Abstract

SYNOPSIS The optimal configuration of the expansion process of a heated working fluid with convective-radiative heat transfer law, i.e. q ∞ Δ(T) + Δ(T4)is, determined. The optimal processes that maximise the work output of the working fluid with and without given final internal energy constraints are obtained, respectively, using optimal-control theory and the method of eliminating the volume variable V(t). It is shown that all the optimal processes consist of, at most, three stages, including an initial adiabatic branch, one intermediate Euler-Lagrange arc and a final adiabatic branch. The solutions of all state variables are obtained. Numerical examples of the optimal configurations are provided. The obtained results are compared with those obtained with Newtonian and radiative heat transfer laws.

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