Thermal efficiency of a Diesel engine

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SUMMARY

The discussion centers on the thermal efficiency of a Diesel engine, specifically addressing the first law of thermodynamics as it applies to the Diesel cycle. The correct formulation of the first law is ΔU = Q - W, indicating that the change in internal energy (ΔU) is equal to the heat added to the system (Q) minus the work done by the system (W). The negative sign in the equation Qout = -mcv(T1-T4) reflects the convention that work done by the system is considered positive, necessitating a negative sign for heat rejection during the isochoric process.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Familiarity with the Diesel cycle and its processes
  • Knowledge of internal energy concepts
  • Basic principles of heat transfer and work in thermodynamic systems
NEXT STEPS
  • Study the Diesel cycle and its thermal efficiency calculations
  • Learn about the implications of the first law of thermodynamics in various thermodynamic cycles
  • Explore isochoric processes and their significance in heat engines
  • Investigate the impact of work and heat transfer on internal energy changes
USEFUL FOR

Students studying thermodynamics, mechanical engineers focusing on engine design, and professionals interested in optimizing Diesel engine performance.

xJJx
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Hi, i’m learning about the thermal efficiency of a diesel cycle at university and I'm trying to understand the equation. The first law of thermodynamics states Wnet + Qnet = 0, but one of the attachments below says Qnet - Wnet = 0 and I don't understand how this is the case. Also, for process 4-1 (isochoric heat rejection), it says that Qout = -mcv(T1-T4); I don't get why the minus is there. Can anyone explain why? Thank you.
 

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xJJx said:
The first law of thermodynamics states Wnet + Qnet = 0
That's not what the first law says. It says that ΔU = Q - W: any change in the internal energy of a system must come from heat entering/leaving the system or work done on/by the system. The convention used here is that positive W is the work done by the system, hence the negative sign.
 

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