student handout 26 2014
TRANSCRIPT
-
6479,::0)3,F6>,?(473,:6-*6479,::0)3,F6>
CHEE 3363Spring 2014Handout 26
Fox: 13.1--13.2
1
-
,(9505.6)1,*;0=,:-693,*;:>0;//,(;,?*/(5.,C#(@3,0./D
2
-
(:0*,8
65;05
-
(:0*,82
4
09:;3(>6-;/,946+@5(40*:
Q Ws Wshear Wother =
t
CV
e dV +
CS
(u+ pv +v2
2+ gz)v dA
:;,(+@
5,.3,*;/,0./;*/(5.,:56>692+65,65:@:;,4
Q =
(u1 + p1v1 +
v21
2
)(1V1A1) +
(u2 + p2v2 +
v22
2
)(2V2A2)
Q = m
[(h2 +
v22
2
)
(h1 +
v21
2
)]
Q
dm=
1
mQ Q
dm+ h1 +
v21
2= h2 +
v22
2
h0 h+v2
2
-
(:0*,8
5
t
CV
s dV +
CS
sv dA
CS
1
T
(Q
A
)dA
s1(1V1A1) + s2(2V2A2)
CS
1
T
(Q
A
)dA
$,*65+3(>6-;/,946+@5(40*:
- (:0*,848
-
%/9,,:7,*0(3*(:,:
7
1. #!!
2. 90*;065(3(+0()(;0*F6>:C(556305,F6>D
90*;065(3F6>:>0;//,(;,?*/(5.,C#(3,0./305,F6>D
- :,5;9670*F6>>0;/(9,(=(90(;065 !%#56/,(;;9(5:-,956-90*;065Rx0:565A,96)
-
Av = constant
dp/d = c2
3;,95(;,>(@-69>(9+ (*/5
-
Type of flow Type of nozzle dA dp dv
Subsonic M < 1
Converging (subsonic nozzle)
Diverging (subsonic diffuser)
Supersonic M > 1
Converging (supersonic diffuser)
Diverging (supersonic nozzle)
Sonic M = 1
Only at throat (minimum area)
1
[1M2]
0
:,5;9670*F6>:)@ (*/5
-
p0
p=
[k + 1
2
]k/(k1)
T0
T =
k + 1
2
0
=
[k + 1
2
]1/(k1)
v = c =
2k
k + 1RT0
#,-,9,5*,*65+0;065:-690:,5;9670*F6>Stagnation conditions*65:;(5;;/96p0T00Sonic (critical) conditionsMp*T*
!6;,*(59,3(;,;/,:;(.5(;065*65+0;065:;6*90;0*(3*65+0;065:=0(
"967,9;@9,3(;065:/07:),;>,,5;/,:,9,-,9,5*,:;(;,:(5+;/,36*(3 (*/5
-
?(473,0:,5;9670*7(::(.,F6>
12
Given(;(7(9;0*
-
?(473,0:,5;9670*7(::(.,F6>
Given(;(7(9;0*
-
1 pb/p0 p/p0pb/p0 p/p0
/62,+F6>05*65=,9.05.56AA3,:%/,653@>(@;6.,;M0:;6/(=,dA;/(;0:(;(36*(3405046** pb
-69(092
-
?(473,F6>05*65=,9.05.56AA3,
15
Given(09F6>:0:,5;9670*(33@;/96/,9,79,::0:56;*/62,+:6*(3*
-
?(473,F6>05*65=,9.05.56AA3,
16
$63=,0:,5;9670*9,3(;065:;6.,;:;(.5(;065;,47,9(;
-
?(473,F6>05*65=,9.05.56AA3,
17
(3*
-
?(473,*/62,+F6>
18
Given(09F6>:0:,5;9670*(33@-9643(9.,;(52;/96
-
?(473,*/62,+F6>
19
Given(09F6>:0:,5;9670*(33@-9643(9.,;(52;/96