Question

Air in an ideal Diesel cycle is compressed from 4 L to 0.25 L, and then it expands during the constant pressure heat addition process to 0.50 L. Under cold air standard conditions, determine the thermal efficiency of this cycle.

Answer 1

Under cold air standard conditions, Then the thermal efficiency of this cycle is 61.38%.

n= 1- ((a^x)-1)/(x*e^(x-1) *(a-1)

n=thermal efficiency

e=compression ratio= v1/v2

a=cut off ratio=V3/V2

x=Cp/Cv=1.4 for air

v1=4L

v2=0.25L

v3=0.5 L

e= 4/0.25=16

a= 0.5/0.25 =2

n= 1- ((2^1.4)-1)/(1.4*16^(1.4-1) *(2-1) = .6138 = 61.38%

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