Topology optimization by homogenization design method has made successful results in the structural design. The idea can be extended to find an optimal structure which interacts with fluid flow, which is coupled to energy conservation. From the fact that an initial design domain is a type of black box composed of repetitions of unit microcells, analysis of a fluid flow through porous media is to be accomplished. Newly developed unit cell structure makes fluid run through a void area in the microcell. The fluid flow is governed by Darcy’s law which is theoretically derived by applying homogenization theory to momentum and continuity equation while assuming inertia-less viscous flow. A sequential linear programming is implemented to converge a final structure as an optimum.

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