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Hooman, K.; Ranjbar-Kani, A. A.

A perturbation-based analysis to investigate forced convection in a porous saturated tube. (English) Zbl 1035.76046

J. Comput. Appl. Math. 162, No. 2, 411-419 (2004).
Summary: Fully developed laminar steady forced convection inside a circular tube filled with saturated porous medium and with uniform heat flux at the wall is investigated on the basis of a Brinkman model which is appropriate for hyperporous materials which are of current practical importance. The WKB method is applied for small values of Darcy number. For the case of large Darcy number, the solution for Brinkman momentum equation is found in terms of an asymptotic expansion. With the velocity distribution determined, the energy equation is solved using the same asymptotic technique. The results for limiting cases are in good agreement with those available in the literature.

Cited in 6 Documents

MSC:

76R05 Forced convection
76S05 Flows in porous media; filtration; seepage
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)

Keywords:

uniform heat flux; hyperporous materials; WKB method; small Darcy numbers; large Darcy number; Brinkman momentum equation; asymptotic expansion; velocity distribution; energy equation
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References:

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