Page 217 - 48Fundamentals of Compressible Fluid Mechanics

10.2. GOVERNING EQUATION 179

The exit stagnation temperature is

U T
G B I @

"- ),+9
The heat release becomes

) "

) "
)19
The maximum temperature occurs at the point the Mach number reach
)0 $
E
E

and at this point

I

)( &

4

5
6 :
5
8
7 8
7
6
8
"
"=),"90"
"0 1+
9 9
+
9-)
The maximum heat before the temperature can be calculated as following:
7 :
5 :
5
:
78 :

"0 -+
?PO

?PO

N
)
N

4
5
6
5
6 8
" "
) +
9 9
=)09
The stagnation temperature for this point is + "0+1+9 7 8 7 + : 7 8 7 9

8

?PO

The maximum heat can be calculated as )
#%'&
)09
?PO
N
N
91 9

#%'&

I

Note that this point isn’t the choking point. 91 9 E )19 90 $
#% &
E

Example 10.2:

& (
Heat is added to the air until the flow is choked in amount of 600 [kJ/kg]. The exit
temperature is 1000 [K]. Calculated the entrance temperature and the entrance
Mach number.
SOLUTION
The solution involve finding the stagnation temperature at the exit and subtraction