Chapter 4.3, Problem 20P

Derive a formula for the efficiency of the Diesel cycle, in terms of the compression ratio ${\text{V}}_{\text{1}}/{\text{V}}_{\text{2}}$ and the cutoff ratio ${\text{V}}_{\text{3}}/{\text{V}}_{\text{2}}$. Show that for a given compression ratio, the Diesel cycle is less efficient than the Otto cycle. Evaluate the theoretical efficiency of a Diesel engine with a compression ratio of 18 and a cutoff ratio of 2.