fluid_mechanics

References 639
A
Isentropic flow
A* 1 Ma e 1 31k 12 24Ma 2
1 31k 1224
(11.71)
1 11 Ma 2 2
Fanno flow k 1 31k 1224Ma 2 f 1/* /2
ln e
(11.98)
k Ma 2 2
f
2k 1 31k 1224Ma D
T
Fanno flow (11.101)
T *
1k 122
1 31k 1224Ma 2
V
Fanno flow (11.103)
V* e 31k 1224Ma 2 12
1 31k 1224Ma f 2
p
Fanno flow (11.107)
p* 1 Ma e 1k 122 12
1 31k 1224Ma f 2
Fanno flow 1 (11.109)
p* 0 Ma ca 2
k 1 b a1 k 1 31k1221k124
Ma 2 bd
2
p
Rayleigh flow
1 k
(11.123)
p a 1 kMa 2
T 11 k2Ma 2
Rayleigh flow c (11.128)
T a 1 kMa d 2
r a
Rayleigh flow (11.129)
r V 11 k2Ma
Ma c
V a 1 kMa d 2
Rayleigh flow
p 0
21k 12Ma 2 a1 k 1 Ma 2 b
T 0
2
T 0,a 11 kMa 2 2 2
(11.131)
p 0
11 k2
Rayleigh flow
(11.133)
p 0,a 11 kMa 2 2 ca 2
k 1 b a1 k 1 k1k12
Ma 2 bd
2
Normal shock Ma 2 y Ma x 2 321k 124
(11.149)
32k1k 124Ma 2 x 1
p y
Normal shock
2k
(11.150)
p x k 1 Ma x 2 k 1
k 1
T y
Normal shock 51 31k 12 24Ma 2 x 6532k1k 124Ma 2 x 16
(11.151)
T x 51k 12 2 2
321k 1246Ma x
r y
1k12 321k124
f
Normal shock V x
1k 12Ma x 2
(11.154)
r x V y 1k 12Ma 2 x 2
p
a k 1 Ma 2
0,y 2 x b
k1k12a1 k 1 k11k2
Ma 2
2 x b
Normal shock
(11.156)
p 0,x
a
2k
k 1 Ma x 2 k 1 11k12
k 1 b
References
1. Coles, D., “Channel Flow of a Compressible Fluid,” Summary description of film in Illustrated Experiments
in Fluid Mechanics, The NCFMF Book of Film Notes, MIT Press, Cambridge, Mass., 1972.
2. Moran, M. J., and Shapiro, H. N., Fundamentals of Engineering Thermodynamics, 6th Ed., Wiley,
New York, 2008.