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The First Law and the Stirling Cycle.
Recall the expression for the First Law for a process of a closed system in terms of intensive
variables:
∆
u
12
=
q
12
–
w
12
We have shown previously that the work
for a process is given by
∫
=
2
1
12
pdv
w
where
p
must be expressed as a function of
v
.
We have just shown that the change in internal energy is given by:
(
29
T
c
T
T
c
dT
c
du
u
v
v
v
∆
=

=
=
=
∆
∫
∫
1
2
2
1
2
1
12
We can now evaluate the heat transfer for a process.
From the First Law we write
∫
∫
+
=
+
∆
=
2
1
2
1
12
12
12
pdv
dT
c
w
u
q
v
Recall the Stirling cycle and the work calculations for each process:
1
p
v
1
2
3
4
1
2
p
v
v
1
=
v
4
v
3
=
v
2
Cooling at constant
volume.
w
41
= 0
Heating at constant
volume.
w
23
= 0
Isothermal
compression
Isothermal
expansion
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View Full Document Calculate the heat transfer for each process and the cycle as a whole.
Assume a constant
specific heat.
Recall again
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This note was uploaded on 07/21/2011 for the course EML 3100 taught by Professor Staff during the Summer '10 term at FSU.
 Summer '10
 staff

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