Asymptotic Model of Free Convection Flow on a Vertical Surface in Porous Media with Newtonian Heating

Anna A. Bocharova; Irina V. Plaksina; Andrey A. Obushnyy

doi:10.4028/www.scientific.net/AMM.756.469

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 756Asymptotic Model of Free Convection Flow on a...

Asymptotic Model of Free Convection Flow on a Vertical Surface in Porous Media with Newtonian Heating

Abstract:

The mathematical model based on system of momentum and energy equations for free convection flow along a vertical surface in porous media under boundary conditions of the third sort is solved analytically using the method of matched asymptotic expansions. The region of validity for boundary layer model and expansions for stream function and temperature with parameter of perturbations were defined. The dependence of characteristic flow from governing dimensionless parameters and was analyzed numerically. The influence of viscous and convective terms of momentum equation in the proposed mathematical model significantly increases the rate of heat transfer on plate in porous media in comparison with Darsy flow model.

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Periodical:

Applied Mechanics and Materials (Volume 756)

Pages:

469-475

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.756.469

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Online since:

April 2015

Authors:

Anna A. Bocharova, Irina V. Plaksina, Andrey A. Obushnyy

Keywords:

Asymptotic Analysis, Free Convection, Porous Media

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References

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