(a) Explanation The p − v diagram for the diesel cycle is shown below. Figure-(1) The T − s diagram for the diesel cycle is shown below. Figure-(2) Write the expression for relation between, temperature and compression ratio for process 1-2. T 2 T 1 = ( r c ) γ − 1 (I) Here, the temperature at compressor outlet is T 2 , the compressor inlet is T 1 and the compression ratio is r c . Write the expression for expansion ratio for process 3-4. ε = r c ⋅ T 2 T 3 (II) Here, the compression ratio is r c and temperature at point 2 is T 2 and at point 3 is T 3 . Write the expression for relation between, temperature and expansion ratio for process 3-4. T 4 T 3 = ( 1 ε ) γ − 1 (III) Here, the temperature at the end of expansion process is T 4 , the temperature at the starting of the expansion is T 3 and the expansion ratio is ε . Write the expression for the heat addition in process 2-3. Q 23 = m c p ( T 3 − T 2 ) (IV) Here, the specific heat at constant process is c p and mass of the air is m . Conclusion: Refer to table A-20E “ideal gas Specific Heats of Some Common Gases” to obtain the specific heat of air at constant pressure and at constant volume and at temperature T 1 = 520 ° R as 0.240 Btu / lb ⋅ ° R and 0.171 Btu / lb ⋅ ° R respectively. Substitute 520 ° R for T 1 , 1.4 for γ and 17 for r c in Equation (I). T 2 520 ° R = ( 17 ) 1 (c) To determine The thermal efficiency of the cycle. (c) To determine The cutoff ratio.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832301

Author: SHAPIRO

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 9.14, Problem 23P

(a)

To determine

The heat addition.

(c)

To determine

The thermal efficiency of the cycle.

(c)

To determine

The cutoff ratio.

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Chapter 9.14, Problem 22P

Chapter 9.14, Problem 24P

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Chapter 9 Solutions

Fundamentals of Engineering Thermodynamics

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