Page 218 - 48Fundamentals of Compressible Fluid Mechanics

180 CHAPTER 10. RAYLEIGH FLOW

of the heat (heat equation) to obtain the entrance stagnation temperature. From
the table the ratio or from the pogrom the following can be obtained.

4
5
7
7
5
7 8
+ 1"

The stagnation temperature 6 9 "1 "0 9 "1 "1

68
: 7 8
8

The entrance temperature is

"

+ 9 +
It must be noted that . Therefore with
9 + either by table or the

E
E

program 4

"
:
"
5
5
6 :
7 8
8
7
5
5 :
7 :
+ "
90 +
"- 1
9 +
"0"
9
-
Thus entrance Mach number is 0.38454 and the entrance temperature can
8
be calculated as following
7 8 :
6

:

90 +

The difference between the supersonic branch to subsonic branch

Example 10.3:

+
91

Air with Mach 3 enters a frictionless duct with heating. What is the maximum heat
that can be add so there is no subsonic flow. If a shock is occurs immediately at
the entrance what is the maximum heat that can be added?
SOLUTION
.

I I
To achieve maximum heat transfer the exit Mach number has to be one,
The table for as following E % E *