Abstract
The present paper investigates analytically and numerically the magneto-hydrodynamic (MHD) mixed convection flow of nanofluid over a nonlinear stretching inclined transparent plate embedded in a porous medium under the solar radiation. The two-dimensional governing equations are obtained considering the dominant effect of boundary layer and also in presence of the effects of viscous dissipation and variable magnetic field. These equations are transformed by the similarity transformation to two coupled nonlinear transformed equations and then solved using a numerical implicit method called Keller-Box. The effect of various parameters such as nanofluid volume fraction, magnetic parameter, porosity, effective extinction coefficient of porous medium, solar radiation flux, plate inclination angle, diameter of porous medium solid particles and dimensionless Eckert, Richardson and Prandtl numbers have been studied on the dimensionless temperature and velocity profiles. Also the results are presented based on Nusselt number and Skin friction coefficient.
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Meisam Habibi Matin is a lecturer of Mechanical Engineering at Kermanshah University of Technology. He received his M.Sc. degree in 2011 from Amirkabir University of Technology, Tehran, Iran and B.Sc. degree in 2009 from Razi University, Kermanshah, Iran. His fields of interests include Micro-Nanofluidics, heat transfer, and CFD.
Reza Hosseini is an associate professor of Mechanical Engineering at Amirkabir University of Technology (Tehran Polytechnic). He received his Ph.D. in 1981 and M.Sc. degree in 1977 from Brunel University, London, U.K. and B.Sc. degree in 1971 from Ferdowsi University, Mashhad, Iran. His interests are heat transfer, radiation heat transfer, direct energy conversion and renewable energies.
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Matin, M.H., Hosseini, R. Solar radiation assisted mixed convection MHD flow of nanofluids over an inclined transparent plate embedded in a porous medium. J Mech Sci Technol 28, 3885–3893 (2014). https://doi.org/10.1007/s12206-014-0852-5
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DOI: https://doi.org/10.1007/s12206-014-0852-5