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# Tutorial - Axial Compressors Notes | EduRev

## : Tutorial - Axial Compressors Notes | EduRev

``` Page 1

1
Lect-17
Page 2

1
Lect-17
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-17
In this lecture...
• Tutorial
– Axial compressors
Page 3

1
Lect-17
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-17
In this lecture...
• Tutorial
– Axial compressors
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-17
Problem # 1
Air at 1.0 bar and 288 K enters an axial flow
compressor with an axial velocity of 150 m/s. There are
no inlet guide vanes. The rotor stage has a tip diameter
of 60 cm and a hub diameter of 50 cm and rotates at
100rps. The air enters the rotor and leaves the stator in
the axial direction with no change in velocity or radius.
The air is turned through 30.2 degree as it passes
through the rotor. Assume a stage pressure ratio of 1.2
and overall pressure ratio of 6. Find a) the mass flow
rate of air, b) the power required to drive the
compressor, c) the degree of reaction at the mean
diameter, d) the number of compressor stages required
if the isentropic efficiency is 0.85.
Page 4

1
Lect-17
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-17
In this lecture...
• Tutorial
– Axial compressors
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-17
Problem # 1
Air at 1.0 bar and 288 K enters an axial flow
compressor with an axial velocity of 150 m/s. There are
no inlet guide vanes. The rotor stage has a tip diameter
of 60 cm and a hub diameter of 50 cm and rotates at
100rps. The air enters the rotor and leaves the stator in
the axial direction with no change in velocity or radius.
The air is turned through 30.2 degree as it passes
through the rotor. Assume a stage pressure ratio of 1.2
and overall pressure ratio of 6. Find a) the mass flow
rate of air, b) the power required to drive the
compressor, c) the degree of reaction at the mean
diameter, d) the number of compressor stages required
if the isentropic efficiency is 0.85.
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
4
Lect-17
Solution : Problem # 1
1
ß
a
C
1
V
U
2
C
U
2
V
2
ß
Page 5

1
Lect-17
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-17
In this lecture...
• Tutorial
– Axial compressors
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-17
Problem # 1
Air at 1.0 bar and 288 K enters an axial flow
compressor with an axial velocity of 150 m/s. There are
no inlet guide vanes. The rotor stage has a tip diameter
of 60 cm and a hub diameter of 50 cm and rotates at
100rps. The air enters the rotor and leaves the stator in
the axial direction with no change in velocity or radius.
The air is turned through 30.2 degree as it passes
through the rotor. Assume a stage pressure ratio of 1.2
and overall pressure ratio of 6. Find a) the mass flow
rate of air, b) the power required to drive the
compressor, c) the degree of reaction at the mean
diameter, d) the number of compressor stages required
if the isentropic efficiency is 0.85.
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
4
Lect-17
Solution : Problem # 1
1
ß
a
C
1
V
U
2
C
U
2
V
2
ß
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
5
Lect-17
Solution: Problem # 1
° =
=
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?
?
?
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?
?
-
=
° = - =
° =
?
?
?
?
?
?
?
?
=
= ×
?
?
?
?
?
?
+
× = ×
?
?
?
?
?
?
+
× =
-
92 . 38
75 . 80
tan
tan
19 2 . 30 2 . 49
2 . 49 tan
/ 76 . 172 100
2
5 . 0 6 . 0
2
2
2
2
2
1
1
a
ß
a
ß
ß
p p
a
a
a
h t
C
C U
C
U
s m N
d d
U
```
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