Carnot Rankine Cycle
Rankine Cycle - SUPERHEAT
( )( )12
12
hhmQ 0, Wwherehhm W0,Q where
EquationEnergy FlowSteady From
dWdQ
−×==−×==
= ∫∫
in
outin
incycle Q
QQQ
Workη −==
Rankine Cyclewith real pump and real turbine
6-84
( )
( )
.210135.10
1.2103WW
kgJ/ 2103.1lWkJ/kg 2609.7kJ/kg 4712.8W
C1040T4712.8,
7.9085ss and, MPa 10 @
kJ/kg 2609.7h
7.9085ss kPa, 20 @
94.1kJ/kg10.13583.96Wh83.96h
kgPamk 10.135W
kPa 02kPa 10,000 /kgm .0010135W
ppvρ
ppW
kg 1 ssume
pump
turbine
turbine
turbine
o44
34
g3
g3
pump12
f1
3
pump
3pump
12112
pump
==
=−=
==
==
==
==
=+=+===
=
−×=
−=−
= T
s
3
4
1
2
%6.74η273.15)(104060.61040
TTTη
45.3%4618.72093
QWη
kJ/ 2093.2525.74618.7QQWkJ/kg 2525.783.962609.7hhQ
kJ/kg 4618.794.14712.8hhQ
C t
H
LHCarnot
in
netcycle
outinnet
13out
24in
=+−
=−
=
===
=−=−==−=−=
=−=−=
y p qenters the pump and saturated vapor leaves the turbine. Determine the ratio of pump work to turbine work and the cycle efficiency.
Rankine Cycle - REHEAT improvementideal pump and ideal expansion
SUPERCRITICAL Rankine Cycle
Rankine Cycle - REGENERATION Improvementideal pump and ideal expansion
Rankine Cycle - REGENERATION Improvementideal pump and ideal expansion
Regeneration Rankine Cycle
Combined Rankine Gas Turbine Cycle
9-29 ex T
1
2
3
4
6
7
9
2
10
%80=η
%95=η
5 8
kPa 10 107.76222 kPa 0 1 9
7.7622 3478.5 MPa 1 500 8 MPa 1 7
6.5966 MPa 1 66.5966 3373.7 MPa 10 500 5
MPa 10 4 MPa 10 3
.001452 .6493 MPa 10 2.001010 .6493 191.83 kPa 10 45.81 1 v s h p TPt
9-29 ex
J/kg78.2782h6.5865 2778.1 179.916.5966ss 6.6940 2827.9 200
s h T ss MPa, 1 @
kJ/kg 10.71W.95
10)(10,000.001010W
kJ/kg 203.11h
11.28191.83Whh
kJ/kg 11.28.95
191.83202.55W
.95hh
.95W
W
kJ/kg 202.55h.5686 176.38 40.6493ss .8258 259.49 60
s h T le water tabsubcooled
6
56
56
pump
pump
3
lpumpactura13
actual pump
12ideal pumpactual pump
2
12
=
==
=
=
−×=
∆=
=
+=+=
=−
=
−==
=
==
ηpv
( )( )
( )( )
C)902519.8,(h kJ/kg 2664.39h
2460.863478.5.83478.5hhh.8hh
.8hhhhη
kJ/kg 2460.862392.8x191.83h
.94837.5009
.64937.7622s
ssx
ss kPa, 10 @/96.2900
78.27827.33738.7.33738.
Osat10
10
98810
98
108
9
fg
f8
89
7
7
6557
65
75
≈==
−×−=−×−=
=−−
=
=×+=
=−
=−
=
==
−×−=−×−=
−−
=
kgkJhh
hhhhhhhhη
( ) ( )( ) ( )
( ) ( )( ) ( )( ) ( )
kg/sec 62.71275.57
ec80,000kJ/s WorkSpecific
WorkTotalm
34.03%3748.131275.57
QWη
1275.572472.563742.13WQQ
dWdQ
kJ/kg 1275.5711.28814.11472.74W11.282664.393478.52900.963373.7W
WhhhhWkJ/kg 2472.56191.832664.39hhQ
kJ/kg 3748.13Q203.113373.72900.963478.5Q
hhhhQ
in
netcycle
netinout
pump10875
110out
in
in
3578in
===
===
=−=−
=
=−+=−−+−=
−−+−==−=−=
=−+−=
−+−=
∫ ∫