954
Equations
Gas Turbine System
Air enters the compressor of a gas turbien at P
1
=100 kPa, T
1
=300 K. The isentropic efficiencies of the compressor and
turbine are specified to be 90%, 80% and 70%. The temperature at the turbine inlet is 1400 K. The volumetric flow rate at
the compressor inlete is 5 m
3
/sThe power developed is 5e6 Btu/hr. Calculate and plot
a) the thermal efficiency
b) the back work ratio
c) the net power developed
versys pressure ratio for ratios between 2 and 20
Refer to states as shown in
EES
DiagramW indow
$ifnot ParametricTable
PressureRatio
= 10
(1)
$endif
known information
P
1
= 100 [kPa]
(2)
T
1
= 300 [K]
(3)
T
3
= 1400 [K]
(4)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
˙
V
= 5
m
3
/
s
volumetric flow at inlet
(5)
h
1
= h (
Air,
T
=
T
1
)
inlet state
(6)
s
1
= s (
AIr,
T
=
T
1
,
P
=
P
1
)
(7)
P
2
=
PressureRatio
·
P
1
neglect pressure losses
(8)
s
2
id
=
s
1
ideal compressor is isentropic
(9)
h
2
id
= h (
Air,
s
=
s
2
id
,
P
=
P
2
)
(10)
η
c
=
h
2
id

h
1
(
h
2

h
1
)
definition of isentropic efficiency
(11)
T
2
= T (
Air,
h
=
h
2
)
(12)
w
c
=
h
1

h
2
(13)
Effectiveness
= 0
.
8
(14)
Effectiveness
=
h
x

h
2
h
4

h
2
(15)
T
x
= T (
Air,
h
=
h
x
)
(16)
q
23
=
h
3

h
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '07
 MARTIN
 Mass flow rate, Orifice plate, neglect pressure losses

Click to edit the document details