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Date: 4-9-2016
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Diesel Cycle
Calculate the efficiency of the Diesel cycle, consisting of two adiabats, 1→2 and 3→4, one isobar 2→3, and one constant-volume process 4→1 (see Figure 1.1). Assume CV and CP are constant.
Figure 1.1
SOLUTION
We calculate the efficiency η = W/Q. The work W in
the cycle (see Figure 1.2) is
(1)
where we have again used the ideal gas law PV = nRT and nR = CP - CV. The heat Q absorbed by the gas during 2 → 3 is
(2)
The efficiency is
(3)
Using the equation for the adiabats gives
(4)
Figure 1.2
The ideal gas law gives
(5)
Substituting (4) and (5) into (3) gives
(6)
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