Solar radiation assisted mixed convection MHD flow of nanofluids over an inclined transparent plate embedded in a porous medium

• Published in: Journal of mechanical science and technology Vol. 28; no. 9; pp. 3885 - 3893
• Main Authors: Matin, Meisam Habibi, Hosseini, Reza
• Format: Journal Article
• Language: English
• Published: Seoul Korean Society of Mechanical Engineers 01.09.2014; Springer Nature B.V; 대한기계학회
• Subjects: Control; Dynamical Systems; Engineering; Industrial and Production Engineering; Magnetohydrodynamics; Mathematical analysis; Mathematical models; Mechanical Engineering; MHD; Nanofluids; Nanostructure; Nonlinearity; Porous media; Solar radiation; Vibration; 기계공학; MHD; Mixed convection; Solar radiation; Nanofluid; Transparent plate; Porous medium
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/s12206-014-0852-5

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.