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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i3.70
pages 269-278

EFFECT OF THERMAL RADIATION ON NON-DARCY NATURAL CONVECTION FROM A VERTICAL CYLINDER EMBEDDED IN A NANOFLUID POROUS MEDIA

S.M.M. EL-Kabeir
Department of Mathematics, Salman bin Abdulaziz University, College of Science and Humanity Studies, Al-Kharj, 11942, Saudi Arabia; Department of Mathematics, Aswan University, Faculty of Science, 81528, Egypt
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021
Ahmed M. Rashad
Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt

RÉSUMÉ

The objective of the present work is to investigate theoretically the effects of thermal radiation and the nonlinear Forchheimer terms on boundary-layer flow and heat transfer by non-Darcy natural convection from a vertical cylinder embedded in a porous medium saturated with nanofluids. A model is developed to analyze the behavior of nanofluids taking into account the solid volume fraction parameter. The cylinder surface is maintained at a constant temperature and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The resulting governing equations are nondimensionalized and transformed into a nonsimilar form and then solved numerically by an efficient implicit finite-difference method. Comparisons with previously published work are performed and excellent agreement is obtained. A parametric study of the physical parameters is conducted and a representative set of numerical results for the velocity, temperature profiles, and the local Nusselt number is illustrated graphically to show interesting features of the solutions.


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