Explanation The p − v diagram of the Diesel cycle is shown below. Figure-(1) The T − s diagram of the Diesel cycle is shown below. Figure-(1) The processes of Diesel cycle are: 1-2: Reversible adiabatic compression. 2-3: Constant pressure heat addition. 3-4: Reversible adiabatic expansion. 4-1: Constant volume heat rejection. Write the expression for the compression ratio. r = V 1 V 2 Here, the volume of cylinder before compression is V 1 and after compression is V 2 . Write the expression for the cutoff ratio. r c = V 3 V 2 = T 3 T 2 Here, the temperature at point 3 is T 3 and at point 2 is T 2 , the volume of cylinder before expansion is V 3 and after compression is V 2 . Write the expression for the expansion ratio. r e = V 4 V 3 = V 1 V 3 Here, the volume of cylinder after expansion is V 4 . Write the expression between expansion ratio, cutoff ratio and compression ratio. r c ⋅ r e = r Write the expression for the thermal efficiency of the Diesel cycle. η t h = 1 − Q R Q S (I) Here, the heat supplied to the cycle is Q S and heat rejected from the cycle is Q R . Write the expression between, temperature and compression ratio for process 1-2. T 2 T 1 = ( r ) k − 1 Here, the adiabatic index is k , the temperature at compressor outlet is T 2 , the compressor inlet is T 1 and the compression ratio is r . Write the expression between, temperature and cutoff ratio for process 4-1. T 4 T 1 = ( r c ) k Here, the temperature at point 4 is T 4 and at point 1 is T 1 and the cutoff ratio is r c . Conclusion: Substitute m c v ( T 4 − T 1 ) for Q R and m c p ( T 3 − T 2 ) in Equation (I)

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 9.14, Problem 30P

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The efficiency of diesel cycle efficiency.

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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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