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Exact similarity solutions for forced convection flow over horizontal plate in saturated porous medium with temperature-dependent viscosity

Abstract : In this paper, we revisit a mathematical model representing a two-dimensional forced convection boundary-layer flow over a horizontal impermeable plate with a variable heat flux and viscosity. It is assumed that the fluid viscosity varies as an inverse linear function of temperature, the free stream velocity varies as an inverse linear of x and the wall heat flux varies with x as x.; where lambda > -1 and x measures the distance along the surface. Analytical local similarity solutions are presented which reveal that there are two competing effects: lambda and theta(e); where theta(e) is the variable viscosity parameter. It has been shown that for.e > 0 dual solutions exist and boundary separation occurs, while a unique local similarity solution exists for any theta(e) < 0.
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https://hal-u-picardie.archives-ouvertes.fr/hal-03621265
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Soumis le : lundi 28 mars 2022 - 10:01:40
Dernière modification le : mercredi 31 août 2022 - 11:24:23

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Mohammed Guedda, M. Benlahsen, M. Sriti, D. Achemlal. Exact similarity solutions for forced convection flow over horizontal plate in saturated porous medium with temperature-dependent viscosity. The European Physical Journal Plus, Springer, 2017, 132 (9), ⟨10.1140/epjp/i2017-11652-0⟩. ⟨hal-03621265⟩

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