An air-standard regenerative Brayton cycle operates at steady state and produces 10 MW of power. Given the pressures and temperatures at the various states in Table 1 below, determine: (a) the specific enthalpies (kJ/kg) at all states for which the values are not given, (b) the mass flow rate of air through the cycle in kg/s, (c) the rate of heat transfer (in kW) to the working fluid passing through the combustor, and (d) the thermal efficiency (%) of the cycle. (e) Sketch the cycle on a T-s diagram, showing all states and processes. Assume the compressor and turbine isentropic efficiencies are both 80% and that the regenerator effectiveness is 70%.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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2. An air-standard regenerative Brayton cycle operates at steady state and produces 10 MW of power. Given the pressures and temperatures at the various states in Table 1 below, determine: (a) the specific enthalpies (kJ/kg) at all states for which the values are not given, (b) the mass flow rate of air through the cycle in kg/s, (c) the rate of heat transfer (in kW) to the working fluid passing through the combustor, and (d) the thermal efficiency (%) of the cycle. (e) Sketch the cycle on a T-s diagram, showing all states and processes. Assume the compressor and turbine isentropic efficiencies are both 80% and that the regenerator effectiveness is 70%.  

State
1
2s
2
X
3
4s
4
Y
Table 1: Properties Given for Problem 2
P (kPa)
T(K)
300
100
1200
603.5
1200
Do Not Calculate
1200
Do Not Calculate
1200
1450
100
780.7
100
Do Not Calculate
100
Do Not Calculate
Regenerator
timmt
Imm
Lin
To have
Combustor
tem H
Assumi
2
Compressor
Turbine
cycle
Figure 1.- Schematic of Brayton Cycle for Problem ?
W
h (kJ/kg)
300.19
610.65
h₂ = ?
hx = ?
1575.57
800.78
h4 = ?
hy = ?
Transcribed Image Text:State 1 2s 2 X 3 4s 4 Y Table 1: Properties Given for Problem 2 P (kPa) T(K) 300 100 1200 603.5 1200 Do Not Calculate 1200 Do Not Calculate 1200 1450 100 780.7 100 Do Not Calculate 100 Do Not Calculate Regenerator timmt Imm Lin To have Combustor tem H Assumi 2 Compressor Turbine cycle Figure 1.- Schematic of Brayton Cycle for Problem ? W h (kJ/kg) 300.19 610.65 h₂ = ? hx = ? 1575.57 800.78 h4 = ? hy = ?
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d) the thermal efficiency (%) of the cycle.

e) Sketch the cycle on a T-s diagram, showing all states and processes. Assume the compressor and turbine isentropic efficiencies are both 80% and that the regenerator effectiveness is 70%.   

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