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Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
Том 22, 2019 Том 21, 2018 Том 20, 2017 Том 19, 2016 Том 18, 2015 Том 17, 2014 Том 16, 2013 Том 15, 2012 Том 14, 2011 Том 13, 2010 Том 12, 2009 Том 11, 2008 Том 10, 2007 Том 9, 2006 Том 8, 2005 Том 7, 2004 Том 6, 2003 Том 5, 2002 Том 4, 2001 Том 3, 2000 Том 2, 1999 Том 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v18.i6.20
pages 569-584

EFFECT OF THERMAL RADIATION ON MIXED CONVECTION FLOW OF A NANOFLUID ABOUT A SOLID SPHERE IN A SATURATED POROUS MEDIUM UNDER CONVECTIVE BOUNDARY CONDITION

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
M. Modather
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
Ahmed M. Rashad
Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt

Краткое описание

This work focuses on the numerical modeling of a steady mixed convection boundary layer flow of a nanofluid about a solid sphere embedded in a porous medium with convective surface in the presence of the thermal radiation effect using the Brinkman-extended Darcy model. A model is developed to analyze the behavior of nanofluids, taking into account the nanoparticle volume fraction parameter, and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. An appropriate transformation is employed, and the transformed equations are solved numerically using an efficient implicit iterative tri-diagonal finite difference method. Comparisons to previously published works are performed, and the results are found to be in excellent agreement. A parametric study of the physical parameters is conducted, and a representative set of numerical results for the velocity and temperature profiles as well as the local skin-friction coefficient and local Nusselt number are illustrated graphically to show interesting features of the solutions. It is concluded that both the local skin-friction coefficient and local Nusselt number decreased due to increases in Darcy number, while they are increased as in either the mixed convection parameter, Biot number, or thermal radiation parameter increase. In addition, an increase in the values of the nanoparticle volume fraction produced enhances in the local skin friction and reductions in the local Nusselt number.


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