Page 109 - 48Fundamentals of Compressible Fluid Mechanics
P. 109
4.7. THE EFFECTS OF REAL GASES 71
e (4.134)
and for
The mass flow rate as function of the Mach number is
(4.135)
the mass flow rate is
For the case of
e
(4.136)
Example 4.7:
A design is required that at specific point the Mach number should be
3 ,
.
i. Calculate area ratio between the point and the throat.
, and temperature
ii. The stagnation pressure and the stagnation temperature.
the pressure
iii. Is the stagnation pressure and temperature at the entrance are different from
.
SOLUTION
the point? You can assume that
1. The solution is simplified by using Potto-GDC for
3 the results are
3
( (/3
2. The stagnation pressure is obtained from
'33
'33
3
The stagnation temperature is
%
(
%
3. Of course, the stagnation pressure is constant for isentropic flow.
(