Basic thermo question: heat engine efficiency

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SUMMARY

Heat engine efficiency is influenced by the temperature of the operating environment, with engines performing more efficiently in hotter conditions. This is due to Newton's law of cooling, which indicates reduced heat transfer losses in warmer temperatures, leading to increased work output. The relationship between the hot reservoir (TH) and cold reservoir (TL) is crucial; as TL approaches TH, efficiency declines to zero. Understanding these thermodynamic principles clarifies that while colder environments may seem beneficial for heat transfer, they actually reduce overall engine efficiency.

PREREQUISITES
  • Basic understanding of thermodynamics, specifically the concepts of heat engines.
  • Familiarity with Newton's law of cooling.
  • Knowledge of heat transfer principles.
  • Concept of hot and cold reservoirs in thermodynamic cycles.
NEXT STEPS
  • Research the Carnot efficiency equation and its implications for heat engines.
  • Study the effects of ambient temperature on combustion efficiency in internal combustion engines.
  • Explore advanced thermodynamic cycles, such as the Brayton and Rankine cycles.
  • Learn about heat transfer methods and their impact on engine performance.
USEFUL FOR

Students studying thermodynamics, automotive engineers, and anyone interested in optimizing heat engine performance and efficiency.

Samky
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Is it strictly true that an engine will be more efficient if operating in a hotter environment... e.g. your car is more efficient in the summer than the winter? Just going through thermo 1, not a HW question, but it just seems to be true to me because the simple Newton's law of cooling says there will be less heat transfer and thermo says therefore there is more work output / less loss associated with the cycle.

Of course this doesn't take into account efficiency of fuel (for your car). I have no idea how it would affect combustion. Maybe next semester in chem I'll get a better idea ;)

Probably a simple question, but I'm curious :) Thanks.
 
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Interesting, so the TH or hot reservoir would be the heat we add to the engine though combustion. That means the TL or cold reservoir is the surrounding air. And we see by the equation that as TL -> TH the efficiency drops to zero.

This makes sense because if the combustion cannot add heat, then there is no work done.

Which means engines are more efficient the colder it is, due to a higher rate of heat transfer in (more heat to work with, more work produced so to speak).

So this means the Qout is unrelated to the reservoirs, it's simply what's left over that's not converted to work. While it's Qin that is directly related to the reservoirs. Seems I had it totally backwards :)

Thanks.
 
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