How Can I Compare the Efficiencies of Ideal Diesel, Otto, and Dual Cycles?

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SUMMARY

This discussion focuses on comparing the efficiencies of the Ideal Diesel, Otto, and Dual cycles under the assumption of constant specific heats. Key variables include the compression ratio (r) and efficiency (nth), with specific attention to the cut-off ratio for Diesel and Dual cycles, and the pressure ratio for the Otto cycle. The participants conclude that a common heat input (Qin) is unnecessary for calculating efficiency. Instead, they emphasize the importance of understanding the relationships between compression ratios and the specific heat values of the gases involved.

PREREQUISITES
  • Understanding of Ideal Diesel, Otto, and Dual thermodynamic cycles
  • Familiarity with concepts of compression ratio (r) and efficiency (nth)
  • Knowledge of cut-off ratios and pressure ratios in thermodynamics
  • Basic principles of thermodynamics and heat transfer
NEXT STEPS
  • Research the efficiency equations for Ideal Diesel, Otto, and Dual cycles
  • Study the impact of compression ratios on thermal efficiency in thermodynamic cycles
  • Examine the role of specific heat ratios (k) in cycle efficiency calculations
  • Explore thermodynamic texts that cover cold air analysis in detail
USEFUL FOR

Students and professionals in mechanical engineering, thermodynamics researchers, and anyone interested in the comparative analysis of thermodynamic cycles for engine efficiency optimization.

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I want to compare the Ideal Diesel, Otto and Dual cycles with constant specific heats. I am interested in knowing the relationship between r (compression) and nth (efficiency). I am unable to determine the common inputs to all three which can give me the efficiency for all the cycles. r with temperature and pressure is an obvious choice. But I also need cut off ratio to calculate diesel and dual cycle's efficiency and it is not there in otto cycle. And I need pressure ratio for otto's efficiency which is not there in the other two cycles. I was wondering if taking a common Qin (heat input) would do ?

Any suggestions please.
 
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I want to compare the Ideal Diesel, Otto and Dual cycles with constant specific heats. I am interested in knowing the relationship between r (compression) and nth (efficiency).

For a simple cold air analysis, you can consult just about any basic thermodynamics text or possibly even wikipedia. For a cold air analysis the efficiency of a otto cycle is a function of the k value of the gas and the compression radio. For a diesel or dual cycle you will need the cut out or cut in ratios. You shouldn't need any Qin for an efficiency calculation.
 

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