Centrifugal Compressors - Turbomachinery Aerodynamics Aeronautical Engineering Notes | EduRev

Aeronautical Engineering : Centrifugal Compressors - Turbomachinery Aerodynamics Aeronautical Engineering Notes | EduRev

 Page 1


1
Lect- 32
Page 2


1
Lect- 32
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-32
In this lecture...
• Centrifugal compressors
• Coriolis acceleration
• Slip factor
• Performance characteristics
• Stall and surge
Page 3


1
Lect- 32
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-32
In this lecture...
• Centrifugal compressors
• Coriolis acceleration
• Slip factor
• Performance characteristics
• Stall and surge
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-32
Coriolis acceleration
• We have discussed earlier that pressure 
change due to the centrifugal force field is 
not a cause of boundary layer separation. 
• This can also be explained by the Coriolis 
forces that are present in centrifugal 
compressor rotors.
• Let us consider a fluid element travelling 
radially outward in the passage of a rotor.
• We shall examine the velocity triangles of 
this fluid during a time period dt.
Page 4


1
Lect- 32
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-32
In this lecture...
• Centrifugal compressors
• Coriolis acceleration
• Slip factor
• Performance characteristics
• Stall and surge
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-32
Coriolis acceleration
• We have discussed earlier that pressure 
change due to the centrifugal force field is 
not a cause of boundary layer separation. 
• This can also be explained by the Coriolis 
forces that are present in centrifugal 
compressor rotors.
• Let us consider a fluid element travelling 
radially outward in the passage of a rotor.
• We shall examine the velocity triangles of 
this fluid during a time period dt.
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
4
Lect-32
Or
V
O
Odr
Vd ?
dC
w
dC
V
d ?
C
C’
Or
O(r+dr)
Coriolis acceleration
Page 5


1
Lect- 32
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect-32
In this lecture...
• Centrifugal compressors
• Coriolis acceleration
• Slip factor
• Performance characteristics
• Stall and surge
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
3
Lect-32
Coriolis acceleration
• We have discussed earlier that pressure 
change due to the centrifugal force field is 
not a cause of boundary layer separation. 
• This can also be explained by the Coriolis 
forces that are present in centrifugal 
compressor rotors.
• Let us consider a fluid element travelling 
radially outward in the passage of a rotor.
• We shall examine the velocity triangles of 
this fluid during a time period dt.
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
4
Lect-32
Or
V
O
Odr
Vd ?
dC
w
dC
V
d ?
C
C’
Or
O(r+dr)
Coriolis acceleration
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
5
Lect-32
Coriolis acceleration
• The magnitude of the relative velocity is 
unchanged, but the particle has suffered 
an absolute change of velocity.
V
P
r
 magnitude, of direction
 tangential the in gradient pressure a requires it and
V a , on accelerati Coriolis the Thus,
, dt V Vdt dC , or
Vd dr dC
w
w
O ?
?
O
O O
? O
?
2
1
2
- =
?
?
=
+ =
+ =
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