Efficiency of Irreversible Engine

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Discussion Overview

The discussion centers on the efficiency of irreversible engines compared to reversible engines, particularly under varying source and sink temperatures. Participants explore theoretical implications and definitions of efficiency in thermodynamic systems.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions whether an irreversible engine can achieve greater efficiency than a reversible engine when operating under different temperature conditions.
  • Another participant suggests that if efficiency is measured by usable energy harvested per unit of heat transferred, an irreversible engine could be more efficient with a large temperature ratio.
  • Some participants assert that the efficiency of a reversible engine is always 1, while an irreversible engine's efficiency is constrained between 0 and 1, leading to the conclusion that reversible engines are generally more efficient.
  • There is a reference to a definition provided by a participant (jbriggs444), which states that reversible engines maximize heat energy conversion to work, contrasting with irreversible engines that convert less heat energy.
  • One participant acknowledges the potential for an unfair advantage in comparing efficiencies if the temperature differences between reservoirs are not equal.

Areas of Agreement / Disagreement

Participants express disagreement regarding the conditions under which irreversible engines might be considered more efficient than reversible engines. There is no consensus on the implications of different temperature conditions on engine efficiency.

Contextual Notes

Participants reference definitions of efficiency that may depend on specific assumptions about the engines' operating conditions and the nature of the heat reservoirs involved.

Arvind22
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I have a small confusion that can an irreversible engine have greater efficiency than reversible engine if both have different source and sink temperatures?I know that under same conditions reversible engines are more efficient but what can be concluded under different conditions like both engines have different source and sink.
 
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If you measure "efficiency" in terms of amount of usable energy harvested per unit of heat transferred then, yes, an irreversible heat engine operating on reservoirs with a large temperature ratio can be more "efficient" than a reversible heat engine operating on reservoirs with a temperature ratio closer to 1:1.
 
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If you consider efficiency(η) in terms of ratio of heat energy converted to work per heat energy derived from source. Then efficiency of reversible engine will always be 1, whereas in irreversible engine, the total heat energy will not be able to convert to work, since there may be many chances where heat derived may be dissipated. So the efficiency of irreversible engine(η) will between 0< η <1. Whatever be the temperatures.
It means, η(r) > η(I)
 
Gopal Mailpalli said:
If you consider efficiency(η) in terms of ratio of heat energy converted to work per heat energy derived from source. Then efficiency of reversible engine will always be 1, whereas in irreversible engine, the total heat energy will not be able to convert to work, since there may be many chances where heat derived may be dissipated. So the efficiency of irreversible engine(η) will between 0< η <1. Whatever be the temperatures.
It means, η(r) > η(I)
This is at odds with what jbriggs444 said in his post. Also, according to the definition that you gave, it is well known that the efficiency of a reversible engine operating in a cycle is less than 1.

I therefore agree with jbriggs444.
 
Chestermiller said:
This is at odds with what jbriggs444 said in his post. Also, according to the definition that you gave, it is well known that the efficiency of a reversible engine operating in a cycle is less than 1.

I therefore agree with jbriggs444.
Based on the jbriggs444 definition, a reversible engine uses maximum amount of heat energy to work per unit of heat transferred, whereas in irreversible engine it uses less heat energy per unit heat energy transferred. In general efficiency of reversible engines is always greater than irreversible engine.
 
Gopal Mailpalli said:
Based on the jbriggs444 definition, a reversible engine uses maximum amount of heat energy to work per unit of heat transferred, whereas in irreversible engine it uses less heat energy per unit heat energy transferred. In general efficiency of reversible engines is always greater than irreversible engine.
That is correct if the comparison is fair. But the original post here contemplated a comparison where the irreversible engine can be given an unfair advantage -- working from a pair of reservoirs with a different temperature difference.
 
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