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36 PERFORMANCE, STABIL17Y, DYNAMICS, AND CONTROL
Fig. 1.37 Zone of action and zone ofsilence.
the Mach wedge (two-dimensional flow) or the Mach cone (three-dimensional
flow), obtained by drawing a tangent to the circles representing the propagation of
pressure pulses. The zone inside the Mach cone (or wedge) is called the zone of
action, and that outside the Mach cone (or wedge) is called the zone of silence.
An interesting example of the zone of silence and the zone of action is the flight
of a supersonic aircraft past an observer stationed on the ground. The observer
looking at the aircraft will not hear any sound emitted by the aircraft until the
aircraft flies past and the observer comes within the Mach cone as schematically
shown in F,gT1.37. If this aircraft were subsonic, the observer would have heard
the sound long before the aircraft flies past him.
The semi-included angle of the Mach cone is called the Mach angle U and is
given by
siny = U
1
:= N
M
1.10 Aerodynamic Forces in Supersonic Flow
(1.53)
(1.54)
In supersonic flow, fiuid particles are not aware of the existence of the body
downstream because this information is confined only to that region that is within
the Mach cone of the body. Therefore, a fluid particle comes to know of the
existence of the body only when it stnikes it abruptly and comes within its Mach
REVIEW OF BASIC AERODYNAMIC PRINCIPLES 37
a) Subsonic flow
Attachd Shock Wavc
-" ~:::-
M_ ~
b) Supersoruc flow over a sharp leading-edge body
--t
M
>
~
c) Supersonic flow over a bluntleading-edge body
Fig.138 High-speed flow over streamlined bodies.
cone. As a result a fiuid particle cannot adjustitself to flow smoothly over the body
as it would ha've done if the flow were subsonic.ln subsonic flow, the streamlines
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