engleski

Effects of the viscous dissipation on the Darcy-Brinkman flow: rigorous derivation of the higher-order asymptotic model

We consider the non-isothermal fluid flow through a thin domain occupied by a saturated porous medium. The flow is governed by the Darcy-Brinkman system and the heat equation including the viscous dissipation term proposed by Al- Hadhrami et al. (2003). Using asymptotic analysis with respect to domain's thickness, a second-order asymptotic approximation of the problem is built. The formally derived model is rigorously justified via error estimate.

Darcy-Brinkman flow ; viscous dissipation ; asymptotic expansion ; higher-order effective model ; error estimates

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