Lie Symmetry Analysis of a Double-Diffusive Free Convective Slip Flow with a Convective Boundary Condition Past a Radiating Vertical Surface Embedded in a Porous Medium
A.A. Afify1,2, Md.J. Uddin3
1Qassim University, Buraidah, 51452, Saudi Arabia
2Helwan University, Ain Helwan, Cairo, 11795, Egypt
3American International University-Bangladesh, Banani, Dhaka, 1213, Bangladesh
Keywords: группы Ли, групповой анализ, тепло- и массообмен, пористая среда, течение с проскальзыванием, конвективные граничные условия, Lie group analysis, heat and mass transfer, porous medium, slip flow, convective boundary condition
Abstract
A numerical study of a steady two-dimensional double-diffusive free convection boundary layer flow over a vertical surface embedded in a porous medium with slip flow and convective boundary conditions, heat generation/absorption, and solar radiation effects is performed. A scaling group of transformations is used to obtain the governing boundary layer equations and the boundary conditions. The transformed equations are then solved by the fourth- and fifth-order Runge--Kutta--Fehlberg numerical method with Maple 13.The results for the velocity, temperature, and concentration profiles, as well as the skin friction coefficient, the Nusselt number, and the Sherwood number are presented and discussed.
DOI: 10.1134/S0021894416050217
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