
Supersonic Aerodynamics
So far, we've only discussed aerodynamic concepts in subsonic flight. Once
the speed of sound is exceeded, there are all new types of phenomena to
explore. For example, you can't hear a plane traveling at supersonic speed
until it's passed you by.
The "Sonic Barrier"
Early planes designed to travel faster than the speed of sound mostly
ended in tragedy. Because of this fact, engineers believed that airplanes
could not travel faster than the speed of sound due to a wall of wind that
prevented such flight. Now supersonic flight has become more mainstream,
we even have supersonic transoceanic flights. Lets take a look at some of
the phenomena that occur when a plane travels faster than the speed of
sound.
Shock Waves and Wave Drag
Any body moving through a fluid creates pressure disturbances, since the
air has to move so that a body can pass through. Sound itself is a
pressure disturbance. At subsonic speeds, the pressure disturbances are
capable of moving faster than the plane is. You can think of it this way.
The air that is being displaced can travel faster than the plane in all
directions, including out in front of it. However, as the plane reaches
mach numbers greater than one, the plane's velocity exceeds that of the
pressure disturbances, and the high pressure air packs up at the nose and
creates drag for the plane. This is known as wave drag, also when shock
waves are generated.
Two shock waves form at the nose and the end of the plane. Each
shock wave forms a cone shape with
the tip at the origin of the air displacement. These cones of abnormal
pressure air travel downwards and backwards in relation to the plane. Air
at the nose of the plane is being pushed and shoved away. At the tail, the
plane is quickly moving away, faster than the air can replace the void.
This creates a situation where the air pressure at the nose is high, and
the air pressure at the tail is low. This does two things:
- Creates two shock waves
- Creates drag
The drag being produced is simply because there is a buildup of high
pressure air at the nose of the plane much like the bow wave of a moving
boat. In addition, the low pressure region behind the plane exerts a
pulling force on the flying aircraft. This type of drag is considerably
strong, therefore very powerful engines are needed to sustain supersonic
flight.
Mach Numbers
First of all, at room temperature at sea level, speed of sound is about
760 miles per hour or 1220 kilometers per hour. It's an incredible
engineering feat that planes can travel faster then that. However, the
speed of sound in air varies depending on altitude and temperature. The
speeds of supersonic planes are measured in mach numbers, which is easily
calculated by dividing the plane's airspeed by the local sonic speed.
Since each day can have a different temperature and different planes fly
at different altitudes, the speed of the plane is
calculated in reference to the speed of sound at the current altitude and
temperature.
Sonic Booms
Remember that these shock waves travel in a conical geometry at the speed
of sound. The circular edges of these shock waves are where the audible
sonic booms occur. Some sonic booms are strong enough to structurally
damage buildings and shatter panes of glass. The intensity of the sonic
booms all depend on four things:
- Speed of the aircraft
- Size of the aircraft
- Altitude of the aircraft
- Shape of the aircraft
The pressure difference created by a faster plane is greater because air
is being displaced with greater force and frequency. A louder sonic boom
is attributed to a greater difference in pressure.
The larger the plane, the more air it needs to displace. It is because of
this that larger planes create louder sonic booms. Intuitively, the sonic
booms at each of the shock waves can be heard on the ground at different
times. However, most airplanes are short enough that both shock waves
arrive at approximately the same time, so that it sounds like one sonic
boom. Only with very large aircraft, like the Space Shuttle at re-entry,
can you hear two distinct sonic booms.
As you move further away from the source of a sound, its intensity becomes
weaker. It is no different with sonic booms. Therefore, the higher a
supersonic aircraft is, the less intense its sonic booms are at sea level.
If you’ve ever seen a Concorde, its nose is very sharp compared with other
subsonic planes. The reason for this sharp nose is to decrease the
intensity of the sonic boom created at the nose of the plane. If the nose
were blunt, more high pressure air would gather at the nose and the shock
waves would be accordingly stronger.
Reducing Supersonic Inefficiency
Stronger shock waves produce more wave drag for an airplane. In order to
lessen the buildup of pressurized air at the nose, engineers create
supersonic craft with sharp noses. The fuselage is also thinned out so
that the cross-sectional area literally ripping through the air is not as
large. According to the Area Rule, the cross-sectional area along the
fuselage must be the same, if it is to minimize the amount of
counterproductive forces. If the cross-sectional area changed often, every time
the cross-sectional area increased and decreased, there would be that much more
wave drag and shock waves.
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