Environmental Engineering Reference
In-Depth Information
k
−
1
1
−
p
p
k
1
=
c T
2
1
(5.14)
p
1
1
Combining with a similar expression for the second stage gives the total
work per unit mass for the process (w
CV,TOT
):
k
−
1
k
−
1
1
2
c T
c T
−
p
p
−
p
p
k
k
p
1 1
1
2
2
b
w
=
c T
1
+
1
(5.15)
CV TOT
,
p
2 2
p
2 2
1
2
Furthermore, the total mass flow through the turbine can be expressed as
separate air and fuel input terms:
m
m
F
m m m m
=
+
=
1
+
(5.16)
T
A
F
A
A
Since
m
m
F
≈
constant
(5.17)
A
the result is
k
−
1
2
t
E
V
α
+ −
p
p
k
∫
2
GEN
b
=
m
β
dt
1
(5.18)
A
V
0
S
S
2
where
m
m
F
α η η
=
c T
+
1
(5.19)
M G p
2 2
A
and
k
−
1
1
c T
c T
−
p
p
k
p
1
1 1
β =
2
1
(5.20)
p
2 2
1
