Explanation Write the expression for the compression ratio r . r = v 1 v 2 (I) Here, specific volume at state 1 is v 1 , and specific volume at state 2 is v 2 . Write the expression for the cutoff ratio r c . r c = v 3 v 2 (II) Here, specific volume at state 3 is v 3 , and specific volume at state 2 is v 2 . Write the expression to calculate the thermal efficiency of the ideal diesel cycle ( η t h ) . η t h = 1 − 1 r k − 1 r c k − 1 k ( r c − 1 ) (III) Here, the compression ratio is r , and cutoff ratio is r c . Conclusion: From the Table A-2, “Ideal-gas specific heats of various common gases”, obtain the value of specific heat ratio ( k ) of air as 1.4. Substitute 2 L for ν 1 and 0.13 L for ν 2 in Equation (I)

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Chapter 9.12, Problem 195FEP

To determine

The thermal efficiency of the ideal diesel cycle.

(a) 41%

(b) 59%

(c) 66%

(d) 70%

(e) 78%

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Chapter 9.12, Problem 194FEP

Chapter 9.12, Problem 196FEP

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In a cold-air standard diesel cycle, the volume of the cylinder amounts to 85 cm3 at the beginning of the heat addition process, 175 cm3 at the end, and 1300 cm3 at the beginning of the heat rejection process. If air is at 19.5°C and 118 kPa at the end of the heat rejection process, determine the (a) thermal efficiency, in % (b) mean effective pressure, in kPa (c) the pressure at the end of the isentropic expansion process, in kPa. Illustrate the T-s and P-? diagrams. Use ??= 0.718 kJ/kg-K, ??= 1.005 kJ/kg-K and ?= 1.4, where applicable. Use g = 9.81 m/s2 or 32.2 ft/s2 , T(K)=T(°C)+273 and T(R)=T(°F)+460, where applicable

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The thermal efficiency of the ideal diesel cycle. (a) 41 % (b) 59 % (c) 66 % (d) 70 % (e) 78 %

Solution Summary: The author analyzes the thermal efficiency of the ideal diesel cycle.

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The thermal efficiency of the ideal diesel cycle.

(a) 41%

(b) 59%

(c) 66%

(d) 70%

(e) 78%

Want to see the full answer?

Chapter 9 Solutions

The thermal efficiency of the ideal diesel cycle. (a) 41 % (b) 59 % (c) 66 % (d) 70 % (e) 78 %

Solution Summary: The author analyzes the thermal efficiency of the ideal diesel cycle.

Concept explainers

The thermal efficiency of the ideal diesel cycle. (a) 41% (b) 59% (c) 66% (d) 70% (e) 78%

Want to see the full answer?

Chapter 9 Solutions

The thermal efficiency of the ideal diesel cycle.

(a) 41%

(b) 59%

(c) 66%

(d) 70%

(e) 78%