A Diesel cycle has the following parts: isobaric expansion (AB), adiabatic expan

Question

A Diesel cycle has the following parts: isobaric expansion (AB), adiabatic expansion(BC), isochoric (CD), adiabatic compression (DA). On the first part of the cycle, the volume expansion is Volume of B point = alpha* Volume of A point. On the last part of the cycle, the gas is compressed with Volume of point D =beta* Volume of point A.

The quantity alpha is called the cut-off ratio. The quantity beta is called the compression ratio. Explicitly calculate the efficiency of a Diesel cycle in terms of alpha and beta.

The answer is e=1-(1/sigma*beta^sigma-1)(alpha^sigma -1 / alpha - 1)

I already know the anser, but I need more detail explaination !!!!!

Explanation / Answer

Air-standard analysis of the Diesel cycle follows a similar procedure to that of the Otto cycle with one important difference. In the Diesel cycle, combustion is not initiated by a spark but by spraying fuel directly into the hot compressed air in the cylinder. Thus rather than the combustion process being isometric (constant volume), it is more accurately modeled as a constant pressure process which continues until fuel injection is terminated, a point known as

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