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Analytical investigation of heat transfer in Couette flow through a porous medium utilizing the Brinkman-Forchheimer-extended Darcy model. (English) Zbl 0914.76084
Summary: We investigate the combined problem of fluid flow and heat transfer in Couette flow through a rigid saturated porous medium. The fluid flow occurs due to a moving wall, and it is described by the Brinkman-Forchheimer-extended Darcy equation. Two heat transfer situations are considered: (A) isoflux-fixed wall and insulated moving wall, and (B) insulated fixed wall and isoflux-moving wall. We obtain analytical solutions for the flow velocity, temperature distribution, and for the Nusselt number.

76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI
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