(a) Explanation Show the simple Brayton cycle, and with air as the working fluid on T − s diagram. For the given simple Brayton cycle with air as the working fluid, let T i , P i , h i and P r i be the temperature, pressure, specific enthalpy and relative pressure at i t h state respectively. Write the expression of pressure ratio relation for the process 1-2. P r 2 = P 2 P 1 P r 1 (I) Write the relation of pressure ratio and pressure for the process 3-4. P r 4 = P 4 P 3 P r 3 (II) Write the expression of efficiency of the compressor ( η C ) . η C = h 2 s − h 1 h 2 − h 1 (III) Write the expression of efficiency of the turbine ( η T ) . η T = h 3 − h 4 h 3 − h 4 s (IV) Conclusion: Refer Table A-17, “Ideal gas properties of air”, obtain the properties of air at 295 K ( T 1 ) , which gives 295.17 kJ / kg for h 1 and 1.3068 for P r 1 . Substitute 10 for P 2 P 1 , and 1.3068 for P r 1 in Equation (I). P r 2 = ( 10 ) ( 1.3068 ) = 13.07 Refer Table A-17, “Ideal gas properties of air”, obtain the properties of air at 13.07 ( P r 1 ) , which gives 570.26 kJ / kg for h 2 s , and 564.9 K for T 2 s . Refer Table A-17, “Ideal gas properties of air”, obtain the properties of air at 1,240 K ( T 3 ) , which gives 1 , 324.93 kJ / kg for h 3 and 272.3 for P r 3 . Substitute 1 10 for P 4 P 3 , and 272 (b) To determine The net work output of the simple Brayton cycle. (c) To determine The thermal efficiency of the cycle.

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

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Question

Chapter 9.12, Problem 83P

(a)

To determine

The air temperature at the turbine exit.

(b)

To determine

The net work output of the simple Brayton cycle.

(c)

To determine

The thermal efficiency of the cycle.

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Chapter 9.12, Problem 82P

Chapter 9.12, Problem 85P

Chapter 9 Solutions

Thermodynamics: An Engineering Approach

Ch. 9.12 - What are the air-standard assumptions?Ch. 9.12 - What is the difference between air-standard...Ch. 9.12 - How does the thermal efficiency of an ideal cycle,...Ch. 9.12 - What does the area enclosed by the cycle represent...Ch. 9.12 - Prob. 5P Ch. 9.12 - Prob. 6P Ch. 9.12 - Can the mean effective pressure of an automobile...Ch. 9.12 - Prob. 8P Ch. 9.12 - What is the difference between spark-ignition and...Ch. 9.12 - Prob. 10P

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