Analysis, approximation, and computation of a coupled solid/fluid temperature control problem Original Research Article

An optimization problem is formulated motivated by the desire to remove temperature peaks, i.e., “hot spots”, along the bounding surfaces of containers of fluid flows. The heat equation of the solid container is coupled to the energy equation for the fluid. Heat sources can be located on the solid body, the fluid, or both. Control is effected by adjustments to the temperature of the fluid at the inflow boundary. Both mathematical analyses and computational experiments are given.