Explanation Draw the P − v diagram for air standard diesel cycle as shown in Figure (1). Write the temperature and specific volume relation for the isentropic compression process 1-2. T 2 = ( v 1 v 2 ) k − 1 T 2 = T 1 ( r ) k − 1 Here, the compression ratio is r , the specific heat ratio is k , specific volume at state 1 and 2 are v 1 and v 2 respectively. Write the temperature, and volume relation for the constant pressure heat addition process 2 − 3 . T 3 = T 2 ( v 3 v 2 ) = T 2 r c (I) Here, the cutoff ratio is r c , volume at state 3 is v 3 , temperature at state 2 is T 2 and temperature at state 3 is T 3 . Write the expression of heat input ( q in ) during constant pressure heat addition process 2 − 3 . q in = c p ( T 3 − T 2 ) (II) Here, specific heat at constant pressure is c p

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Chapter 9.12, Problem 67P

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An expression for cutoff ratio in terms of qincp(r)k−1T1.

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Chapter 9.12, Problem 66P

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