A theoretical analysis of forced convection in a porous-saturated circular tube: Brinkman–Forchheimer model |
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Authors: | K Hooman H Gurgenci |
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Institution: | (1) School of Engineering, The University of Queensland, Brisbane, Australia |
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Abstract: | Fully developed 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–Forchheimer model. The matched asymptotic expansion method is applied
at small Darcy numbers. For large Darcy numbers, the solution for the Brinkman–Forchheimer momentum equation is found in terms
of an asymptotic expansion. Once the velocity distribution is determined, the energy equation is solved using the same asymptotic
technique. The results for the two limiting cases of clear fluid and Darcy flow conditions show good agreement with those
available in the literature. |
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Keywords: | Forced convection Porous media Pipe flow Brinkman– Forchheimer model |
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