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Non-Darcy natural convection from a vertical plate with a uniform wall temperature and concentration in a doubly stratified porous medium

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Abstract

In this paper, non-similarity solutions for natural convection heat and mass transfer along a vertical plate with a uniform wall temperature and concentration in a doubly stratified porous medium saturated by a fluid are obtained. The Darcy–Forchheimer-based model is employed to describe the flow in the porous medium. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by using pseudo-similarity variables. The resulting system of nonlinear partial differential equations is then solved numerically by using the Keller-box method. The effects of the buoyancy parameter, Forchheimer number, and thermal and solutal stratification parameters on the dimensionless velocity, temperature, concentration, and heat and mass transfer coefficients are studied.

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Correspondence to D. Srinivasacharya.

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Original Russian Text © D. Srinivasacharya, O. Surender.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 4, pp. 60–71, July–August, 2015.

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Srinivasacharya, D., Surender, O. Non-Darcy natural convection from a vertical plate with a uniform wall temperature and concentration in a doubly stratified porous medium. J Appl Mech Tech Phy 56, 590–600 (2015). https://doi.org/10.1134/S0021894415040069

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  • DOI: https://doi.org/10.1134/S0021894415040069

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