(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 temperature and pressure relation ratio for the compression process 1-2. T 2 s = T 1 ( P 2 P 1 ) ( k − 1 ) / k (I) Here, the specific heat ratio is k . Write the expression of efficiency of the compressor ( η C ) . η C = h 2 s − h 1 h 2 − h 1 η C = c p ( T 2 s − T 1 ) c p ( T 2 − T 1 ) (II) Here, specific heat at constant pressure is c p . Write the expression of temperature and pressure relation ratio for the expansion process 3-4. T 4 s = T 3 ( P 4 P 3 ) ( k − 1 ) / k (III) Write the expression of efficiency of the turbine ( η T ) . η T = h 3 − h 4 h 3 − h 4 s η T = c p ( T 3 − T 4 ) c p ( T 3 − T 4 s ) (IV) Conclusion: Substitute 295 K for T 1 , 10 for P 2 P 1 , and 1 (b) To determine The net work output of the simple Brayton cycle. (c) To determine The thermal efficiency of the cycle.

8th Edition

ISBN: 9781307434316

Author: CENGEL

Publisher: INTER MCG

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Question

Chapter 9.12, Problem 85P

(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 83P

Chapter 9.12, Problem 86P

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Chapter 9 Solutions

THERMODYNAMICS(SI UNITS,INTL.ED)EBOOK>I

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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