Abstract
We present a new topology optimization problem formulation for conjugate heat transfer problems based on minimizing temperature subject to mass flow constraints on the flow of a cooling medium and show well-posedness of the continuum problem. A version of the problem augmented with a lower bound on the stiffness of the designs is considered in numerical examples loosely based on a real design case for a gas turbine part. The numerical examples indicate that the proposed problem formulation can be used to obtain designs which are useful from an engineering perspective.
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