(a) Explanation The p − v diagram for Atkinson cycle is shown below. Figure-(1) 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 at point 2. T 2 = r k − 1 ⋅ T 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 for temperature at point 3. T 3 = r p ⋅ r k − 1 ⋅ T 1 Here, the cutoff ratio is r . Write the expression for temperature at point 4. T 4 = r p 1 / k ⋅ T 1 Here, the pressure ratio is r p . Conclusion: Substitute m c p ( T 4 − T 1 ) for Q R and m c v ( T 3 − T 2 ) in Equation (I). η t h = 1 − m c p ( T 4 − T 1 ) m c v ( T 3 − T 2 ) = 1 − k ⋅ T 1 ⋅ ( T 4 T 1 − 1 ) T 2 ⋅ ( T 3 T 2 − 1 ) (II) Substitute r k − 1 ⋅ T 1 for T 2 , r p ⋅ r k − 1 ⋅ T 1 for T 3 and r p 1 / k ⋅ T 1 for T 4 in Equation (II) (b) To determine The cycle having greater efficiency.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118832318

Author: MORAN

Publisher: WILEY

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Question

Chapter 9.14, Problem 18P

(a)

To determine

The expression for the thermal efficiency of Atkinson cycle.

(b)

To determine

The cycle having greater efficiency.

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Chapter 9.14, Problem 17P

Chapter 9.14, Problem 19P

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Fundamentals of Engineering Thermodynamics

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