(a) Explanation Write the expression for the reduced pressure at saturated state. p r 2 s = p 2 p 1 p r 1 (I) Here, the pressure at state 1 is p 1 , the pressure at state 2 is p 2 , the reduced pressure at state 1 is p r 1 and the reduced pressure at saturated state 2 is p r 2 s . Write the expression for the specific enthalpy in terms of compressor efficiency at state 2. h 2 = h 1 + ( h 2 s − h 1 η c ) (II) Here, the compressor efficiency is η c , the specific enthalpy at state 2 is h 2 , the specific enthalpy at state 1 is h 1 and the saturated specific enthalpy at state 2 is h 2 s . Write the expression for the reduced pressure at saturated state-4. p r 4 s = p 4 p 3 p r 3 (III) Here, the pressure at state 3 is p 3 , the pressure at state 4 is p 4 , the reduced pressure at state 3 is p r 3 and the reduced pressure at saturated state 4 is p r 4 s . Write the expression for the specific enthalpy in terms of turbine efficiency at state 4. h 4 = h 3 − η t ( h 3 − h 4 s ) (IV) Here, the turbine efficiency is η t , the specific enthalpy at state 4 is h 4 . Write the expression for the thermal efficiency of the cycle. η = 1 − ( h 3 − h 4 ) − ( h 2 − h 1 ) ( h 3 − h x ) (V) Here, the thermal efficiency is η , the enthalpy at state 4 is h 4 , specific enthalpy at state 1 is h 1 , the specific enthalpy at state 2 is h 2 and the specific enthalpy at state 3 is h 3 . Conclusion: Refer to table A-22E “ideal gas properties of air” to obtain the specific enthalpy and reduced pressure at temperature T 1 = 537 ° R as 128.34 Btu / lb and 1.3593 . Refer to table A-22E “ideal gas properties of air” to obtain the specific enthalpy at temperature T x = 1120 ° R as 271.03 Btu / lb . Substitute 60 lbf / in 2 for p 2 , 14.5 lbf / in 2 for p 1 , and 1.3593 for p r 1 in Equation (I). p r 2 s = 60 lbf / in 2 14.5 lbf / in 2 ( 1.3593 ) = 4.1379 ( 1.3593 ) = 5.625 Refer to table A-22E “ideal gas properties of air” to obtain the saturated specific enthalpy at reduced pressure p r 2 s = 5.625 as 192.76 Btu / lb . Refer to table A-22E “ideal gas properties of air” to obtain the specific enthalpy and reduced pressure at temperature T 3 = 1700 ° R as 422.59 Btu / lb and 90.95 . Substitute 60 lbf / in 2 for p 3 , 14 (b) To determine The back work ratio for the cycle. (c) To determine The regenerative effectiveness of the cycle. (d) To determine The mass flow rate of the air.

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 9.14, Problem 69P

(a)

To determine

The thermal efficiency of the cycle.

(b)

To determine

The back work ratio for the cycle.

(c)

To determine

The regenerative effectiveness of the cycle.

(d)

To determine

The mass flow rate of the air.

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Chapter 9.14, Problem 68P

Chapter 9.14, Problem 70P

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Ch. 9.14 - Prob. 1E Ch. 9.14 - Prob. 2E Ch. 9.14 - Prob. 3E Ch. 9.14 - Prob. 4E Ch. 9.14 - Prob. 5E Ch. 9.14 - 6. What is the purpose of a rear diffuser on a...Ch. 9.14 - 7. What is the meaning of the octane rating that...Ch. 9.14 - Prob. 8E Ch. 9.14 - Prob. 9E Ch. 9.14 - 10. What is the purpose of the gas turbine–powered...

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