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# Thermodynamics of Compressors Notes | EduRev

## : Thermodynamics of Compressors Notes | EduRev

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Lecture 12
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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