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# drag

Figure 1. Form or pressure drag is caused by the separation of air that is flowing over the aircraft or airfoil. Credit: Civil Air Patrol.

Figure 2. The leading edge of a wing will always produce a certain amount of friction drag. Credit: Civil Air Patrol.

Figure 3. Induced drag is a by-product of lift. Credit: Civil Air Patrol.

Figure 4. Drag coefficients of various bodies. Credit: NASA.

Drag is the resistance to motion through a fluid. As applied to aircraft and spacecraft passing through the atmosphere, it is the component of the resultant force due to relative airflow measured parallel to the direction of motion. It is directly opposed to thrust. Lift is one of the four forces of flight acting on an airplane, the others being weight, thrust, and lift.

## Theory of drag

Drag is generated by nine conditions associated with the motion of air particles over an aircraft. There are several types of drag – form, pressure, skin friction, parasite, induced, and wave – which are described below.

### Separation

The term 'separation' refers to change from the smooth flow of air as it closely hugs the surface of a wing to where it suddenly breaks free of the surface, creating a chaotic flow. The picture to the right shows examples of air flowing past a variety of objects. The bottom shows well behaved, laminar flow (flow in layers) where the flow stays attached (close to the surface) of the object. The object just above has a laminar flow for the first half of the object and then the flow begins to separate from the surface and form many chaotic tiny vortex flows called vortices. The two objects just above them have a large region of separated flow. The greater the region of separated flow, the greater the drag. This is why airplane designers go to such effort to streamline wings and tails and fuselages – to minimize drag.

### Form and pressure drag

Form drag and pressure drag (see Figure 1) are virtually the same type of drag. Form or pressure drag is caused by the air that is flowing over the aircraft or airfoil. The separation of air creates turbulence and results in pockets of low and high pressure that leave a wake behind the airplane or airfoil (thus the name pressure drag). This opposes forward motion and is a component of the total drag. Since this drag is due to the shape, or form of the aircraft, it is also called form drag. Streamlining the aircraft will reduce form drag, and parts of an aircraft that do not lend themselves to streamlining are enclosed in covers called fairings, or a cowling for an engine, that have a streamlined shape. Airplane components that produce form drag include (1) the wing and wing flaps, (2) the fuselage, (3) tail surfaces, (4) nacelles, (5) landing gear, (6) wing tanks and external stores, and (7) engines.

### Skin friction drag

Skin friction drag (see Figure 2) is caused by the actual contact of the air particles against the surface of the aircraft. This is the same as the friction between any two objects or substances. Because skin friction drag is an interaction between a solid (the airplane surface) and a gas (the air), the magnitude of skin friction drag depends on the properties of both the solid and the gas. For the solid airplane, skin friction drag can be reduced, and airspeed can be increased somewhat, by keeping an aircraft's surface highly polished and clean. For the gas, the magnitude of the drag depends on the viscosity of the air. Along the solid surface of the airplane, a boundary layer of low energy flow is generated. The magnitude of the skin friction depends on the state of this flow.

### Parasite drag

Parasite drag is simply the mathematical sum of form drag and skin friction drag:

parasite drag = form drag + skin friction drag

### Induced drag

Induced drag (see Figure 3). is the drag created by the vortices at the tip of an aircraft's wing. Induced drag is the drag due to lift. The high pressure underneath the wing causes the airflow at the tips of the wings to curl around from bottom to top in a circular motion. This results in a trailing vortex. Induced drag increases in direct proportion to increases in the angle of attack. The circular motion creates a change in the angle of attack near the wing tip which causes an increase in drag. The greater the angle of attack up to the critical angle (where a stall takes place), the greater the amount of lift developed and the greater the induced drag.

### Total drag at subsonic speeds

All of these types of drag must be accounted for when determining drag for subsonic flight. The total drag is the sum of parasite and induced drag.

total drag = parasite drag + induced drag

But the net (or total) drag of an aircraft is not simply the sum of the drag of its components. When the components are combined into a complete aircraft, one component can affect the air flowing around and over the airplane, and hence, the drag of one component can affect the drag associated with another component. These effects are called interference effects, and the change in the sum of the component drags is called interference drag. Thus,

(drag)1+2 = (drag)1 + (drag)2 + (drag)interference

Generally, interference drag will add to the component drags but in a few cases, for example, adding tip tanks to a wing, total drag will be less than the sum of the two component drags because of the reduction of induced drag.

Interference drag can be minimized by proper fairing and filleting, which induces smooth mixing of air past the components. No adequate theoretical method will predict interference drag; thus, wind tunnel or flight-test measurements are required. For rough computational purposes, a figure of 5 percent to 10 percent can be attributed to interference drag on a total aircraft.

Small items also add to the total aircraft drag and, although seemingly trivial, they can greatly reduce the aircraft's top speed.

Although prediction of drag and wind tunnel drag measurements of models yield good results, final drag evaluation must be obtained by flight tests.

The airplane's total drag determines the amount of thrust required at a given airspeed. Thrust must equal drag in steady flight.

Lift and drag vary directly with the density of the air. As air density increases, lift and drag increase and as air density decreases, lift and drag decrease. Thus, both lift and drag will decrease at higher altitudes.

The equation used to calculate drag is:

d = ½ρV2SCd

Where ρ is the density of the air, V is the velocity of the air (air speed), S is the cross-sectional area of the object, and CD is the drag coefficient. All of these quantities, except Cd, are directly measurable in a wind tunnel. Thus Cd, a dimensionless number, can be thought of as a 'fudge factor' that accounts for all of the aerodynamic peculiarities of a shape (see Figure 4).

### Wave drag and supersonic flight

Wave drag occurs in supersonic flight, or flight above the speed of sound. Wave drag is a form of pressure drag. When an aircraft breaks the speed of sound, a shock wave is created. A shock wave is a strong pressure wave that creates a violent change in pressure. High pressure pushes on the front of the aircraft. This results in a large pressure drag toward the rear of the aircraft like that produced with form or pressure drag in subsonic flight.