Abstract
A method of solving the Brinkman equation, using Cartesian tensors, is developed. General expressions for the velocity vector and the pressure, which can directly be used in situations where boundary conditions are expressible in Cartesian-tensor form, are obtained. It is shown how the drag on a porous sphere can be directly and easily calculated using this method.
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Yu, Q., Kaloni, P.N. A cartesian-tensor solution of the Brinkman equation. J Eng Math 22, 177–188 (1988). https://doi.org/10.1007/BF02383599
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DOI: https://doi.org/10.1007/BF02383599