Page 182 - 48Fundamentals of Compressible Fluid Mechanics

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)

%

"