Explanation Show the simple Brayton cycle, and with air as the working fluid on T − s diagram as in Figure (1). Write the temperature and pressure relation ratio for the process 1-2. T 2 = T 1 ( P 2 P 1 ) ( k − 1 ) / k T 2 = T 1 ( r p ) ( k − 1 ) / k (I) Here, the specific heat ratio is k and pressure ratio is r p , temperature at state 1 is T 1 , temperature at state 2 is T 2 , pressure at state 1 is P 1 and pressure at state 2 is P 2 . Write the temperature and pressure relation ratio for the process 3-4. T 4 = T 3 ( P 4 P 3 ) ( k − 1 ) / k T 4 = T 3 ( 1 r p ) ( k − 1 ) / k (II) Here, temperature at state 4 is T 4 , temperature at state 3 is T 3 , pressure at state 4 is P 4 and pressure at state 3 is P 3 . Conclusion: The exit temperature of compressor and turbine are equal ( T 2 = T 4 ) . From Equation (I) and Equation (II), obtain the pressure ratio ( r p )

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ISBN: 9781260917055

Author: CENGEL

Publisher: MCG

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Chapter 9.12, Problem 169RP

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The pressure ratio for the given simple Brayton cycle.

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Chapter 9.12, Problem 168RP

Chapter 9.12, Problem 170RP

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CENGEL'S 9TH EDITION OF THERMODYNAMICS:

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The pressure ratio for the given simple Brayton cycle.

Solution Summary: The author shows the simple Brayton cycle, and with air as the working fluid on T-s diagram as in Figure (1).

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The pressure ratio for the given simple Brayton cycle.

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