mi 303 03 nozzles
TRANSCRIPT
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RAVI KUMARProfessor
Department of Mechanical & Industrial Engineering
NOZZLES & DIFFUSERS
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( )
C dC
AdA
C dC
AdA
C dC
AdA
AC
AC v
AC m
−=≥=+
=++
=
===
0
fluidibleincompressforzeroisd
0d
0d
constant
ρ
ρ
ρ
ρ
ρ
ρ
( )
V dV
AdA
V dV
AdA
d V
dV
A
dAd
AV
AV
v
AV m
−=+
=
=++
=
===
flowibleincompressfor0
0
0d
constant
ρ
ρ
ρ
ρ
ρ
ρ
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( )
( )
( )
( ) ( )21212
1
21212
21
21
22
21
22
12
1
21
12
22
2
72.442
0VIf 2
22
220
22
hhhhV
V hhV
V hh
V
V V hh
gZ V
hgZ V
hwq
−=−=
=
+−=
+−=
−+−=
++−++=−
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( )( )
−=
−=−=
−=
−
γ
γ 1
1
212
1
21212
212
12
122
2
p p
T cV
T
T T cT T cV
hhV
p
p p
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( )
( )
T
dwds
wvdpV V
dwvdpV
d
vdp pdvu
vdp pdvudhV
d
hhV
f
f
p
p
f
=
−−=
−
−−=
−+−=
−−−=−=
−=
∫2
12
2
2
2
21
22
2
2
21
22
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21
22
21
22
21
21
12
1'2
21
22
21
22
T
nozzlegasFor
energykineticisentropicenergykineticactual
V V V V
T T T
V hhh
V V V V
s
an
n
−
−′=
−
−=
−
−=
−
−′==
η
η
( ) PE V V
hhwq ∆+−
+−=− 2
21
22
12
2
22V ′
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Thisimagecannot currently bedisplayed. ( )212 2 hhV −= η
−=
−
γ
γ
η
1
1
212 12
p
pT cV p
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15 40 / .
500 50 / .
1.5 / 30 .
.
0. .
5 / 2.5
.
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isen hhhh 21'21
−=− η
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( )
n
nn
p pvv
p
pv p
n
nC
v pv pn
nvdpV V
1
1
212
1
1
2112
2211
2
1
21
22
1
1
2
12
−
−
=
−
−=
−−
==− ∫
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−
−=
+
n
1n
1
2n
2
1
2
1
1
2 pp
pp
vp
1nn
2Am
−
−=
+
n
1n
1
2n
2
1
2
1
1
2 pp
pp
vp
1nn
2Am
−
=
+
n
n
n
p p
p p f m
1
1
2
2
1
2
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012
= −+
nn
n r r dr d
112
1
2
12
0
let
−+
+==
−
=
nn
nn
n
nr r r dr d
r p p
Steam (saturated) n = 1.135 r = 0.5774Steam (superheated) n = 1.3 r = 0.545Air n=1.4 r = 0.528
12
1
2
+=
γ T T
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t
nn
avnpV
nnv p
nnV
nv p
nn
V
p pv p
nnV
==
−
−=
−+
−=
−
−=
−
222
222
222
1
1
2222
11
2
12
11
2
11
2
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12
12
1112
121
12
112
2
112
222
112
1
1
2112
+=
+=
+
−
−=
+−
−=
−
−=
−
naV
nvnp
V
nnv pn nV
nv p
nnV
p p
v pnn
V
i
nn
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p
dp
nv
dvC pv
vdv
V dV
AdA
v AV
m
n 1
0
−==
=−+
=
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01
0
1
2
2
=+−
=−+
−=
−=−=
pdp
nV dp
v AdA
v
dv
V
dV
A
dA p
dp
nv
dvV
vdp
V
dV vdpVdV
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−=
−=
−=
−=
=+−
1
11
1
1
11
11
01
22
2
2
2
2
2
M p
dp
nV
a
p
dp
n A
dA
V a
pdp
nV npv
pdp
n AdA
pdp
nV dpv
AdA
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when M1 then dA/A is positive.
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( )1−−=′
nnn
n η
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3s
3
pp superheatof degree =
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