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Analysis of Compressors

P M V Subbarao
Professor
Mechanical Engineering Department

Active Devices for Infusion of Life into Fluid….
Classification of Compressors

Rotodynamic Compressors

− ∫ vdp

Centrifugal
Compressors

Axial
Compressors

Mixed
Compressors

Positive Displacement
of Compressors

∫pdv

Reciprocating
Compressors

Rotory
Compressors
Centrifugal Vs Axial : Flow Area
Centrifugal Vs Axial : Level of interaction
In search of Time scale in Requirement

•
•
•
•

Primary characteristics of a requirement.
The effect: ∆p
The Capacity: Flow Rate Q (m3/s).
Density of fluid: ρ(kg/m3).
Machine-Fluid Matching Parameter:

Π = f ( Q, ∆p : ρ )
For compressible fluid machines
Π = Q × ( ∆p ) × ρ
j

i

 ∆p 

Π = Q ×
 ρ 



j

i

 m3 
Π =
 s 




i

 kg



2
×  m.s

kg 

3
m 


j

k
m
Π=
 s


3

i

 m 
 × 2 
 s 
 

2

j

Take j = -3/2
i

 m3   m 2 
 × 2 
Π=
 s  s 

 

m
Π =
 s


3

i

−3

  m −3 
 ×  −3 
 s 
 


2
Take i = 1/2 & j = -3/4

m
Π=
 s


3

1
2

 m 
 × 2 
 s 
 

2

−3

4

Π=

 ∆p 
Π = ( Q) × 
 ρ 



1
2

−3

Q

Π=
4

 ∆p 
 ρ



3

4

m
s

3

1

2

2

×

m
s

−3

−3

2

2
Time Scale of a Machine to Resource
Speed: N (rpm) or n (rps)
Dimensionless time scale =

Requirement Time Scale
Machine Time Scale

Π
Non - Dimension time scale =
1
n

This is named as Specific Speed, Ns


n m

Ns =

 ∆p 

ρ


3

4

Q

Π=
4

 ∆p 
 ρ




n m

Ns =
4

3

ρ

 ∆p 
 ρ



3
Centrifugal

Mixed
Axial
Role of specific Speed on Design of A Compressor
Centrifugal Compressors
•

•

•

•
•

The centrifugal compressor consists
essentially of a stationary casing containing
a rotating impeller which imparts a high
velocity to the air, and
A number of diverging passages (Diffuser)
in which the air is decelerated with a
consequent rise in static pressure.
Air is sucked into the impeller eye and
whirled round at high speed by the vanes on
the impeller disc.
Centripetal acceleration leads to increase in
rise of some amount of static pressure.
The remaining increase in rise of pressure
occurs in diffuser.
Multi Stage Compressors
Impeller–Diffuser :Rotor-Stator
Anatomy of A Centrifugal
Compressors
Gas Dynamics of A Perfect Impeller
Va2

Vf2 =Vr2
Vw2= Utip

Ueye
b1
Vr1
Vw1=0

Vf1=Va1
Va2

Vr2

b2

Reality of Fluid Mechanics

Vw2
Va2

Vf2

Vr2
Vw2

b1
Vr1

Vf1=Va1

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analysis of compressor

  • 1. Analysis of Compressors P M V Subbarao Professor Mechanical Engineering Department Active Devices for Infusion of Life into Fluid….
  • 2. Classification of Compressors Rotodynamic Compressors − ∫ vdp Centrifugal Compressors Axial Compressors Mixed Compressors Positive Displacement of Compressors ∫pdv Reciprocating Compressors Rotory Compressors
  • 3. Centrifugal Vs Axial : Flow Area
  • 4. Centrifugal Vs Axial : Level of interaction
  • 5. In search of Time scale in Requirement • • • • Primary characteristics of a requirement. The effect: ∆p The Capacity: Flow Rate Q (m3/s). Density of fluid: ρ(kg/m3).
  • 6. Machine-Fluid Matching Parameter: Π = f ( Q, ∆p : ρ ) For compressible fluid machines
  • 7. Π = Q × ( ∆p ) × ρ j i  ∆p   Π = Q ×  ρ    j i  m3  Π =  s     i  kg    2 ×  m.s  kg   3 m   j k
  • 8. m Π=  s  3 i  m   × 2   s     2 j Take j = -3/2 i  m3   m 2   × 2  Π=  s  s      m Π =  s  3 i −3   m −3   ×  −3   s     2
  • 9. Take i = 1/2 & j = -3/4 m Π=  s  3 1 2  m   × 2   s     2 −3 4 Π=  ∆p  Π = ( Q) ×   ρ     1 2 −3 Q Π= 4  ∆p   ρ   3 4 m s 3 1 2 2 × m s −3 −3 2 2
  • 10. Time Scale of a Machine to Resource Speed: N (rpm) or n (rps) Dimensionless time scale = Requirement Time Scale Machine Time Scale Π Non - Dimension time scale = 1 n This is named as Specific Speed, Ns  n m Ns =  ∆p   ρ   3 4 Q Π= 4  ∆p   ρ    n m Ns = 4 3 ρ  ∆p   ρ   3
  • 12. Role of specific Speed on Design of A Compressor
  • 13. Centrifugal Compressors • • • • • The centrifugal compressor consists essentially of a stationary casing containing a rotating impeller which imparts a high velocity to the air, and A number of diverging passages (Diffuser) in which the air is decelerated with a consequent rise in static pressure. Air is sucked into the impeller eye and whirled round at high speed by the vanes on the impeller disc. Centripetal acceleration leads to increase in rise of some amount of static pressure. The remaining increase in rise of pressure occurs in diffuser.
  • 16. Anatomy of A Centrifugal Compressors
  • 17. Gas Dynamics of A Perfect Impeller Va2 Vf2 =Vr2 Vw2= Utip Ueye b1 Vr1 Vw1=0 Vf1=Va1
  • 18. Va2 Vr2 b2 Reality of Fluid Mechanics Vw2 Va2 Vf2 Vr2 Vw2 b1 Vr1 Vf1=Va1