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

Igor Pažanin and Marko Radulović

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: 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.

Keywords: Darcy-Brinkman flow; Viscous dissipation; Asymptotic expansion; Higher–order effective model; Error estimates (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304380

DOI: 10.1016/j.amc.2020.125479

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