Optimal paths for minimizing entropy generation in a common class of finite-time heating and cooling processes

Abstract

For a common class of finite-time heat transfer processes, we derive optimal heating and cooling strategies for minimizing entropy generation. Solutions pertain to a generalized heat transfer law, and are illustrated quantitatively for cases of practical interest, including Newtonian and radiative heat transfer. Optimal paths are compared with the common strategies of constant heat flux and constant source (reservoir) temperature operation, including evaluation of the savings in entropy generation and the relative requirements for installed heating/cooling capacity.