Is the otto cycle more efficient than a diesel cycle with the same compression ratio?

Yes, Otto cycle is more efficient than a Diesel cycle with the same compression ratio.

Explanation:

An ideal Otto cycle models the behavior of an explosion engine. This cycle consists of six steps, as indicated in the figure. Prove that the performance of this cycle is given by the expression:

otto performance= 1 - ( 1/(r^(б-1) ) )

r =  compression ratio equal to the ratio between the volume at the beginning of the compression cycle and at the end of it.

б=1.4 exponent

A diesel engine can be modeled with the ideal cycle consisting of six reversible steps, as indicated in the figure. Prove that the performance of this cycle is given by the expression:

diesel performance= 1 - ( 1/(r^(б-1) ) ) × ( (r^б)-1 )/(б×(r-1)) )

The ideal Diesel cycle is distinguished from the ideal Otto in the combustion phase, which in the Otto cycle is assumed at constant volume and in the Diesel at constant pressure. Therefore the performance is different.

We see that the efficiency of a Diesel cycle differs from that of an Otto cycle by the factor in parentheses. This factor is always greater than the unit, therefore, for the same compression reasons r diesel performance is less than ottoperformance.

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