\ ME 200 L34 Self Study Assignment 9.6 Todays Class 9.11 Material not picked up this week may be recycled! \ ME 200 L34 Gas Turbine Power Generation and.
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ME 200 L34Gas Turbine Power Generation and Aircraft Propulsion
Self Study Assignment 9.6Today’s Class 9.11
Kim See’s Office ME Gatewood Wing Room 2172 Examination 3 grades, Quiz 5 grades are available Blackboard and Examinations
and Quizzes can be picked up all of this week from Gatewood Room 2172
If the turbine and the compressor are not isentropic but operate with 𝜼T , 𝜼C find the impact on the work of the cycle, heat input and thermal efficiency
𝜼C = 0.86 (Chosen in class based on student input); 𝜼T =0.91 chosen to be higher than Compressor efficiency since turbine efficiency matters more and companies mustimprove it sooner. Steps: (1) Identify and number all states and start a table of propertiesfor the states. (2) Recognize that compressor efficiency and turbine efficiencylead to additional state definitions (2s, 2a in place of 2 and 4s and 4a in place of 4).
Steps: (1) Identify and number all states and start a table of propertiesfor the states. (2) Recognize that compressor efficiency and turbine efficiencylead to additional state definitions (2s, 2a in place of 2 and 4s and 4a in place of 4).(3) Table A 22 E is to be referenced with the known states and knowledge of processdefinitions to find all properties necessary to calculate the work of compressor, work ofTurbine, heat added, heat rejected and resulting EtaTh, mdot
air (lb/hr), wdotcycle(Btu/hr)
State T, oR h, Btu/lbm Pr P, atm
1 520 124.27 1.2147 1
2s 1040 250.95 1.2147*12= 14.5764 or ~14.18 12
2a 1120 271.57 ~ 271.03 Pr not relevant 12
3 2800 732.33 702 12
4s 1520 374.47 702/12=58.5 ~ 58.78 1
4a 1650 406.67~409.13 Pr not relevant 1
22
1
34
4
Pr12 Pr 12*1.2147 14.5768 ~14.18
Pr
Pr12 Pr 702 /12 58.5 ~ 58.78
Pr
ss
ss
3 44 3 3 4
3 4
2 12 1 2 1
2 1
0.91 0.91( )
0.86 ( ) / 0.86
aT a s
s
sC a s
a
h hh h h h
h h
h hh h h h
h h
Answers3 4 2 1
3 2
( ) ( )/ / a a
T C H T C HThermala
h h h hW W Q w w q
h h
0.3817(732.33 409.13) (271.57 124.27) 323.2 147.3
732.33 271.57 460.76Thermal
8 63 2/ ( ) 5.2x10 (Btu / h)/323.2(Btu/lbm)=1.6x10 /am Q h h lbm hr
63 4 2 1
8
( ) ( ) 1.6x10 (323.2 147.3)
2.83*10 /
Cycle a aW m h h h h
Btu hr
Gas Turbine Power Plants
3. Compressor, combustion chamber, and turbine are treated as control volumes and mass, energy, and entropy balances are applied to each.4. The heat rejection process substitutes exhaust and fresh air admission.
1. Compression, heat addition and expansion are followed by exhaust of products and induction of fresh air. 2. The last two steps represent heat rejection.