Explanation Show the given diesel cycle on P − v diagram as in Figure (1). Write the expression of temperature and specific volume relation for the isentropic compression process 1-2. T 2 = T 1 ( v 1 v 2 ) k − 1 (I) Here, the temperature at state 1 is T 1 , the temperature at state 2 is T 2 , specific volume at state 1 is v 1 , specific volume at state 2 is v 2 , and the specific heat ratio is k . Write the expression of temperature, pressure, and specific volume relation for the constant pressure heat addition process 2-3. P 3 ν 3 T 3 = P 2 ν 2 T 2 ν 3 T 3 = ν 2 T 2 T 3 = ν 3 ν 2 T 2 (II) As pressure remains constant for process 2-3, P 2 and P 3 are equal. Here, the temperature at state 3 is T 3 , specific volume at state 2 is v 2 , specific volume at state 3 is v 3 , pressure at state 3 is P 3 , pressure at state 2 is P 2 , and temperature at state 2 is T 2 . Write the expression of thermal efficiency of the diesel cycle ( η t h ) . η t h = 1 − 1 r k − 1 r c k − 1 k ( r − 1 ) (III) Here, the compression ratio is r , and cutoff ratio is r c . Write the expression of rate of heat addition for the given diesel cycle ( Q ˙ in ) . Q ˙ in = W ˙ net η th (IV) Here, the net work done by the cycle is W ˙ net

9th Edition

ISBN: 9781259822674

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

Publisher: McGraw-Hill Education

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Chapter 9.12, Problem 50P

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The maximum temperature of the air and the rate of heat addition for the given diesel cycle.

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Chapter 9.12, Problem 49P

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The maximum temperature of the air and the rate of heat addition for the given diesel cycle.

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