Abstract
The cycle equations for hypergolic reciprocating engines are derived from basic thermodynamic principles. The calculus of variations is applied in order to obtain optimum design parameters using the criterion of a minimum specific expendables consumption. A numerical scheme is used to solve a resulting set of nonlinear equations and calculated results are presented. The results indicate that the optimum design parameters depend strongly on the pressure ratio and weakly on the ratio of specific heats of the working fluid. The optimum value of the specific expendables consumption is related to the pressure ratio in a hyperbolic fashion. Provided that the design point is in the neighborhood of the optimum point, nonoptimum designs will not suffer severely in performance.
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