Page 134 - 48Fundamentals of Compressible Fluid Mechanics
P. 134
96 CHAPTER 5. NORMAL SHOCK
The fluid velocity in zone 2 is the same
(5.72)
From the mass conservation, it follows that
(5.73)
(5.74)
%
%
%
After some rearrangement equation (5.74) %
,
(5.75)
%
%
On the isentropic side, on zone 4, taking the derivative of the continuity
%
equation,
and diving by continuity equation results in
%
(5.76)
) yields
Since the process in zone 4 is isentropic, applying the isentropic relationship (
%
(5.77)
From equation (5.76) it follows that
,
(5.78)
Equation (5.78) can be integrated as
(5.79)
The results of the integration are #
#
(5.80)
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