Page 215 - 48Fundamentals of Compressible Fluid Mechanics

10.2. GOVERNING EQUATION 177
Table 10.1: ?? (continue) 1 "9 7 8 : " " " " +-+) +=)09 +- 1+

4
5
5
6 :
7
8
7 8
5
7 :
6
9
+-+1+1+=)
9-919-90+
9
" "-) "
9-9 1+
)

+1+1"
+
), )
9 1+

:
8
5 :
+)&"1+
9 "0"=)
-"1"
+

)09
90 "1+
)

"-) "
9 "

9 9
"
9 "

+-
9 + )
"
"1+ "

9 " 1

9 +-
+ 9
1"1 -
"
9
" "9
) 9
+-"
"
"
" ")0"
9 "1
-90+9

+-"
"
" 9
9 - -9
" 9

9
+-"-9
9 ) "
"0 1"=)&"
) "
"
+-"1"

"
) "
+-"1
"0
"
9

)

) "
" "-90"
"19
+-"
"-)
" )

" " "
"
9

)

9
" 1"

"

"
9
" +1+
9
+
-9
"1+
)
" 9
+1 -+
)
9
+

)
)
"=)
+
90+=)
" )
919

)
+
+
" "0
+

9
)
" "
+-"-9
+-9
+
)
"
+
9
-9
+
)
)
The Figure is presented in figure 10.3. 1 + ) )0+ + + 9 9 ) "

)
+

Illustrative example

" 9
)
The typical questions that raised in Rayleigh Flow are related to the maxi-

)
mum heat that can be transfered to gas (reaction heat) and to flow rate.
Example 10.1:
at Mach number
of "19 . Due internal combustion heat was released and the exit temperature
Air enters a pipe with pressure of , and temperature of ")
. Calculated the exit Mach number, the exit pressure, the

total exit pressure, and heat released (transfered) to the air. After what amount of
was found to be "-)

energy the exit temperature will start to decrease? Assume

SOLUTION
The entrance Mach number and the exit temperature are given and from the Table
10.1 or from the program the initial ratio can be calculated. From the initial values
the ratio at the exit can be computed as following.