Thermodynamics of Compressors Notes | EduRev

: Thermodynamics of Compressors Notes | EduRev

 Page 1


1
Lecture 12
Page 2


1
Lecture 12
2
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
Thermodynamics 
of 
Compressors
Page 3


1
Lecture 12
2
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
Thermodynamics 
of 
Compressors
3
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
• The main purpose of thermodynamic
analysis and calculation of a compressor/
turbine of a gas turbine engine, is to
obtain a reasonable prediction of the work
to be supplied, and the efficiency with
which this work may be expected to be
performed.
• This allows an optimized cycle design,
which precedes the detailed design of the
engine.
Page 4


1
Lecture 12
2
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
Thermodynamics 
of 
Compressors
3
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
• The main purpose of thermodynamic
analysis and calculation of a compressor/
turbine of a gas turbine engine, is to
obtain a reasonable prediction of the work
to be supplied, and the efficiency with
which this work may be expected to be
performed.
• This allows an optimized cycle design,
which precedes the detailed design of the
engine.
4
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
. W p dV ?=
x
W F dx ?=
Work in a closed system
Work done by piston
Work done by gas expansion
Open Systems
2
1
11 2 2
.
V
V
W p v p v p dv ?= - +
?
Work done by an open 
compression
Where, p
1
v
1
=work done for air entry 
p
2
v
2
=work done for air exhaust      
and, the 3
rd
term is the work done for
compression. 
Page 5


1
Lecture 12
2
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
Thermodynamics 
of 
Compressors
3
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
• The main purpose of thermodynamic
analysis and calculation of a compressor/
turbine of a gas turbine engine, is to
obtain a reasonable prediction of the work
to be supplied, and the efficiency with
which this work may be expected to be
performed.
• This allows an optimized cycle design,
which precedes the detailed design of the
engine.
4
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
. W p dV ?=
x
W F dx ?=
Work in a closed system
Work done by piston
Work done by gas expansion
Open Systems
2
1
11 2 2
.
V
V
W p v p v p dv ?= - +
?
Work done by an open 
compression
Where, p
1
v
1
=work done for air entry 
p
2
v
2
=work done for air exhaust      
and, the 3
rd
term is the work done for
compression. 
5
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
Lect 12
i) Adiabatic (process 1-2
/
) 
ii) Isothermal (process 1-2
//
),   
iii) isochoric (Process 1-2
///
),                   
iv) polytropic (1-2) 
Ideal / Real thermodynamics of compression
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