Page 187 - 48Fundamentals of Compressible Fluid Mechanics

9.4. THE WORKING EQUATIONS
149

SQ
QUQ
Q

The temperature is b Q^S Q VS Q0S Q Q^S IUI %
Q0S
( I(V (/3

V3 (
L
b
b
I-V S%

V Q
Q
H
L H
With the temperature the speed of sound can be calculated as
L
#
b L H Q0S
(
b
I(V S%
S V 1G
The pressure at point 1 can be calculated as
F L H
G H

# #
IUS V %!(

b
b

b H QS Q (
Q % I K
QS
b
H

The density as a function of other properties at point 1 is

#

F

b % S I
I(Q W
I
S
H

The mass flow rate can be evaluated from equation (9.2) F
H

#

cb #
(

I-V S%
L %(

V
#
(b) First, a check weather the flow is shockless by comparing the flow resistance
#
# #
QS Q
and the maximum possible resistance. From the table or by using the attached
H I
S (

S V H Q0S 3
1G
7
program , obtain the flowing

]

QS

and the conditions of the tube are V S I
S Q Q^S ] QS V

SQ
QUQ
Q I3 Q^S I%
V3 Q I% I
S 3 V Q %(
QS Q
Q
W`XaZ [
H

# #
Since QS % I3 the flow is chocked and with a shock wave.
V
H Q0S %
7 Q0S
Q0S Q