MIXED CONVECTION FLOW IN A VERTICAL POROUS CHANNEL WITH BOUNDARY CONDITIONS OF THE THIRD KIND WITH HEAT SOURCE/SINK

Jawali C. Umavathi; J. Prathap Kumar; Jaweriya  Sultana

doi:10.1615/JPorMedia.v15.i11.10

Journal of Porous Media

Editor en Jefe: Kambiz Vafai (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1091-028X

ISSN En Línea: 1934-0508

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MIXED CONVECTION FLOW IN A VERTICAL POROUS CHANNEL WITH BOUNDARY CONDITIONS OF THE THIRD KIND WITH HEAT SOURCE/SINK

Volumen 15, Edición 11, 2012, pp. 989-1007

DOI: 10.1615/JPorMedia.v15.i11.10

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Jawali C. Umavathi
Department of Mathematics, Gulbarga University, Gulbarga-585 106, Karnataka, India

J. Prathap Kumar
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India

Jaweriya Sultana
Department of Mathematics, Gulbarga University, Gulbarga 585 106, Karnataka, India

SINOPSIS

A numerical study of mixed convection in a vertical channel filled with a porous medium, including the effects of inertia forces, is studied by taking into account the effects of viscous and Darcy dissipations with heat source or sink. The flow is modeled using the Brinkman Forchheimer−extended Darcy equations. The plate exchanges heat with an external fluid. Both conditions of equal and of different reference temperatures of the external fluid are considered. The governing equations are solved using Runge−Kutta fourth-order method with shooting technique for extended Darcy model and analytically using the perturbation series method for the Darcy model. The velocity and temperature fields are obtained for various porous parameters, inertia effect, and perturbation parameters for equal and unequal Biot numbers and are shown graphically. It is also found that both analytical and numerical solutions agree to a great extent with the small values ofthe perturbation parameter in the absence ofinertial forces.

PALABRAS CLAVE: mixed convection, perturbation method, Runge&minus, Kutta method, porous medium, boundary conditions of the third kind

CITADO POR

Selvi R.K., Muthuraj R., MHD oscillatory flow of a Jeffrey fluid in a vertical porous channel with viscous dissipation, Ain Shams Engineering Journal, 9, 4, 2018. Crossref
Nield Donald A., Bejan Adrian, Mixed Convection, in Convection in Porous Media, 2017. Crossref
Umavathi Jawali C., Sheremet Mikhail A., Buonomo Bernardo, Manca Oronzio, Convection in a vertical duct under the chemical reaction influence using Robin boundary conditions, Thermal Science and Engineering Progress, 15, 2020. Crossref
Umavathi J. C., Anwar Bég O., Mathematical Modelling of Triple Diffusion in Natural Convection Flow in a Vertical Duct with Robin Boundary Conditions, Viscous Heating, and Chemical Reaction Effects, Journal of Engineering Thermophysics, 29, 2, 2020. Crossref
Umavathi J.C., Buonomo Bernardo, Manca Oronzio, Sheremet Mikhail A., Heat transfer of chemically reacting mixed convection fluid using convective surface condition: Non-Darcy model, Thermal Science and Engineering Progress, 25, 2021. Crossref
Leela V., Prasannakumara B. C., Shilpa B, Gangadhara Reddy R, Computational analysis of ohmic and viscous dissipation effects on MHD mixed convection flow in a vertical channel with linearly varying wall temperatures, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2022. Crossref

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