DiscoverHover CURRICULUM GUIDE #15
PRESSURE AND LIFT

© 2005 World Hovercraft Organization

NAME DATE

Lift air, like other gases, is considered to be a fluid because it takes the shape of the container surrounding it. In the case of a hovercraft, the air takes the shape of the bottom of the hovercraft, the inside edges of the skirt, and the surface beneath the hovercraft. The fan that blows air under the bottom of the hovercraft keeps pushing more and more air below the hovercraft, thus increasing the pressure in the air cushion. The pressurized air cushion exerts a force on its container (the bottom of the hovercraft, the skirt, and the surface the hovercraft is resting on). When the force this pressurized air exerts on the surface grows to equal the weight of the hovercraft, it becomes buoyant (like a boat in water) and begins to float on air.

When a hovercraft hovers, it will lift as high as the skirt’s designed shape will permit. Lift air begins to escape through the gap between the bottom of the skirt and the surface beneath. In order to maintain consistent pressure inside the air cushion, the gap will be large enough to keep the amount of air that escapes equal to the amount of air pushed in by the fan. This air gap between the skirt bottom and the surface, referred to as daylight clearance, ordiarily measures between 0 and 12.7mm [1/2 inch].


Figure 15-1: Air gap or daylight clearance in a hovercraft.
Image ©2005 DiscoverHover

Pressure is defined as the force exerted on a surface per unit area of the surface.

Pressure = Force / Area

P = F / A

In order to calculate the lift force of a hovercraft, we solve this equation for the force:

F = P × A

The lift force, therefore, is the air pressure inside the air cushion multiplied by the area enclosed by the hovercraft skirts.

Example 1:
A typical pressure inside the air cushion of a DiscoverHover One hovercraft is approximately 335 N/m2 [7 lb/ft2]. If the hovercraft is 3 m [9.84 ft] long and 1.5 m [4.92 ft] wide, what is the total lift force produced by the DiscoverHover One?

Solution:
First we must calculate the area of the hovercraft by multiplying its length times its width.

Area = Length × Width
Area = 3 m [9.84 f] long × 1.5 m [4.92 ft]
Area = 4.5 m2 [48.41 ft2]

Now we can find the lift force by multiplying the pressure times the area.

Lift force = Pressure × Area
Lift force = 335 N/m2 [7 lb/ft2] × 4.5 m2 [48.41 ft2]
Lift force = 1508 N [338.8 lb]

The DiscoverHover One hovercraft produces 1508 N [338.8 lb] of lift force and will therefore be able to support up to 1508 N [338.8 lb] of total weight and still hover. This means if the actual hovercraft weighed 450 N [101.2 lb], then it could carry 1058 N [237.6 lb] of people and cargo.

Example 2:

The pressure inside the air cushion of a DiscoverHover One hovercraft is 335 Pa [7 lb/ft2] when its volume is 2.24 m3 [79.28 ft3] at the temperature of 300 K [80 °F]. The height of the air cushion is 0.3 m [0.98 ft] from the bottom of the skirt. Assume that the air cushion is a closed system (even though the skirt of the hovercraft is open from the bottom) in the shape of a rectangular box and the surface area remains constant. What is the weight of the hovercraft? Assuming the air inside the air cushion behaves like an ideal gas, what is the volume of the air cushion if the pressure drops to 240 Pa [5.01 lb/ft2] at 300 K [80 °F]?

Solution:
First we must calculate the area of the hovercraft. This is done by dividing the volume by the height of the cushion. The area of the rectangular box air cushion is 7.47 m2 [80.9 ft2]. The weight W of the hovercraft is equal to the cushion pressure multiplied by the area of the cushion:

W = P × A
W = 335 Pa [7 lb/ft2] × 7.47 m2 [80.9 ft2]
W = 2502 N [566.3 lb]

Now, since the air inside the cushion behaves like an ideal gas, we can use Boyle’s Law to determine the volume at 335 Pa [7 lb/ft2].

From Boyle’s Law we know:

P = C / V

We can calculate the value of C at 300 K [80 °F].

C = P × V
C = 335 Pa [7 lb/ft2] × 2.24 m3 [79.28 ft3]
C = 750.4 N-m [555 lb-ft]

At 300 K [80 °F] the volume of the air cushion can be given by Boyle’s law stated above, using the new pressure and the constant C we just calculated:

V = C / P
V = 750.4 N-m [555 lb-ft] / 240 Pa [5.01 lb/ft2]
V = 3.13 m3 [111 ft3]

The new volume of the cushion would be 3.13 m3 [111 ft3].

In the case of hovercraft, there are two forms of pressure that can be measured: static pressure and dynamic pressure. Static pressure is the pressure of a stationary region of air, while dynamic pressure is the pressure of air that is in motion. Static pressure is what lifts the hovercraft. If you measure the pressure of the lift air cushion by placing a manometer (a device that measures pressure) just under the skirt, you will obtain a different value than if you were to measure the pressure further inside the cushion. This is because the air is moving rapidly out of the bottom of the skirt, so you could be measuring dynamic and static pressure at the same time. At the cushion center, the lift air is more static.

The DiscoverHover One hovercraft is an integrated hovercraft, which means that only one propeller is used to provide both lift and thrust air. Some hovercraft designs have separate lift and thrust systems. The sole purpose of the fan is to maintain the pressure inside the air cushion under the hovercraft. A multi-bladed fan is used for lift because it pumps pressure more efficiently than a propeller with only two blades. A separate propeller mounted on the back of the hovercraft is responsible for driving the hovercraft forward.

(a) Integrated type (b) Separate lift and thrust

Figure 15-2: Different lift and thrust systems
>Images ©2005 DiscoverHover

In an integrated hovercraft, the lift air is divided by a splitter, which is usually located at the bottom of the thrust duct, as shown in Figure 15-3a. Located directly behind the propeller, the splitter directs a portion (usually 1/3) of the propeller's total air supply down into the air cushion, which maintains pressure inside the cushion. The rest of the air is forced behind the hovercraft, propelling the hovercraft forward. A diagram of the various paths the intake air travels in an integrated type of hovercraft is shown below.


(a) Duct and splitter


(b) Flow of air in an integrated design

Figure 15-3: Basic working mechanism of a hovercraft
Image ©2005 Neoteric Hovercraft, Inc. (Courtesy www.neoterichovercraft.com)

Quiz Questions:

  1. Assume the air cushion is a closed system (even though the skirt is actually open at the bottom).  The air inside the cushion of a DiscoverHover One hovercraft expands to two times its initial volume without changing the temperature or number of molecules. Assuming the air inside the cushion behaves like an ideal gas, what is the pressure after the expansion?

 
 
©2005 World Hovercraft Organization
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