Efficiency of a Heat Engine

  • Thread starter TFM
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  • #36
TFM
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I am also assuming that the nR can cancel, so:

[tex] P_1(v_1\frac{v_1^{\gamma - 1}}{v_3^{\gamma - 1}} - V_3)}{V_3(P_1 - P_3 \frac{V_3^{\gamma - 1}}{v_1^{\gamma - 1}})} [/tex]

Does this look right?
 
  • #37
Redbelly98
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To be honest I have lost track. However, it would be desirable to simplify the term
v1 v1γ-1
The idea is, once you have an expression for the efficiency, for you to manipulate and simplify it algebraically and get

[tex]
e = 1 - \frac{1}{\gamma}\left(\frac{1 - \frac{p_3}{p_1}}{1 - \frac{v_1}{v_3}}\right)
[/tex]​

which, as I had mentioned earlier, has a typo corrected from what was given in Post #1 (v1/v3 instead of v3/v1).
 
  • #38
TFM
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Oops, my Latex went a bit wrong. it should have been:

[tex] \frac{P_1(v_1\frac{v_1^{\gamma - 1}}{v_3^{\gamma - 1}} - V_3)}{V_3(P_1 - P_3 \frac{V_3^{\gamma - 1}}{v_1^{\gamma - 1}})} [/tex]
 

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