Optimal control of forced convection heat transfer using reverse analysis

Abstract

This paper shows a method to inversely solve the forced convection heat transfer problem. The method is based on the adjoint formulation, in which the heat flow of thermal field is reversed in both time and space. Then we can obtain the optimal thermal boundary conditions for heat transfer characteristics. As an application of the numerical solution of the adjoint problem, we show the optimal control of forced convection heat transfer under unsteady thermal boundary conditions in a two-dimensional enclosure.