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Exact analytical solution for a thermal boundary layer in a saturated porous medium. (English) Zbl 1154.76049

Summary: We consider the forced convection thermal boundary layer in a porous medium as an analytically tractable special case of a mixed convection problem. It is shown that some general features of the mixed convection solutions reported recently by other authors [B. Brighi and J.-D. Hoernel, Appl. Math. Lett. 19, No. 1, 69-74 (2006; Zbl 1125.34005); M. Guedda, Appl. Math. Lett. 19, No. 1, 63–68 (2006; Zbl 1125.34006)] can already be recovered from this exactly solvable case.

MSC:

76R05 Forced convection
76S05 Flows in porous media; filtration; seepage
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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References:

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