Page 182 - 48Fundamentals of Compressible Fluid Mechanics
P. 182
144 CHAPTER 9. FANNO FLOW
The symbol “*” denotes the state when the flow is choked and Mach number is
Equation (9.39) can be integrated to yield:
(9.40)
equal to 1. Thus,
when
%
In the same fashion the variables ratio can be obtained
%
(9.41)
%
%
(9.42)
%
%
(9.43)
%
The stagnation pressure decreases can be expressed by
%
(9.44)
Utilizing the pressure ratio in equation (9.40) and substituting into equation (9.44)
yields
(9.45)
%
%
%
%
And further rearranging equation (9.45) provides
"
(9.46)
%
%
The integration of equation (9.34) yields "
(9.47)
%
"