Calculating Efficiency of Diesel Cycle

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SUMMARY

The discussion focuses on calculating the efficiency of the Diesel cycle using known parameters such as P1V1, P2V2, P3V3, P4V4, and specific temperatures. The user has identified T1 as 20°C, with a specific heat capacity at constant pressure of 1000 J/kgK and a specific gas constant of 287 J/kgK. The compression index is given as 1.4. The main challenge is determining the temperatures T2, T3, and T4, and understanding how to apply the specific heat and gas constant in the efficiency calculations.

PREREQUISITES
  • Understanding of the Diesel cycle thermodynamics
  • Knowledge of specific heat capacity and gas constants
  • Familiarity with the equations of state for ideal gases
  • Ability to perform calculations involving compression ratios
NEXT STEPS
  • Study the derivation of the Diesel cycle efficiency formula
  • Learn how to calculate temperatures T2, T3, and T4 using the specific heat capacity and gas constant
  • Explore the application of the ideal gas law in thermodynamic cycles
  • Review examples of Diesel cycle efficiency calculations in engineering textbooks
USEFUL FOR

Students and professionals in mechanical engineering, particularly those focusing on thermodynamics and engine efficiency calculations.

newe999
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1. Homework Statement
given:
diesel cycle,
P1V1 P2V2 P3V3 P4V4 - all known
T1 = 20°c
specific heat capacity constant pressure = 1000j/kgk
specific gas constant = 287j/kgk
compression index = 1.4

2. Homework Equations
heres where i am stuck!


3. The Attempt at a Solution
Hi all, I am unsure where to go with this one. I am guessing that i need to work out T2.T3.T4, but can't find in any of my notes where any of the γ or R come into play or how to get T2T3T4?. i have already calculated the work done for each stage in a previous part of the question so i have that. Just not too sure on where to go from here to calculate the efficiency of the cycle?
 
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