(a) 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-(2) Write the expression for the heat transfer for reversible adiabatic compression process 1-2. d Q 12 = 0 Write the expression for the heat transfer for constant pressure process 2-3. d Q 23 = c p ( T 3 − T 2 ) (I) Here, the specific heat at constant pressure is c p , the temperature at point 3 is T 3 and at point 2 is T 2 . Write the expression for the heat transfer for reversible adiabatic expansion process 3-4. d Q 34 = 0 Write the expression for the heat transfer for constant volume process 4-1. d Q 41 = c v ( T 4 − T 1 ) (II) Here, the specific heat at constant volume is c v , the temperature at point 4 is T 4 and at point 1 is T 1 . Write the expression for the work transfer for reversible adiabatic compression process 1-2. d W 12 = c v ( T 1 − T 2 ) (III) Here, the specific heat at constant volume is c v . Write the expression for the work transfer for constant pressure process 2-3. d W 23 = p 2 ( v 3 − v 2 ) (IV) Here, the specific volume of air at point 3 is v 3 and at point 2 is v 2 . Write the expression for the work transfer for reversible adiabatic expansion process 3-4. d W 34 = c v ( T 3 − T 4 ) (V) Write the expression for the work transfer for constant volume process 4-1. d W 41 = 0 (VI) Write the expression for the thermal efficiency for the cycle. % η D i e s e l = ( d W 12 + d W 23 + d W 34 + d W 41 d Q 23 ) × 100 % (VII) Conclusion: Substitute 0.240 Btu / lb ⋅ ° R for c p , 3274 ° R for T 3 and 1637 ° R for T 2 in Equation (I). d Q 23 = ( 0.240 Btu / lb ⋅ ° R ) × ( 3274 ° R − 1637 ° R ) = ( 0.240 Btu / lb ⋅ ° R ) × 1637 ° R =392 .88 Btu / lb Substitute 0.172 Btu / lb ⋅ ° R for c v , 1425.1 ° R for T 4 and 540 ° R for T 1 in Equation (II). d Q 41 = ( 0.172 Btu / lb ⋅ ° R ) × ( 1425.1 ° R − 540 ° R ) = ( 0.172 Btu / lb ⋅ ° R ) × 885.1 ° R =152 .24 Btu / lb Substitute 0.172 Btu / lb ⋅ ° R for c v , 540 ° R for T 1 and 1637 ° R for T 2 in Equation (III). d W 12 = ( 0 (b) To determine The exergy transfers accompanying heat and work for each process. The exergetic efficiency for the cycle.

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 27P

(a)

To determine

The heat transfer per unit mass and work per unit mass for each process.

The cycle thermal efficiency.

(b)

To determine

The exergy transfers accompanying heat and work for each process.

The exergetic efficiency for the cycle.

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Chapter 9.14, Problem 26P

Chapter 9.14, Problem 28P

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Chapter 9 Solutions

Fundamentals of Engineering Thermodynamics

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The heat transfer per unit mass and work per unit mass for each process. The cycle thermal efficiency.

The heat transfer per unit mass and work per unit mass for each process. The cycle thermal efficiency.

The exergy transfers accompanying heat and work for each process. The exergetic efficiency for the cycle.

Want to see the full answer?

Chapter 9 Solutions

The heat transfer per unit mass and work per unit mass for each process.

The cycle thermal efficiency.

The exergy transfers accompanying heat and work for each process.

The exergetic efficiency for the cycle.