a) Explanation Draw the T − s diagram regenerative gas turbine as shown in Figure (1). Write the expression to calculate the pressure ratio for the regenerative gas turbine ( r p ) . r p = P 2 / P 1 . (I) Here, pressure at state 1 is P 1 and pressure at state 2 is P 2 . Write the temperature and pressure relation ratio for the expansion process 3-4 s . T 4 s = T 3 ( 1 r p ) ( k − 1 ) / k . (II) Here, temperature at state 3 is T 3 and isentropic temperature at state 4 s is T 4 s . Write the expression to calculate the efficiency of the turbine ( η T ) . η T = c p ( T 3 − T 4 ) c p ( T 3 − T 4 s ) T 4 = T 3 − η T ( T 3 − T 4 s ) (III) Here, temperature at state 4 is T 4 . Write the expression to calculate the heat added due to regeneration ( q regen ) . q regen = ε × c p ( T 4 − T 2 ) . (IV) Here, the specific heat at constant pressure is c p , the effectiveness of the regenerator is ε and temperature at state 2 is T 2 . Conclusion: From Table A-17, “Ideal-gas specific heats of various common gases”, obtain the following properties of air at room temperature. c p = 1.005 kJ / kg k = 1.4 Substitute 900 kPa for P 2 and 100 kPa for P 1 in Equation (I). r p = 900 kPa / 100 kPa = 9 Substitute 1400 K for T 3 , 9 for r p and 1 b) To determine The thermal efficiency of the turbine.

8th Edition

ISBN: 9780073398174

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

Publisher: McGraw-Hill Education

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Chapter 9.12, Problem 110P

To determine

The amount of heat transfer in the regenerator.

To determine

The thermal efficiency of the turbine.

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Chapter 9.12, Problem 109P

Chapter 9.12, Problem 111P

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The amount of heat transfer in the regenerator.

Solution Summary: The author explains the amount of heat transfer in the regenerator and the expression to calculate the pressure ratio for the regenerative gas turbine.

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The amount of heat transfer in the regenerator.

The thermal efficiency of the turbine.

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Chapter 9 Solutions