68 Ground Effect Vehicles

Introduction

Ground Effect Vehicles (GEVs) are designed to operate in proximity to an impervious surface, such as the ground or water, where airflow interacting with the surface increases static pressure and reduces drag. This phenomenon, known as ground effect, enables the vehicle to generate lift more efficiently and support its weight when flying at low altitudes. GEVs are specifically configured to exploit this ground-effect regime and are often referred to as surface skimmers. They can travel efficiently over flat surfaces without fully flying or floating in water, placing them outside conventional classifications of aircraft and marine vessels. As such, they occupy a hybrid category that requires distinct design, operational, and regulatory approaches.

A hovercraft, also known as an air-cushion vehicle (ACV), creates lift from a powered pressure cushion beneath the vehicle rather than from wing-borne aerodynamic lift. The hovercraft is supported by a combination of a higher-pressure air cushion below the vehicle inside the inner plenum and a jet-thrust contribution from a radial “momentum curtain” of downward flow between the inner and outer plenums, as shown in the schematic of Figure 1. This higher-pressure, momentum jet originates from an engine driving a fan, and the excess pressure generated may also be used to direct bleed air through horizontal jets for forward propulsion and control.

A cross-section of a simple hovercraft using a fan to create a lifting stagnation pressure in a plenum, augmented by the lift produced by a momentum curtain.

The name “hovercraft” was originally used as a trademark associated with Hovercraft Development Ltd., which licensed Saunders-Roe to develop and build hovercraft. However, a hovercraft has since become synonymous with all air-cushioned vehicles capable of hovering above the ground. An example of a modern hovercraft is shown in Figure 2, which is propelled over water by two ducted fans with steerable rudder vanes for directional control. The name “hovercraft” is also known as “Aeroglisseur” (in France), “Luftkissenboot” (in Germany), and “Ground Effect Machine” (in the U.S.).

A commercial hovercraft, which in this case operated over water as a shuttle service to and from an offshore airport in Japan.

Hovercraft are operated by a pilot, much like an aircraft rather than a conventional marine vessel. However, their classification is not straightforward. A hovercraft is supported above the surface by a pressurized air cushion rather than by wing-borne aerodynamic lift, so classifying it strictly as an aircraft is debatable. On the other hand, it can operate on water as a marine vehicle. Therefore, naval architectural and seaborne design requirements also apply, including the need for flotation. Hence, a hybrid vehicle classification is appropriate. Hovercraft can travel over rough terrain, including long grass, brush, water, mud, snow, and land, making them unusual yet highly versatile vehicles for many civilian and military applications.

Another type of GEV employs the wing-in-ground-effect (WIGE) concept, which uses aerodynamic lift enhanced by proximity to the surface, as shown in Figure 3. Unlike a hovercraft, a WIGE vehicle cannot hover and requires forward airspeed to generate lift on its wings. Ground effect modifies the pressure distribution beneath the wings, reduces induced downwash and the influence of the wing-tip vortices, increases the effective aspect ratio, and reduces induced drag. These effects can be further enhanced by suitable fuselage shaping or power-augmented “ram-air” concepts. The upshot is that a WIGE vehicle can skim efficiently over water at airplane speeds (e.g., more than 100 knots), but only if it maintains relatively low altitudes, typically a fraction of its wingspan.

A WIGE vehicle takes advantage of an increase in aerodynamic lift and a reduction in drag.

The concept of WIGE vehicles is not new, and they continue to be explored for military applications, cargo transportation, and even recreational use. Other descriptive names for such vehicles include “surface skimmer,” while the Russian term ekranoplan is also widely used for certain WIGE vehicles. These rather unusual-looking vehicles perform running takeoffs and landings from the water like a seaplane, but they do not have any contact with the water while in “flight.” Some WIGE concepts may also travel over relatively flat ground, similar to a hovercraft, but they are primarily designed for water operations, such as seaplanes. Their operation is generally optimized for water surfaces, although some designs may operate from other sufficiently smooth surfaces, such as ice, snow, or prepared runways.

Figure 4 shows a WIGE vehicle based on the “reverse-delta wing” concept that can also fly out of the ground effect. This vehicle skims over water at speeds that are four or five times those of most watercraft. Although such vehicles operate from water like marine craft, they are aerodynamically similar to airplanes, especially when they can fly out of ground effect. Therefore, their operational classification may fall under aviation, maritime, or hybrid regulatory frameworks depending on the vehicle type and jurisdiction.

The Airfish is a modern wing-in-ground-effect vehicle that can also fly out of ground effect, like an airplane.

Look! That’s a funny-looking boat! Nope, it’s a funny-looking airplane!

The U.K. aviation authorities remain at odds with the European Union (EU) and the U.S. over the classification and regulation of wing-in-ground-effect (WIGE) vehicles. The regulatory classification of WIGE vehicles remains jurisdiction-dependent. The U.K. Civil Aviation Authority (CAA) has treated WIGE vehicles as aircraft when they generate aerodynamic lift with wings. At the same time, the International Maritime Organization (IMO) provides guidance for WIG craft, including safety, navigation, and crew training considerations. In other jurisdictions, including the United States and Europe, the boundary between aviation and maritime oversight has been less settled and may depend on the vehicle’s operating envelope. One day, the authorities will resolve it and reach a consensus. In the meantime, one should be neutral and refer to the concept simply as a “vehicle.” Nevertheless, it may be worthwhile for prospective pilots and operators of WIGE vehicles to obtain maritime certifications and a seaplane rating on a pilot license.

Learning Objectives

  • Review the developmental technical history of ground-effect vehicles (GEVs), such as hovercraft and wing-in-ground-effect (WIGE) vehicles.
  • Explore the anatomy and distinctive design features of ground-effect vehicles, as well as their operational principles.
  • Study the basic aerodynamic theory behind lift production on hovercraft and other ground-effect vehicles.
  • Appreciate the valuable performance characteristics of GEVs and their limitations.

History

As with most flight vehicles, the concepts of “ground effect” and “air-cushioned” vehicles date back over a century. John Thornycroft patented an early concept for an air-cushioned boat in 1877, proposing that the air cushion would reduce the hull’s surface area in contact with the water, thereby reducing drag and increasing speed. He built a catamaran model and used a bellows mechanism driven by a wound-up spring to trap pressurized air between the two hulls. The resulting overpressure partially lifted the boat out of the water, allowing it to glide just above the surface and markedly increase its speed. Thornycroft required a powerful engine to make it practical on a larger scale. Still, it was not until the 1920s, with advancements in internal combustion engines, that proper hovercraft and other GEVs became more viable. In many ways, the availability of high-power-to-weight engines for use in GEVs paralleled the tipping point in the successful development of helicopters.

Hovercraft

In 1915, Dagobert Müller von Thomamühl modified a speedboat by pumping air into the space below its hull. His idea was similar to Thornycroft’s: to reduce hull drag as the boat traveled over the water. Thomamühl’s modified speedboat reportedly reached over 32 knots (59.3 kph), more than twice the original boat’s speed. However, although it could partially lift itself out of the water, it could not hover. The availability of suitable, powerful engines capable of driving a rotor or fan soon led to designs that produced higher air pressure, forming a “cushion” beneath the vehicle. In 1932, Toivo Kaario is believed to have been the first to develop an air-cushion vehicle (ACV), or hovercraft-type ground-effect vehicle, that utilizes this ground-cushion effect. His prototype, dubbed pintaliitäjä (surface hoverer or hovercraft), shown in Figure 5, used a fan driven by a Harley-Davidson motorcycle engine. It was tested until approximately 1935 with modest success, and although Kaario obtained Finnish patents for the design, further development was halted because of insufficient funding.

In the 1930s, Toivo Kaario developed a small personal hovercraft using a fan driven by a motorcycle engine.

In the mid-1930s, Vladimir Levkov developed a series of ACVs capable of hovering above ground or water. The L-1 prototype featured a simple design: a wooden catamaran with two hulls separated by a pressure-filled cavity, following Thornycroft’s ideas and prior work. Further development continued with a series of other prototype machines, each with increasing refinements and performance. One of Levkov’s ACVs, known as the fast-attack L-5 boat or “hover tank,” as shown in Figure 6, achieved a speed of 70 knots (130 kph); a surviving film of its flights is also available. Levkov led the development of several other ACVs, including the much more capable L-11, but these vehicles were destroyed during WWII. At about the same time, Charles Fletcher in the U.S. designed a hovercraft called a “Glidemobile.” This design also trapped pressurized air within a plenum, thereby lifting it above the surface. However, the U.S. government classified the concept shortly after testing, and the prototype was never developed further.

Levkov’s L-5 fast-attack boat, also known as a “hover tank,” was one of the earliest concepts for a hovercraft.

Significant developments in hovercraft technology occurred after WWII. Christopher Cockerell is widely recognized as the pioneer who developed the modern hovercraft. In the mid-1950s, he developed and patented his hovercraft concept, later published as British Patent GB854211A, in which a radial air jet generated a reaction “momentum curtain” force and an excess pressure beneath the vehicle, allowing it to hover and travel above ground or water; see Figure 7. Cockerell’s design used a peripheral jet to help trap and augment the air cushion, significantly improving on certain limitations of earlier air-cushion concepts. Flexible skirts were added later in the development of hovercraft, greatly increasing the effective cushion depth and improving operation over uneven surfaces and waves. He built a small demonstrator of his hovercraft concept to market it. However, shipbuilding companies claimed his invention was an airplane, and aircraft companies claimed it was a ship, so neither was interested in it. Nevertheless, a demonstration of the concept before British Government officials led to a grant for further development, but they also declared it top-secret technology.

Christopher Cockerell patented the hovercraft design, which incorporated a peripheral “momentum curtain” to augment lift production.

The first technically successful hovercraft was the SR-N1 (Saunders-Roe Nautical Model 1), a demonstrator built under Cockerell’s design leadership, with its first flights in June 1959. The initial version had a circular structure resembling a “flying saucer,” a term coined by the press. Later versions featured a bow more akin to a boat, designed to facilitate movement over water, as shown in Figure 8. It was primarily made of riveted aluminum stressed skin, similar to an aircraft, with a separate buoyancy tank for flotation. It used a 450-hp (336 kW) radial aircraft engine to drive a large fan in a duct positioned below an intake nozzle, generating the air cushion beneath the machine and allowing it to hover in the ground effect. Directing some bleed air through ducts to nozzles, rudders, or vanes gave translational speed and directional control. The pilots sat in a small cockpit just forward of the duct. The SR-N1 successfully demonstrated hovercraft technology, including a crossing of the English Channel, and paved the way for the rapid development of larger, more capable concepts.

The first technically successful hovercraft was the SR-N1, built under Cockerell’s design leadership and flown for the first time in June 1959.

Melville Beardsley developed several hovercraft designs in the 1950s and 1960s and founded the National Research Associates (NRA). NRA developed and tested several ACVs, with the Aqua-GEM being sold in limited numbers. The company also sold several small personal hovercraft, including the “Little Skimmer.” The company was wound up in the late 1960s following patent disputes with the British hovercraft industry. William Bertelsen developed a hovercraft concept, the Aeromobile 35-B, in 1959, followed by a series of prototype designs, including the Aeromobile-200, as shown in Figure 9. There is also a film of one of his hovercraft traveling down the streets of Chicago. None of his concepts, however, was to go into production.

William Bertelsen built a single prototype hovercraft, the Aeromobile, in 1959, which he also flew down the streets of Chicago.

By the early 1970s, the basic hovercraft concept had undergone considerable technical development, and larger, more capable hovercraft began to find several helpful, if niche, roles in both civilian and military applications. The Saunders-Roe company continued to develop a series of hovercraft models with increasing capabilities, including the enormous SR-N4, as shown in Figure 10. The SR-N4 and its variants were used to carry up to 400 passengers and 30 vehicles across the English Channel, operating between Ramsgate and Dover in England and Calais and Boulogne in France. The SR-N4 weighed over 250 tons and was powered by four gas-turbine engines driving variable-pitch propellers mounted in swiveling pylons, which could be deflected by {\pm}30 degrees for propulsion and control. It had a cruise speed over the water of 65 knots, making the cross-channel trip in only 30 minutes, about four times as fast as a regular sea ferry. However, such large hovercraft were operationally expensive and not very profitable. With the opening of the Channel Tunnel in 1994, the last two operational SR-N4 hovercraft became obsolete and were retired in October 2000, marking the end of their impressive 30-year continuous service.

For over 30 years, the massive SR-N4 hovercraft carried millions of passengers and vehicles across the English Channel.

Today, various branches of the armed services, particularly the Marine Corps, employ hovercraft or air-cushion vehicles (ACVs) for amphibious operations and search-and-rescue missions. These ACVs mainly transport personnel, weapons, vehicles, equipment, and cargo over diverse terrain. Figure 11 shows the Landing Craft Air Cushion (LCAC), a high-speed, hovercraft-style, fully amphibious landing craft. It can carry a payload of up to 70 U.S. tons (63.5 tonnes), such as trucks, support vehicles, and even an M-1 tank, and land on almost any shoreline worldwide. These fantastic vehicles have proved their worth to armed forces worldwide for several decades.

A Marine Corps hovercraft, or LCACV, used for amphibious operations, can carry trucks or a tank.

The flexibility and speed of hovercraft over water and other terrain also make them suitable for several important service roles, such as patrols and rescue work. Many manufacturers worldwide supply hovercraft for these purposes. Smaller hovercraft are used in Britain as part of the inshore fleet operated by the Royal National Lifeboat Institute. They have been used, with great success, on large areas of tidal mudflats or sand where the surface is too soft to support land vehicles and the water is too shallow for boats.

Smaller hovercraft are used for recreational purposes, including fishing and hunting, across various terrains. Like their larger counterparts, these hovercraft can easily traverse a wide range of terrain, crossing rivers, lakes, snow, and thin ice. They can reach places that are often inaccessible to other vehicles, making them the epitome of amphibious transportation. Some types of single-person sporting hovercraft are used for racing, as shown in Figure 12.

A small personal hovercraft can be used for numerous recreational and sporting purposes, although few are in use.

Wing-in-Ground-Effect Vehicles

An early operational example of the benefits of wing-in-ground effect was the enormous Dornier Do X flying boat, which could benefit from reduced induced drag when flown close to the ocean’s surface. However, purpose-designed wing-in-ground-effect vehicles appeared later, most notably in the Soviet ekranoplan developments of the early 1960s. In wind tunnel tests, it was also found that the vertical proximity of a lifting wing to the ground surface affected both its lift and drag, with beneficial effects when it was less than a chord length above the surface. One reason is the reduction in induced drag caused by the altered trailing-vortex and downwash system near the ground. Pilots also became aware of ground effect during the landing flare, which helped cushion the landings. However, if the airspeeds were too high, they would also “float” down the length of the runway.

Rostislav Alexeyev of the Russian Central Hydrofoil Design Bureau developed the first of a series of specifically designed Wing-in-Ground-Effect (WIGE) vehicles, also known as ekranoplans (meaning “screenplanes”). The SM-1, powered by a single jet engine with two lifting wings, took its first flight in July 1961. The improved SM-2, which flew in March 1962, had a single main wing and large vertical and horizontal stabilizers, as shown in Figure 13. This vehicle incorporated a secondary turbojet engine in its nose to direct air toward the main wing, thereby increasing lift at lower speeds, a phenomenon known as power-augmented lift. During the Cold War, several other WIGE vehicles were explored for various military applications, including troop transport and anti-submarine warfare, but none entered operational service. Nevertheless, development of such ground-effect vehicles continued throughout the 1960s.

The SM-2, which first flew in March 1962, had a single main wing, large tail surfaces, and a turbojet that blew air over the wing to enhance lift.

The first flight of the massive KM (Korabl Maket) ekranoplan, as depicted in Figure 14, took place on October 16, 1966. The vehicle had a cruise speed of 267 mph (430 km/h) and a maximum speed of 311 mph (500 km/h). The KM had a gross weight of 544,000 kg (1,199,313 lb), with a range of 1,500 km (932 miles). The aircraft first appeared in satellite imagery during its trials in the Caspian Sea, its unusual shape raising many questions about its identity and earning it the moniker “Kaspian Monster” or “Caspian Sea Monster.” It underwent trials, various developments, and improvements throughout the 1980s.

The KM (Korabl Maket) ekranoplan underwent trials in the late 1960s at the Caspian Sea and became known as the “Caspian Sea Monster.”

The KM design served as the basis for the Lun-class ekranoplan, developed in the 1980s, with one example entering service with the Soviet Navy and later the Russian Navy. This massive missile-carrying S-31 (MD-160) Lun (“Harrier“), as shown in Figure 15, was powered by eight turbojet engines mounted on a foreplane. Although only one vehicle was built, it had a maximum takeoff weight of 380,000 kg (837,756 lb), a payload of up to 137,000 kg (302,000 lb), and a range of 2,000 km (1,243 miles) at a speed exceeding 200 knots. It could launch up to six cruise missiles and was a potentially formidable weapon; however, it was never used in combat and was retired in the late 1990s.

This Lun-class ekranoplan, the MD-160, was a massive missile-carrying vehicle powered by eight turbojet engines.

Alexander Lippisch designed a WIGE vehicle in the late 1960s. Lippisch was an ambitious and forward-thinking aeronautical engineer who had initially worked for the Zeppelin company in Germany. Lippisch became interested in tailless and other unorthodox aircraft, and significantly advanced aircraft designs of the WWII era soon followed. His most famous design was the Messerschmitt Me 163 rocket-powered interceptor, which saw limited use during WWII but paved the way for future swept-wing aircraft designs. Lippisch patented a WIGE design featuring a “reverse-delta” wing shape with an unswept leading edge and a highly swept trailing edge, as illustrated in Figure 16.

In the late 1960s, the forward-thinking aeronautical engineer Alexander Lippisch patented a “reverse-delta” wing for a ground-effect vehicle, which was later built and “flown.”

Lippisch’s patent was sold to Rhein-Flugzeugbau (RFB), resulting in the X-113, as shown in Figure 17. Anhedral on the wing was found to maintain the benefits of ground effect to a higher cruise altitude over the water, allowing it to operate over rougher seas. It even demonstrated the ability to fly well above ground effect, reaching approximately 1,000 ft (305 m). The wingtips had winglets to increase the effective aspect ratio of the wings and reduce drag, and wing-tip floats to provide stability on the water. A T-tail fin and tail fin were located at the end of a long dorsal fin, the large tail surfaces giving sufficient stability and control.

Lippisch’s WIGE concept became the X-113, powered by a 40 hp (30 kW) engine driving a propeller.

One adverse characteristic of WIGE aircraft is a relatively significant shift in the center of pressure as they move in and out of the ground effect, leading to pitch instability; therefore, a sizable horizontal tail and good elevator authority are required. The first flight of the X-113 took place in October 1970, and tests continued until 1974; however, the vehicle did not enter production. However, many WIGE vehicles are derivatives of the reverse delta wing concept, such as the Airfish, Eska, and XTW, which have demonstrated that high lift-to-drag ratios of 20:1 are achievable with this configuration.

There has been intermittent interest in WIGE vehicles over the last few decades. DARPA evaluated the Aerocon “Wingship” design as part of a technical study of the WIGE concept for military uses during the 1990s. However, the idea did not progress. In 2002, Boeing’s Phantom Works unveiled a WIGE called the Pelican. It would have been the biggest and heaviest aircraft ever built, but the project seems to have faded into obscurity. However, the WIGE concept has recently received renewed attention from various aerospace companies and government organizations, such as DARPA, which have proposed reconsidering such a surface-skimmer ground-effect vehicle for efficient, long-range, heavy-lift transport over oceans.

The DARPA Liberty Lifter program aimed to develop a large seaborne transport aircraft that could exploit wing-in-ground effect for efficient, long-range, heavy-lift operations over oceans; an artist’s impression of one concept is shown in Figure 18. DARPA completed its Liberty Lifter work in June 2025 after simulation, scaled-model, materials, and manufacturing studies, but did not proceed to building a demonstrator aircraft. The program nevertheless showed continuing interest in WIGE-type concepts for maritime logistics and military transport applications.

A conceptual design of a large ocean-crossing WIGE aircraft designed under DARPA’s Liberty Lifter program.

Anatomy of GEVs

The anatomy of ground-effect vehicles (GEVs), which encompass various hovercraft and wing-in-ground-effect concepts, is somewhat unfamiliar to most people, including engineers. Their principle of operation is relatively straightforward. However, the aerodynamics underlying their performance and handling characteristics require a deeper understanding. Both vehicles operate under the well-known “ground cushion” effect, which results from redistributed air pressure beneath and above the vehicle, thereby increasing lift and helping overcome its weight. It should be noted that even slight pressure differences can generate significant lift forces when acting over large surface areas.

Hovercraft Anatomy

The anatomy of a generic hovercraft is shown in the schematic in Figure 19. The ground cushion between the vehicle and the surface is created using one or more engine-generated fan combinations. Piston or turboshaft engines can be used, although turbocharged marine diesel engines are also common in modern hovercraft. The fan, sometimes referred to as an impeller, draws in air to increase its static pressure. Either axial or centrifugal fans can be used. The fan must be highly efficient, requiring carefully designed blades with appropriate airfoil sections, blade twist, and planform shape. This higher-pressure air is channeled and distributed in a plenum beneath the vehicle, creating a lift force that helps the vehicle to rise just above the surface, as illustrated in Figure 19.

The general anatomy of a hovercraft. While every hovercraft may seem unique in detail, the principles remain the same.

Lift Fan(s)

While the fan may generate some vertical lift, depending on its design (i.e., axial or centrifugal), this is only a fraction of the lift generated by the increased static pressure beneath the vehicle. The flexible skirt or curtain produces the remaining lift force, directing airflow as a slightly inwardly angled jet that impinges on the surface. The effect provides an additional momentum lift to the vehicle, exceeding the pressure force generated in the plenum, known as the “momentum curtain,” as proposed by Cockerell.

Increasing the power delivered to the fan increases its rotational speed, thereby increasing the static pressure and the height above the surface. However, more air escapes beneath the skirts when this occurs, thereby diminishing the pressure-cushion effect. The vehicle reaches an equilibrium height when the skirt’s bottom is a short distance above the surface; judicious application of engine power can regulate the ride height.

Engines

One or more engines can power a hovercraft. Smaller hovercraft may use a single engine, with the drive split via a gearbox, delivering power to the lift fan and the remainder to the propulsion system. Other hovercraft may use ducting to enable a single engine to perform both tasks, directing some air to the skirt and the remainder through horizontal ducts for propulsion. On a hovercraft with several engines, one usually drives the lift fan, and the other engines drive propellers or fans. Larger, heavier hovercraft may incorporate variable- and reversing-pitch propellers that can swivel on pylons to improve performance and control.

Propulsion is a vital aspect of hovercraft design, and modulation of the thrust is essential for forward, backward, and lateral movements. To this end, hovercraft may use differential propeller pitch, rudders, and/or vectored thrust to achieve control. Rudders assist with yaw (directional changes). At the same time, vanes located below the fan or within the plenum can be used to control the fan’s mass flow, thereby regulating pressure and providing pitch and roll control. Modern hovercraft may also have control systems that augment stability and responsiveness to control inputs.

Skirt

An essential part of the anatomy of a hovercraft is its flexible rubber skirt, which extends around the periphery of the hovercraft and encapsulates the pressure plenum. A secondary skirt or curtain with inward-pointing, independent, flexible extensions, known as fingers, allows the skirt to deform when it strikes an obstacle or traverses uneven terrain or choppy seas, minimizing pressure loss below the vehicle. While other concepts may be used, skirts must be flexible and adaptable to accommodate changes in surface contours while maintaining an effective seal.

Control

A hovercraft can move in any direction over a surface, but it is more difficult to control than a boat or a terrestrial vehicle. Therefore, this issue presents unique challenges in its control, specifically determining the machine’s center of gravity (CG) and ensuring it moves in the correct direction. Methods used include aerodynamic control surfaces (e.g., rudders), differential thrust, thrust vectoring, differential plenum pressure, and air jets. Control surfaces, such as rudders, as shown in Figure 20, provide an effective and responsive means for directional control in the slipstream of a propeller. However, their effectiveness is reduced at lower airspeeds and low thrusts. Adverse coupling between yaw and roll can occur if the center of pressure of these surfaces is high relative to the c.g. of the vehicle. Another method of control is to use pressurized bleed air, which is ejected through nozzles mounted at appropriate locations to generate yawing moments and side forces. However, their response time is relatively long, so pilots must anticipate the vehicle’s behavior well in advance.

 

Methods of steering a hovercraft include aerodynamic rudders, differential propulsor thrust, thrust vectoring, or combinations of these methods.

Differential thrust can be produced with twin propellers mounted laterally, side by side, by controlling the propeller pitch angles and/or rotational speeds. In this fixed, side-by-side propeller configuration, the thrust is parallel to the vehicle’s longitudinal axis, introducing a turning/speed coupling effect. The vehicle must also maintain some yaw angle to generate a lateral force that balances centrifugal forces during a turn, as illustrated in Figure 21. Higher centrifugal forces on larger vehicles during turns mean that thrust vectoring is the most effective method for achieving directional control, which can also be balanced using rudders. Water rudders can also be deployed during over-water operations to improve control and reduce the turning radius.

A hovercraft must perform a “flat” turn, which requires careful use of differential thrust (if available) and rudder controls.

The yawing moment and side force required for directional (yaw) control can also be generated using fore-and-aft swiveling pylon-mounted propellers or other azimuthing propulsor mounts. For some designs, the swivel angle must be limited on either side of the longitudinal axis to limit the magnitude of the adverse rolling moment on the hovercraft relative to its c.g. Compared with the fixed side-by-side propeller arrangement, swiveling pylon-mounted propellers can generate a higher yawing moment because the propellers can be mounted further from the vehicle’s c.g., and less forward thrust is lost for a given yawing moment. Aerodynamic rudders can help balance the turn to minimize yaw, potentially requiring cross-controlled inputs.

WIGE Anatomy

By design, this type of flight vehicle leverages ground effect to lift above the water surface. However, it still flies close to the surface, typically at a distance less than half its wingspan. Such WIGE vehicles can achieve high cruise speeds on surfaces such as water with good aerodynamic efficiency. Much of the power required by the engines is used during takeoff to overcome hydrodynamic drag from the water. Once airborne and at an equilibrium height in ground-effect conditions, drag decreases substantially, allowing the vehicle to cruise at a relatively high speed with significantly lower power requirements. Cruise speeds of 200 knots or more are entirely possible. There are three types of WIGE vehicles, as shown in Figure 22: an ekranoplan, a reverse delta wing, and a tandem wing. They are distinct from conventional subsonic aircraft because of their typically small main wing aspect ratio, the addition of endplates and floats, and unique fuselage/hull shapes that enable them to take off and land on water.

 

There are three types of WIGE vehicles: An ekranoplan, a reverse delta wing, and a tandem wing.

The more detailed anatomy of a wing-in-ground-effect (WIGE) vehicle, also known as an ekranoplane (after the Russian concept), is illustrated in the schematic of Figure 23. Ekranoplans are typically powered by turbojet or turboprop engines, which provide the thrust required for lift and propulsion. The number and placement of engines depend on the ekranoplan’s specific design and size. Placing the engines on a foreplane canard directs the jet exhaust downward toward the wings, thereby increasing their lift. The lift augmentation provided by the propulsive system can be significant, enabling the vehicle to transition from the high drag of seaborne operation to free flight, similar to an airplane. Full-span trailing-edge flaps on the wings help trap higher-pressure air beneath them, creating the “ram air” effect and reducing takeoff distance over water.

 

The general anatomy of a wing-in-ground effect ekranoplan.

Wings

Like all WIGE vehicles, ekranoplans have large-surface-area wings but are relatively short-winged and have a fairly low aspect ratio, typically between 2 and 3. It is well known that higher-aspect-ratio wings have the lowest induced drag, but at the expense of greater structural weight. However, for a WIGE vehicle, proximity to the ground modifies the pressure distribution beneath the wing and reduces the induced downwash associated with the trailing-vortex system. This effect increases the wing’s effective aspect ratio, providing some of the induced-drag benefits normally associated with a higher-aspect-ratio wing while allowing the actual wing span to remain relatively short, thereby reducing structural weight. Flotation sponsons are required at the tips of the wings to provide the vehicle with lateral stability in water.

Fuselage/Hull

Like an airplane, the fuselage of a WIGE vehicle houses the cockpit and other essential flight systems, including volume for a payload. However, unlike a conventional airplane, the fuselage must be designed to be both aerodynamic and hydrodynamic. The hull must provide adequate buoyancy and stability while the vehicle is at rest, withstand water impact and slamming loads, control spray, and allow the vehicle to transition from displacement motion through the hump-drag condition and onto the step during takeoff.

These requirements are similar to those for a flying boat. The lower hull may incorporate chines and one or more transverse steps to reduce hydrodynamic drag and promote clean flow separation as speed increases. Wingtip floats, or sponsons, provide lateral stability on the water. Because these features add structural weight and aerodynamic drag, the hull design represents a compromise among buoyancy, seaworthiness, takeoff performance, structural strength, and cruise efficiency.

Empennage

Like all aircraft, WIGE aircraft have an empennage comprising horizontal and vertical stabilizers. The horizontal tail must have a significant area and control authority to compensate for changes in pitching moment as the vehicle reaches an altitude that exits ground effect. A large dihedral angle on the horizontal tail can significantly enhance lateral stability. At the same time, the main wing typically has either minimal dihedral or even anhedral characteristics, thereby making no direct contribution to stability. Anhedral can help maintain the benefits of ground effect at greater altitudes over water, thereby benefiting operations in rough seas.

Control

The control of WIGE vehicles is similar to that of hovercraft. Turns are made in a horizontal plane, for which the balance of centrifugal and aerodynamic forces must be considered, as shown in Figure 24. Wide-radius skidding turns are the norm, depending on the thrust available and rudder authority. If the vehicle can fly slightly higher above the ground or water, then banking by differentially applying the flaperons can increase the bank angle to control the turn. However, the needed proximity to the ground for operational functionality may still limit the bank angle.

Large-radius skidding turns are the norm for WIGE vehicles.

Hovercraft Performance

Two types of hovercraft require analysis. The first is the pure plenum type, in which the vehicle is lifted entirely by the fan’s increased pressure differential. The second type is the plenum type, augmented by a “momentum curtain” or peripheral jet, in which a combination of differential plenum pressure and the reaction force of the peripheral jet impinging on the ground contributes to lift production. It is known that the latter type is preferred for a hovercraft because it generates more lift; however, both types merit analysis to reveal their performance and design characteristics.

Both can be analyzed, at least initially, by applying the conservation principles of mass, momentum, and energy in their integral forms. The published literature shows that the theory of hovercraft arises in two distinct fluid-dynamic contexts. The first theory is a plenum-discharge analysis derived from internal-flow theory. The second comes from the aerodynamic theory for a lift fan. As will be shown, both theoretical approaches yield the same results for the power required to lift a hovercraft off a surface to a specified hover height.

Fan/Plenum Theory

Figure 25 shows a cross-section of the control volume of a simple hovercraft that uses a pure plenum-type system to lift the vehicle. Assume that the hovercraft has a weight W and is of circular airframe shape with an effective pressure-cushion radius R_c. A fan of radius R_f, driven by an engine, draws air from the ambient atmosphere at pressure p_a and does work on the air to raise its static pressure by \Delta p, producing a stagnation pressure p_0 inside the plenum as the flow velocities approach zero. The resulting pressure differential, p_0 - p_a, acting over the surface of the plenum, becomes the primary source of lift on the hovercraft. The other source of lift is the thrust produced by the fan itself; however, in practice, this contribution is smaller and, in the first instance, can be neglected. It is assumed that air continuously and steadily escapes from beneath the hovercraft around the periphery of the plenum.

A flow model that can be used to develop the fan/plenum theory of the hovercraft.

From the conservation of mass, the inlet mass flow rate through the fan must equal the exit mass flow rate around the periphery of the plenum, i.e.,

(1)   \begin{equation*} \overbigdot{m} = \varrho \, v_i \pi \, R_f^2 = 2 \, \varrho \, V_c \, \pi \, R_c \,  h_c \end{equation*}

where v_i is the velocity induced through the fan and V_c is the leakage velocity under the skirt, assuming uniform leakage velocity and gap height around the periphery. Therefore, the relationship between the fan-induced velocity and the exit velocity can be written as

(2)   \begin{equation*} \dfrac{v_i}{V_c} = \dfrac{2 \, R_c \, h_c}{R_f^2} \end{equation*}

The fan does work on the air to increase its static pressure by the amount

(3)   \begin{equation*} \Delta p = p_0 - p_a = \frac{T}{A_f} \end{equation*}

where T is the fan thrust and A_f=\pi \,  R_f^2 is the fan disk area. Therefore, the lift production from the pressure distribution in the plenum depends on the fan disk loading, T/A_f.

Because the plenum pressure supports the vehicle’s weight,

(4)   \begin{equation*} \Delta p = \dfrac{W}{A_c - A_f} = \dfrac{W}{\pi\left(R_c^2 - R_f^2\right)} \end{equation*}

where A_c = \pi R_c^2 is the cushion planform area. The fan thrust required to sustain hover is

(5)   \begin{equation*} T = \frac{W \,  A_f}{A_c - A_f} = \frac{W \,  R_f^2}{R_c^2 - R_f^2} = W \left( \frac{R_f^2}{R_c^2 - R_f^2} \right) = W \left( \frac{1}{\left(\dfrac{R_c}{R_f}\right)^2 - 1} \right) \end{equation*}

For most hovercraft, the ratio R_c/R_f is greater than 10. A critical attribute of the hovercraft is its ability to distribute the pressure increment induced by the fan over a relatively large surface area, producing substantially more lift than the fan disk alone could generate. This illustrates the benefit of distributing the fan-induced pressure over a large effective cushion area rather than relying solely on the fan disk area.

The leakage velocity beneath the skirt is related to the cushion overpressure by

(6)   \begin{equation*} V_c = \sqrt{ \frac{2 \Delta p}{\varrho} } \end{equation*}

which follows from Bernoulli’s equation applied between the plenum and the ambient conditions at the skirt exit, assuming negligible losses and uniform discharge. From the conservation of mass, the induced velocity through the fan must then be

(7)   \begin{equation*} v_i = V_c \left( \dfrac{2 \,  R_c \,  h_c}{R_f^2} \right) = \sqrt{ \dfrac{2 \,  \Delta p}{\varrho} } \left( \dfrac{2 \, R_c \,  h_c}{R_f^2} \right) \end{equation*}

Substituting for \Delta p gives

(8)   \begin{equation*} v_i = \sqrt{ \dfrac{2 \,  W}{\varrho \,  \pi \left(R_c^2 - R_f^2\right)} } \left( \dfrac{2 \, R_c \,  h_c}{R_f^2} \right) \end{equation*}

The power required by the fan to sustain hover, obtained from conservation of energy, is

(9)   \begin{equation*} P_{\rm ideal} = T \, v_i = \frac{2\sqrt{2}\, W^{3/2} R_c \,  h_c} {\sqrt{\pi \,  \varrho}\,\left(R_c^2 - R_f^2\right)^{3/2}} \end{equation*}

and with the fan efficiency, \eta_{\rm fan}, included, then

(10)   \begin{equation*} P_{\rm req} = \frac{2 \, R_c \,  h_c}{\eta_{\rm fan}} \left( \frac{W}{R_c^2 - R_f^2} \right)^{3/2} \sqrt{ \frac{2}{\pi \,  \varrho} } \end{equation*}

Notice that the power required to hover scales with the vehicle weight raised to the 3/2 power and is linearly proportional to the hover (ride) height h_c. Additional pressure losses in the fan and plenum, as well as frictional losses associated with flow over the ground, are expected to increase the required power by at least 30%. Despite the associated weight penalty, a power margin of at least 100% is advisable to ensure hovercraft operability under a wide range of operating conditions.

Check Your Understanding #1 – Power required for a plenum hovercraft

A small plenum-type hovercraft has a weight, W, of 4,000 lb. It is of the disk or “saucer” type with a plenum of effective cushion lifting radius, R_c, of 12 ft. The lift fan has a radius of 3 ft. At MSL ISA conditions, estimate the power required for a hover ride height of h_c = 1.0 ft, where h_c is the hover (ride) height. Assume a net power system efficiency of 70%.

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The hovercraft theory gives the power required as

    \[ P_{\rm req} = 2\pi \, R_c \, h_c \left( \dfrac{W}{A_c - A_f} \right)^{3/2} \sqrt{ \dfrac{2}{\varrho} } \]

assuming a discharge coefficient of unity. Here,

    \[ A_c - A_f = \pi\left(R_c^2 - R_f^2\right) \]

where A_f = \pi R_f^2 is the fan disk area. Inserting the numerical values gives

    \[ P_{\rm req} = 2\pi(12.0)(1.0) \left(\dfrac{4{,}000}{\pi\left(12.0^2 - 3.0^2\right)}\right)^{3/2} \sqrt{\dfrac{2}{0.002378}} = 63{,}333.7~\mbox{ft-lb s$^{-1}$} \]

    \[ = \dfrac{63{,}333.7}{550} = 115.15~\mbox{hp} \]

where MSL ISA density is 0.002378 slug/ft^{3}. If losses yield an overall fan and flow-system efficiency of \eta_{\rm fan} = 0.70, the required shaft power increases to

    \[ P_{\rm shaft} = \dfrac{115.15}{0.70} = 164.5~\mbox{hp}. \]

Peripheral Jet Theory

Figure 26 shows the cross-section of a hovercraft that uses the “momentum curtain” type. Again, assume that the hovercraft has a weight W and is of the circular “flying saucer” type with an effective pressure cushion of radius R_c. In this case, the fan operates on air flowing through the volume between the inner and outer plenums. The resulting flow provides jet thrust as it exhausts vertically downward through a plenum gap of width w, which then impinges on the ground surrounding the vehicle’s periphery. In this case, the momentum-jet reaction enhances the hovercraft’s lift beyond that produced by the stagnation overpressure in the plenum.

Flow model used to develop the peripheral jet or “momentum curtain” effect.

The peripheral jet, or “momentum curtain,” does not produce a separate lift force that can simply be added to the lift from the cushion pressure. Instead, the momentum of the curved peripheral jet maintains the pressure difference between the air cushion and the ambient atmosphere. The cushion pressure then acts over the underside of the vehicle to support its weight.

The area of the annular jet slot, A_j, is

(11)   \begin{equation*} A_j = \pi \left[\left(R_c+w\right)^2-R_c^2\right] = \pi\left(2R_cw+w^2\right) \end{equation*}

If w \ll R_c, then

(12)   \begin{equation*} A_j \approx 2\pi R_cw \end{equation*}

Let V_j be the velocity of the peripheral jet. The corresponding mass flow rate is

(13)   \begin{equation*} \overbigdot{m} = \varrho V_jA_j \end{equation*}

or, using the thin-slot approximation,

(14)   \begin{equation*} \overbigdot{m} \approx 2\pi\varrho R_cwV_j \end{equation*}

As the jet approaches the surface, it turns from a nearly vertical direction to a nearly horizontal direction. The pressure difference across this curved jet provides the centripetal force required to turn the flow. For a thin jet of thickness w following a path with an effective radius of curvature approximately equal to the hover height h_c, the normal momentum equation gives

(15)   \begin{equation*} \frac{dp}{dn} = \varrho\frac{V_j^2}{h_c} \end{equation*}

Integrating across the jet thickness gives the approximate cushion-pressure difference

(16)   \begin{equation*} \Delta p_c = p_c-p_a \approx \varrho V_j^2\frac{w}{h_c} \end{equation*}

where p_c is the cushion pressure and p_a is the ambient atmospheric pressure.

The cushion pressure acts over the effective cushion area

(17)   \begin{equation*} A_c=\pi R_c^2 \end{equation*}

so vertical equilibrium requires

(18)   \begin{equation*} W = \Delta p_cA_c \end{equation*}

Substituting Eq. 16 gives

(19)   \begin{equation*} W = \varrho V_j^2\frac{w}{h_c}\pi R_c^2 \end{equation*}

Therefore, the required peripheral-jet velocity is

(20)   \begin{equation*} V_j = \sqrt{ \frac{W h_c} {\varrho\pi R_c^2w} } \end{equation*}

The stagnation-pressure rise supplied by the fan is related to the jet velocity by

(21)   \begin{equation*} \Delta p_0 \approx \frac{1}{2}\varrho V_j^2 \end{equation*}

The ratio of the cushion pressure to the fan stagnation-pressure rise is then

(22)   \begin{equation*} \frac{\Delta p_c}{\Delta p_0} \approx \frac{2w}{h_c} \end{equation*}

Therefore, when h_c \gg w, the cushion pressure is much smaller than the fan stagnation-pressure rise, which is consistent with the thin peripheral-jet approximation.

The ideal volume flow rate through the peripheral jet is

(23)   \begin{equation*} Q = A_jV_j \approx 2\pi R_cwV_j \end{equation*}

and the ideal fan power is

(24)   \begin{equation*} P_{\rm ideal} = \Delta p_0Q = \frac{1}{2}\varrho V_j^2 \left(2\pi R_cwV_j\right) \end{equation*}

or

(25)   \begin{equation*} P_{\rm ideal} = \pi\varrho R_cwV_j^3 \end{equation*}

Substituting Eq. 20 gives

(26)   \begin{equation*} P_{\rm ideal} = \frac{W^{3/2}h_c^{3/2}} {\sqrt{\pi\varrho}\,R_c^2\sqrt{w}} \end{equation*}

Including the net fan and flow-system efficiency, \eta_{\rm fan}, gives

(27)   \begin{equation*} P_{\rm req} = \frac{1}{\eta_{\rm fan}} \frac{W^{3/2}h_c^{3/2}} {\sqrt{\pi\varrho}\,R_c^2\sqrt{w}} \end{equation*}

These equations show that the peripheral jet supports the vehicle indirectly by maintaining the cushion pressure. Its benefit does not arise from adding an independent momentum-lift force to the pressure lift. Instead, the high-momentum jet restricts outward leakage from the cushion and permits the required cushion pressure to be maintained with a smaller volume flow than an open-plenum configuration. In practice, viscous losses, jet spreading, imperfect turning, nonuniform slot flow, skirt deformation, and surface roughness increase the required power above the ideal value.

Check Your Understanding #2 – Power required for a peripheral-jet hovercraft

For the hovercraft assumed in Check Your Understanding #1, estimate the peripheral-jet velocity, volume flow rate, and power required to support the vehicle using the momentum-curtain model. Assume that the vehicle weight is W = 4{,}000 lb, the effective cushion radius is R_c = 12 ft, the hover height is h_c = 1.0 ft, and the curtain-jet width is w = 0.25 ft. Use MSL ISA conditions and assume a net fan and flow-system efficiency of 70%.

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The peripheral jet maintains the cushion pressure by turning near the surface. The required jet velocity is

    \[ V_j = \sqrt{ \frac{W h_c} {\varrho \pi R_c^2 w} } \]

Using \varrho = 0.002378 slug/ft^3 gives

    \[ V_j = \sqrt{ \frac{4{,}000 \times 1.0} {0.002378 \times \pi \times 12.0^2 \times 0.25} } = 122.0~\mbox{ft/s} \]

The annular jet area is

    \[ A_j \approx 2\pi R_cw = 2\pi(12.0)(0.25) = 18.85~\mbox{ft}^2 \]

Therefore, the volume flow rate is

    \[ Q = A_jV_j = 18.85 \times 122.0 = 2{,}299~\mbox{ft}^3/\mbox{s} \]

The required cushion-pressure difference is

    \[ \Delta p_c = \frac{W}{\pi R_c^2} = \frac{4{,}000}{\pi(12.0)^2} = 8.84~\mbox{lb/ft}^2 \]

The corresponding ideal stagnation-pressure rise supplied by the fan is

    \[ \Delta p_0 = \frac{1}{2}\varrho V_j^2 = \frac{1}{2}(0.002378)(122.0)^2 = 17.68~\mbox{lb/ft}^2 \]

which is consistent with

    \[ \frac{\Delta p_c}{\Delta p_0} = \frac{2w}{h_c} = \frac{2(0.25)}{1.0} = 0.50 \]

The ideal fan power is

    \[ P_{\rm ideal} = \Delta p_0Q = 17.68 \times 2{,}299 = 40{,}652~\mbox{ft-lb/s} \]

or

    \[ P_{\rm ideal} = \frac{40{,}652}{550} = 73.9~\mbox{hp} \]

Including the net fan and flow-system efficiency gives

    \[ P_{\rm req} = \frac{P_{\rm ideal}}{\eta_{\rm fan}} = \frac{73.9}{0.70} = 105.6~\mbox{hp} \]

Therefore, the idealized peripheral-jet system requires a jet velocity of approximately 122 ft/s, a volume flow rate of approximately 2,300 ft^3/s, and a shaft power of approximately 106 hp. This result is lower than the corresponding open-plenum estimate because the peripheral jet helps contain the cushion pressure and reduces the required leakage flow. In practice, jet spreading, skirt losses, nonuniform discharge, viscous effects, and imperfect flow turning will increase the required power.

Forward Motion of a Hovercraft

In addition to lifting fans, a hovercraft must have some form of propulsion to overcome aerodynamic drag and other forms of resistance, enabling it to move over land or water. Several drag components, some unique to hovercraft, must be considered when estimating the performance of such vehicles in forward motion. In addition to the parasitic drag on the hovercraft, there are contributions from momentum drag, trim drag, and skirt contact drag. For overwater operations, wetting drag and other wave-induced hull drag must also be accounted for. Therefore, the drag buildup for a hovercraft is more complex than that for an airplane because it must account for both aerodynamic and hydrodynamic effects, as well as interactions among the vehicle, ground, and water, all of which are difficult to quantify.

The use of flexible skirts of various designs has permitted a considerable reduction in ride height, reducing the power required. However, a lower clearance height may increase contact drag between the skirt and the surface, thereby increasing vehicle drag and the required propulsive power. In hovercraft design, there must be a good balance between the power installed for lift and propulsion, which affects the total power required to move over a given surface at a given weight and speed. Sufficient thrust and power margins are necessary to prevent overestimating performance, thereby enabling the hovercraft to operate across a broad range of terrain and sea states.

Aerodynamic Parasitic Drag

All vehicles create aerodynamic parasitic drag when moving through the air, denoted as D_p. This drag component can be calculated using the standard drag formula

(28)   \begin{equation*} D_p = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 \, A_{\rm ref} \, C_D \end{equation*}

where {V_{\infty}} is the freestream airspeed of the hovercraft relative to the surface (although, technically, relative to the air), and C_D is the drag coefficient of the specific shape of the hovercraft. Most hovercraft are not particularly streamlined, partly for utility, and they do not need to be because they operate at relatively low speeds compared with airplanes. Drag coefficients for hovercraft shapes have been obtained from wind-tunnel tests and have been found to range in value from 0.25 to 0.4, where A_{\rm ref} is based on the reference frontal area. Instead of using a drag coefficient and an often ambiguous reference area, it is useful to represent the drag in terms of the equivalent drag area, f_e = A_{\rm ref} \, C_D, i.e.,

(29)   \begin{equation*} D_p = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 \, f_e \end{equation*}

Skirt Contact Drag

While a hovercraft is designed to have a cushion height h_c and a skirt clearance, there can still be some contact between the rubber skirt and the terrain under certain conditions. Therefore, the manifestation of this contact is a drag component known as the skirt contact drag, D_{\rm sk}. Contact primarily occurs when the hovercraft traverses rough terrain, such as tall grass, vegetation, or brush. This source of drag will also depend on the cushion height, which can be represented as

(30)   \begin{equation*} { D_{\rm sk} = C_{\rm sk} \, W } \end{equation*}

where C_{\rm sk} is a drag coefficient at a certain cushion height. Notice that skirt contact drag is analogous to a friction force, depending primarily on the normal load (weight), although it may also vary with surface conditions and forward speed.

There are no reliable methods to predict this drag component other than semi-empirical rules derived from experiments. However, available results suggest that for average cushion heights, the value of C_{\rm sk} ranges from approximately 0.01 on smooth surfaces, such as concrete or short grass, to approximately 0.05 on long grass, vegetation, or brush. In some cases, increasing the lifting fan power can increase the cushion height and reduce the drag from skirt contact.

Momentum Drag

When a hovercraft moves forward over land or water, the lift system must continually ingest and discharge air through leakage flows in the cushion and skirt. In the vehicle-fixed reference frame, the incoming air has a forward relative velocity equal to the hovercraft speed, {V_{\infty}}. The lift fan and cushion system must turn and discharge this air downward and outward through the skirt gap, thereby changing its streamwise momentum. The reaction associated with this change in momentum appears as an additional resistance on the vehicle, known as momentum drag.

A simple estimate of the momentum drag is obtained by multiplying the mass flow rate through the cushion system by the forward speed, i.e.,

(31)   \begin{equation*} D_m = \overbigdot{m} \, V_{\infty} \end{equation*}

where \overbigdot{m} is the mass flow rate through the air-cushion system. For a circular hovercraft with an effective cushion radius R_c, cushion height h_c, and mean leakage velocity V_c, the corresponding volume flow rate is

(32)   \begin{equation*} Q = 2 \pi \, R_c \, h_c \, V_c \end{equation*}

so the mass flow rate is

(33)   \begin{equation*} \overbigdot{m} = \varrho \, Q = \varrho \left( 2 \pi \, R_c \, h_c \, V_c \right) \end{equation*}

Therefore, the momentum drag may be written as

(34)   \begin{equation*} D_m = \varrho \left( 2 \pi \, R_c \, h_c \, V_c \right) V_{\infty} \end{equation*}

This expression should be interpreted as an order-of-magnitude estimate. In practice, the effective momentum drag depends on the intake geometry, fan installation, cushion flow pattern, skirt leakage distribution, and the degree to which the incoming dynamic pressure is recovered at the lift-fan inlet. This intake dynamic-pressure recovery can offset some of the nominal momentum drag so that the net value may be appreciably lower than \overbigdot{m}V_{\infty}. For preliminary analyses, the momentum-drag contribution is often small compared with aerodynamic drag, skirt-contact drag, and overwater drag, and it may be neglected when a conservative installed-power margin is considered.

Trim Drag

If the bottom of the hovercraft is not horizontal to the surface, i.e., it is tilted forward or backward, then there will be a horizontal component of the cushion lift that will contribute to the drag. Because vertical equilibrium requires L\cos\theta_t = W, the horizontal component is

(35)   \begin{equation*} D_{\rm trim} = L \sin \theta_t = W \tan \theta_t \approx W \, \theta_t \end{equation*}

where \theta_t is the angle between the cushion base and the surface, which could be nose-down or nose-up. Therefore, trim drag can act either in the direction of motion (as thrust) or opposite to it (as drag), depending on the trim state. Because the trim state also affects skirt contact drag, the hovercraft’s weight and balance must be properly maintained.

Overwater Drag

For overwater operations, a hovercraft experiences additional resistance beyond aerodynamic drag, momentum drag, trim drag, and skirt-contact drag. These added components arise primarily from skirt wetting, spray impingement, and wave-making effects. The total overwater drag can be written as

(36)   \begin{equation*} D_{\rm ow} = D_{\rm wet} + D_{\rm spray} + D_{\rm wave} \end{equation*}

where D_{\rm wet} is the drag associated with intermittent water contact by the skirt or lower structure, D_{\rm spray} is the drag caused by water spray striking the skirt, hull, or other lower surfaces, and D_{\rm wave} is the resistance associated with the wave system generated by the moving pressure cushion.

The skirt-wetting contribution can be represented in a form analogous to skirt contact drag over land, i.e.,

(37)   \begin{equation*} D_{\rm wet} = C_{\rm wet} \, W \end{equation*}

where C_{\rm wet} is a semi-empirical wetting-drag coefficient that depends on cushion height, skirt geometry, vehicle speed, sea state, and the degree of water contact. Spray drag may be expressed in the approximate form

(38)   \begin{equation*} D_{\rm spray} = \frac{1}{2} \, \varrho_w \, V^2 \, S_{\rm spray} \, C_{\rm spray} \end{equation*}

where \varrho_w is the density of water, V is the vehicle speed over the water, S_{\rm spray} is an effective area exposed to spray impingement, and C_{\rm spray} is an empirical coefficient that accounts for the direction, intensity, and momentum loss of the spray.

Wave-making drag is also important because the pressure cushion and lower hull disturb the water surface as the vehicle moves forward. Its scaling is commonly related to the Froude number, defined as

(39)   \begin{equation*} Fr = \frac{V}{\sqrt{g L_{\rm eff}}} \end{equation*}

where L_{\rm eff} is an effective cushion or hull length in the direction of travel. Therefore, the wave-making component may be expressed in the general semi-empirical form

(40)   \begin{equation*} D_{\rm wave} = W \, C_{\rm wave}\left(Fr,\frac{h_c}{L_{\rm eff}},\frac{H_w}{L_{\rm eff}}\right) \end{equation*}

where h_c is the cushion height and H_w is a representative wave height. This form emphasizes that wave-making resistance is a nonlinear function of speed, cushion geometry, and sea state, so it is usually estimated from empirical data, model tests, or full-scale trials.

Hump Speed

A characteristic feature of overwater operation is the speed at which the hydrodynamic resistance reaches a maximum, often called the hump speed. This condition occurs when the wave system generated by the moving pressure cushion becomes comparable in length to the effective waterborne length of the cushion or hull, analogous to the role of waterline length for a boat. In approximate terms, the hump condition occurs when

(41)   \begin{equation*} Fr = O(1) \end{equation*}

or

(42)   \begin{equation*} V_{\rm hump} \sim \sqrt{g L_{\rm eff}} \end{equation*}

although the actual value depends strongly on cushion pressure, skirt geometry, sea state, and hull form. Significant thrust may be required to pass through this hump-drag region. Once beyond it, the hovercraft can ride higher on its cushion and skim more cleanly over the water, so the hydrodynamic contribution to the total drag may decrease even as aerodynamic drag continues to increase with speed.

Total Drag

The aggregate contribution of all drag sources is shown qualitatively in Figure 27. The total drag on a hovercraft may be written as a buildup of the principal contributions, i.e.,

(43)   \begin{equation*} D_{\rm total} = D_p + D_{\rm sk} + D_m + D_{\rm trim} + D_{\rm ow} \end{equation*}

where D_p is the aerodynamic parasitic drag, D_{\rm sk} is the skirt contact drag, D_m is the momentum drag, D_{\rm trim} is the trim drag, and D_{\rm ow} represents the additional overwater drag contributions, including wetting, spray, and wave-making effects.

Representative drag breakdown for a hovercraft operating over land and water.

The propulsive power required to overcome the drag is

(44)   \begin{equation*} P_{\rm prop} = D_{\rm total} \, V_{\infty} \end{equation*}

so any drag component that increases strongly with speed can impose a substantial power penalty. For example, because aerodynamic parasitic drag varies approximately as

(45)   \begin{equation*} D_p = \frac{1}{2} \, \varrho_{\infty} \, V_{\infty}^{2} \, f_e \end{equation*}

the corresponding parasitic power varies as

(46)   \begin{equation*} P_a = D_p \, V_{\infty} = \frac{1}{2} \, \varrho_{\infty} \, V_{\infty}^{3} \, f_e \end{equation*}

Therefore, aerodynamic power increases with the cube of speed, while hydrodynamic and skirt-related drag contributions may vary nonlinearly with surface condition, cushion height, and sea state.

Because the drag buildup in a hovercraft comprises aerodynamic, cushion-flow, skirt-contact, and hydrodynamic components, its quantitative prediction is not an exact science. Significant installed-power margins are typically incorporated into hovercraft design, although they increase weight, cost, and fuel consumption. Conversely, underestimating the required installed power can seriously compromise the hovercraft’s ability to operate over the terrain, sea state, or payload range for which it was intended.

Check Your Understanding #3 – Estimating the propulsive power for a hovercraft

For the small hovercraft considered in the previous worked examples, estimate the thrust and power required to propel it over tall grass at a speed of 30 knots under MSL ISA conditions. Assume an equivalent parasitic drag area of 30 ft2, a skirt contact drag coefficient of 0.045, and a net propulsive efficiency of 0.7. Neglect the momentum drag component.

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Neglecting momentum drag and trim drag, the total drag on the vehicle equals the sum of the aerodynamic parasitic drag and the skirt-contact drag. The speed is

    \[ V_{\infty} = 30.0 \times 1.688 = 50.64~\mbox{ft s}^{-1} \]

The aerodynamic parasitic drag is

    \[ D_p = \frac{1}{2}\,\varrho_{\infty}\,V_{\infty}^2\,f_e = \frac{1}{2}(0.002378)(50.64)^2(30.0) = 91.47~\mbox{lb} \]

The skirt-contact drag is

    \[ D_{\rm sk} = C_{\rm sk} W = 0.045(4{,}000) = 180.0~\mbox{lb} \]

Therefore, the total drag is

    \[ D_{\rm total} = D_p + D_{\rm sk} = 91.47 + 180.0 = 271.47~\mbox{lb} \]

and the thrust required for steady motion is

    \[ T_{\rm req} = D_{\rm total} = 271.47~\mbox{lb} \]

The shaft power required to generate this thrust is

    \[ P_{\rm shaft} = \frac{D_{\rm total}\,V_{\infty}}{\eta_p} = \frac{271.47 \times 50.64}{0.7} = 1.96\times 10^4~\mbox{ft-lb s}^{-1} \]

or

    \[ P_{\rm shaft} = \frac{1.96\times 10^4}{550} = 35.7~\mbox{hp} \]

Therefore, this small hovercraft would require approximately 271 lb of propulsive thrust and 36 hp of shaft power to travel over tall grass at 30 knots under the stated assumptions.

Hovercraft Stability

The interaction among air-cushion pressure, vehicle geometry, skirt dynamics, weight distribution, and the response to external disturbances governs the stability of a hovercraft. The primary modes of motion relevant to stability analysis are heave, pitch, and roll. Stability in each mode depends on whether the resulting forces and moments act to restore the hovercraft to equilibrium following a disturbance.

A hovercraft has good positive static stability in pitch and roll, which naturally keeps it on an even keel.

Improved roll and pitch stability, as well as finer control, can be achieved by dividing the skirt and ground cushion into separate compartments, allowing the air pressure to be modulated for pitch and roll control. Proper weight distribution is also crucial; pilots must ensure that the vehicle is loaded within its defined weight-and-balance envelope. Some hovercraft may also be equipped with water ballast systems to adjust weight distribution. Hovercraft designed for maritime use must also exhibit good seakeeping qualities, especially when operating in waves.

Heave (Vertical) Stability

In the vertical direction, the hovercraft hovers when the cushion overpressure \Delta p = p_0 - p_a, acting over the effective cushion area A, generates a lift force equal to the vehicle’s weight, i.e.,

(47)   \begin{equation*} L = \Delta p \, A = M \, g \end{equation*}

To achieve static stability, the lift must decrease with upward displacement, ensuring that any vertical disturbance results in a net restoring force, i.e.,

(48)   \begin{equation*} \frac{dL}{dz} < 0 \end{equation*}

This goal is typically achieved by increasing air leakage as the hovercraft rises, thereby reducing the cushion pressure. Damping forces arising from skirt dynamics or airflow behavior will also oppose rapid vertical oscillations. The vertical equation of motion is then

(49)   \begin{equation*} M \, \overbigddot{z} = L - M \, g - D_z \end{equation*}

where D_z represents the vertical damping. A design goal is to provide the hovercraft with sufficient heave damping to ensure a smooth ride over most surfaces. To this end, the skirt design is critical for enabling controlled pressure relief and providing damping.

Pitch & Roll Stability

Pitch and roll stability arise from asymmetries in the cushion pressure distribution when the hovercraft tilts. The side of the cushion that moves closer to the ground has a smaller leakage gap, reducing the local air leakage and increasing the local cushion pressure and lift on that side. Conversely, the side that moves farther from the ground experiences increased leakage and reduced pressure. This imbalance generates a restoring moment that resists further tilting. The rotational dynamics are given by

(50)   \begin{equation*} I_y \,  \overbigddot{\theta} = M_\theta \ \text{(pitch)} \quad \text{and} \quad I_x \,  \overbigddot{\phi} = M_\phi \quad \ \text{(roll)} \end{equation*}

where I_y and I_x are the moments of inertia about the pitch and roll axes, respectively, and M_\theta and M_\phi are the corresponding restoring moments. Static stability requires these moments to oppose the motion, i.e.,

(51)   \begin{equation*} \frac{dM_\theta}{d\theta} < 0 \quad \text{and} \quad \frac{dM_\phi}{d\phi} < 0 \end{equation*}

A low and centrally located c.g. position improves resistance to tipping by minimizing destabilizing moments during pitch or roll. Additionally, the air cushion system must respond smoothly to changes in pressure distribution, such that any disturbance is met with restoring forces and moments. Together, these features contribute to the hovercraft’s ability to maintain a stable hover and consistent orientation during regular operation.

WIGE Vehicle Performance

Flight performance estimates for a WIGE vehicle follow the same fundamental principles as those for an airplane. However, in this case, the challenge lies in quantifying the additional aerodynamic effects arising from near-ground flow interactions. While various corrections can be applied, the most representative results are likely to be obtained from wind tunnel tests using scaled models. The diverse types and sizes (flight weights) of WIGE concepts, combined with sparse empirical data, make it challenging to rely on historical trends to establish specific design rules.

A critical issue to consider in predictions is that when a finite wing or lifting surface approaches the ground or another impervious surface, it experiences increased lift and reduced drag, resulting in improved overall aerodynamic efficiency. There are two causes of the increase in lift. The first source is the change in the flow field around a wing cross-section, which increases the lower-surface pressure and the effective angle of attack, sometimes referred to as the ram air effect. The other impact is caused by the laterally outward movement of the wing tip vortices, which manifests as an increase in the effective aspect ratio of the wing and, hence, a reduction in induced drag. The combined effect of the two factors is an increase in lift and a decrease in drag on the wing, thereby enhancing the wing’s lift-to-drag ratio and improving the vehicle’s aerodynamic efficiency. Some WIGE vehicles are estimated to have lift-to-drag ratios exceeding 20, which is high for relatively low-aspect-ratio vehicles intended to operate close to the water surface.

Ram Air Effect

The “ram air” effect refers to the modification of the pressure distribution beneath a wing when it flies close to an impervious surface. The restricted flow beneath the wing can increase the lower-surface static pressure and thereby augment lift, especially for low-aspect-ratio wings, wings with endplates, and wings using trailing-edge flaps. Additional aerodynamic benefits arise from proximity to the ground, which reduces downwash and induced drag. The primary effects are illustrated in Figure 29. These effects help enable a WIGE vehicle to maintain flight with improved aerodynamic efficiency, thereby reducing power requirements and fuel consumption.

A wing section operating within one chord length of the ground can experience a significant lift augmentation from the so-called “ram air” effect.

The ram air effect depends primarily on the trailing-edge height above the surface, often expressed by the dimensionless ratio \epsilon = h_{\rm TE}/c, where h_{\rm TE} is the trailing-edge height and c is the wing chord. A wing generally needs to operate within about one chord length of the surface to experience the strongest benefits. Full-span trailing-edge flaps can further reduce \epsilon, as observed on ekranoplans, thereby enhancing the ram-air effect.

Wing Aspect Ratio Effect

The aspect ratio effect for a wing operating in ground effect pertains to the increase in the effective aspect ratio of the wing from the presence of the ground. Wings with higher aspect ratios (longer and narrower) generally experience less induced drag and are more efficient. Wings with lower aspect ratios can experience a more significant improvement in lift and ground effect efficiency than wings with higher aspect ratios. However, the effects are pronounced for wings of all aspect ratios. The basic principle is illustrated in Figure 30, in which a ground or other impervious surface induces lateral outward movement of the wing-tip vortices, thereby increasing the effective aspect ratio of the wing.

A wing in the presence of an impervious surface experiences a modified trailing-vortex and downwash system, increasing the effective aspect ratio of the wing and reducing the induced drag.

The induced drag on a wing near a surface can be approximated by the equation

(52)   \begin{equation*} D_i = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 S \left( \phi \frac{{C_L}^2}{\pi \, AR \, e} \right) \end{equation*}

One equation to account for the benefits of the surface proximity is the aspect ratio correction factor or “\phi factor” as given by

(53)   \begin{equation*} \phi = \frac{16 \left( \dfrac{h}{b} \right)^2}{1 + 16 \left( \dfrac{h}{b} \right)^2} \end{equation*}

where h/b is the height-to-span ratio of the wing above the surface. Notice that \phi \rightarrow 1 as h/b increases, so the effects are only significant when the wing operates within one wing span. Therefore, the effective aspect ratio of the wing increases in proximity to the surface, as given by

(54)   \begin{equation*} AR_{\rm eff} = \frac{AR}{\phi} \end{equation*}

For small values of the dimensionless height parameter, another approximation for the correction factor is

(55)   \begin{equation*} \phi \approx \dfrac{3 \pi \epsilon}{2} \end{equation*}

where \epsilon may be defined as the ratio of the trailing-edge height above the surface to a representative wing dimension. This approximation is applicable only while \phi < 1; at larger heights, \phi approaches 1. These simple models are supported by the results in Figure 31, obtained in wind tunnels with wings, suggesting that surface effects become small when the wing height is of the order of one wingspan or more above the ground.

Line graph representing the measurements of the reduction in drag on a wing operating in ground effect.
Measurements of the reduction in drag on a wing operating in ground effect enable the determination of a semi-empirical equation (curve fit).

Thrust & Power Requirements

The drag buildup for a WIGE vehicle follows the same principles as that for an airplane once the vehicle is airborne. However, during the waterborne takeoff run, hydrodynamic drag must also be considered. This drag includes viscous resistance from the wetted hull area, pressure drag associated with the hull shape, spray drag, and wave-making resistance. These contributions may be represented as

(56)   \begin{equation*} D_{\rm hydro} = D_{\rm friction} + D_{\rm form} + D_{\rm spray} + D_{\rm wave} \end{equation*}

The hydrodynamic drag generally rises rapidly as the vehicle accelerates through the displacement regime and reaches a maximum near the “hump” speed, where wave-making resistance is especially important. Significant thrust is required to pass through this high-drag condition and allow the vehicle to rise onto the step. As aerodynamic lift increases, the hull rises farther out of the water, the wetted area decreases, and the hydrodynamic drag falls rapidly. Once airborne, the hydrodynamic drag disappears, as summarized in Figure 32.

Representative drag buildup for a WIGE vehicle involves both hydrodynamic and aerodynamic contributions.

When airborne, the aerodynamic drag is initially relatively high because of induced losses, then decreases to a minimum as airspeed increases. At higher speeds, parasitic drag becomes dominant, and the total aerodynamic drag rises again. The vehicle reaches its maximum steady speed when the aerodynamic drag equals the available thrust.

For steady-level flight, where thrust equals drag, then

(57)   \begin{equation*} T = D = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 S C_D = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 S \left( C_{D_{0}} + \phi \, k \, {C_L}^2 \right) \end{equation*}

where \phi is the ground effect parameter. The coefficient k is given by

(58)   \begin{equation*} k = \frac{1}{\pi \, AR \, e} \end{equation*}

where AR is the wing’s aspect ratio and {e} is Oswald’s efficiency factor. Because in steady flight L = W then

(59)   \begin{equation*} L = \frac{1}{2} \varrho_{\infty} \, V_{\infty}^2 \, S \, C_L = W \end{equation*}

where \varrho_{\infty} is the air density in which the aircraft is flying, S is the reference wing area, and C_L is the total wing lift coefficient (the assumption here is that the wings generate all of the lift). Notice that \varrho_{\infty} = \varrho_0 \, \sigma where the value of \sigma comes from the ISA model, i.e.,

(60)   \begin{equation*} L = W = \frac{1}{2} (\varrho_0 \, \sigma ) \, V_{\infty}^2 \, S \, C_L \end{equation*}

Rearranging this equation, the lift coefficient that needs to be produced on the wing for a given flight speed can be solved for, i.e.,

(61)   \begin{equation*} C_L = \frac{2 W}{(\varrho_0 \, \sigma) \, S \, V_{\infty}^2} \end{equation*}

Therefore, the drag becomes

(62)   \begin{equation*} D = \frac{1}{2} (\varrho_0 \, \sigma) \, V_{\infty}^2 \, S \, C_{D_{0}} + \frac{2 \phi \, k W^2}{(\varrho_0 \, \sigma) \, S \, V_{\infty}^2} \end{equation*}

and where the corresponding power required, P_{\rm req}, is given by

(63)   \begin{equation*} P_{\rm req}  = D \, V_{\infty} = \frac{1}{2} (\varrho_0 \, \sigma) \, V_{\infty}^3 \, S \, C_{D_{0}} + \frac{2 \phi \, k W^2}{(\varrho_0 \, \sigma) \, S \, V_{\infty}} \end{equation*}

The first term in this latter equation (the parasite or zero-lift power) becomes dominant at higher airspeeds, and the second term (the induced power) becomes more prominent at lower airspeeds. Of course, the exact quantitative relationships between power and airspeed depend on the vehicle’s detailed aerodynamics, engine characteristics, and overall propulsive and aerodynamic efficiencies. Treating all of a WIGE vehicle’s intricacies must be considered beyond the scope of this introductory exposition.

Limitations of WIGE Vehicles

Several significant limitations of WIGE vehicles must be noted, as with all GEVs. They are specifically designed to operate close to the surface, where the ground effect is most pronounced. Beyond this height, the ground effect quickly diminishes, and the vehicle’s efficiency decreases significantly. This issue can also limit the operational flexibility of WIGE vehicles compared to conventional airplanes, because most WIGE vehicles are optimized for operation over water or other broad, unobstructed surfaces rather than conventional airport operations.

Indeed, WIGE vehicles require large bodies of water or flat surfaces for takeoff and landing, thereby further restricting their operational envelope and increasing their vulnerability to weather conditions such as strong winds and high waves. High sea states, characterized by spray and large waves, can impose significant loads on the wings and fuselage. These loads can manifest as structural limitations during takeoff and landing, as with a hovercraft. Large quantities of water ingested into the engines can also cause surging and significantly increase the risk of power loss.

Despite these limitations, WIGE vehicles remain an intriguing class of flight vehicles because they occupy a useful niche between ships and conventional aircraft. They offer airplane-like speeds while retaining some of the payload and over-water operational advantages associated with marine vehicles. For missions such as maritime surveillance, coastal patrol, island-to-island transportation, and rapid movement across sheltered or moderately calm waters, their combination of speed, range, and low-altitude efficiency can be compelling. Their future is unlikely to lie in replacing conventional airplanes or ships, but rather in carefully selected missions where ground-effect operation provides a distinct operational advantage.

Summary & Closure

The hovercraft and the WIGE vehicle illustrate two distinct ways of exploiting surface proximity in practical vehicle design. For the hovercraft, the governing problem is the creation and maintenance of a pressurized cushion, including the fan power, cushion pressure, leakage flow, skirt clearance, and propulsion requirements needed to support and move the vehicle. For the WIGE vehicle, the governing problem is the aerodynamic benefit of flying close to the surface, where increased lift and reduced induced drag can improve efficiency but also impose strict limits on operating height, control margins, and the usable sea state.

The broader lesson is that ground effect is not merely a curiosity of low-altitude flight, but a usable aerodynamic mechanism that can be engineered into practical vehicles. Although GEVs remain specialized machines, their continued development reflects a persistent design opportunity: using surface proximity to reduce support power, improve efficiency, and expand the range of possible vehicle configurations. In that sense, hovercraft and WIGE vehicles remain important examples of how less conventional flight concepts can open useful niches between land vehicles, marine craft, and conventional airplanes.

5-Question Self-Assessment Quickquiz

For Further Thought or Discussion

  • Explain the main components of a hovercraft and how they contribute to its operation.
  • What are the two main principles of lift generation in a hovercraft?
  • Discuss the advantages and disadvantages of using a skirt system in hovercraft design.
  • Describe the challenges involved in maneuvering and controlling a hovercraft.
  • How do hovercraft handle different surface conditions, such as rough water or uneven terrain?
  • Explain the advantages of hovercraft compared to boats and terrestrial vehicles, such as for search and rescue and military operations.
  • Regarding the aviation and maritime spectrum, what might be the advantages and limitations of using WIGE vehicles compared to traditional aircraft and boats?
  • Discuss the challenges of controlling and maneuvering WIG vehicles during takeoffs, turns, and landings.
  • Explain the potential role of WIG vehicles for maritime patrol, coastal surveillance, and transportation.

Other Useful Online Resources

For additional resources on ground effect vehicles, follow up on some of these online resources:

  • Find out more about hovercraft at the Hovercraft Museum.
  • What happened to the giant hovercraft?
  • Hovercraft – The ultimate frictionless amphibious machine.
  • The Top 15 Awesome Hovercraft.
  • SRN4 Hovercraft: UK British Transport History. Video
  • A UK passenger hovercraft from Calais, France, to Dover, England. Hoverspeed.
  • Why have most hovercraft disappeared? Video.
  • U.S. Navy’s amphibious hovercraft LCAC. Video.
  • This vehicle looks like an airplane, has a car’s engine, and docks like a boat. Video.

 

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Introduction to Aerospace Flight Vehicles Copyright © 2022–2026 by J. Gordon Leishman is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, except where otherwise noted.

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