Clausius inequality - thermodynamics, Mechanical Engineering

Clausius inequality - thermodynamics:

Whenever closed system undergoes cyclic process, cyclic integral156_Clausius inequality.pngis less than zero (that is negative) for an irreversible cyclic process and equal to zero for a reversible cyclic process. 

The efficiency of reversible H.E. operating within temperature T1 & T2 can be given by:

925_Clausius inequality1.png

or156_Clausius inequality.png for a reversible engine.                                                                                                  .......(i)

 

Now efficiency of irreversible H.E. operating within same temperature limit T1 and T2 can be given by

2143_Clausius inequality2.png

Combining equation (i) and (ii); we get
156_Clausius inequality.png  d ≤ 0
The equation for irreversible cyclic process can be written as:
156_Clausius inequality.png  + 1 = 0
I = Amount of irreversibility of cyclic process.

Posted Date: 10/15/2012 3:25:48 AM | Location : United States







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