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

===

===

=−=−

=

=−+=−−+−=

−−+−==−=−=

=−+−=

−+−=

∫ ∫