Abstract

AbstractThis work is concerned with a steady 2D laminar MHD mixed convective flow of an electrically conducting Newtonian fluid with low electrical conductivity along with heat and mass transfer on an isothermal stretching semi-infinite inclined plate embedded in a Darcy porous medium. Along with a strong uniform transverse external magnetic field, the Soret effect is considered. The temperature and concentration at the wall are varying with distance from the edge along the plate, but it is uniform at far away from the plate. The governing equations with necessary flow conditions are formulated under boundary layer approximations. Then a continuous group of symmetry transformations are employed to the governing equations and boundary conditions which determine a set of self-similar equations with necessary scaling laws. These equations are solved numerically and similar velocity, concentration, and temperature for various values of involved parameters are obtained and presented through graphs. The momentum boundary layer thickness becomes larger with increasing thermal and concentration buoyancy forces. The flow boundary layer thickness decreases with the angle of inclination of the stretching plate. The concentration increases considerably for larger values of the Soret number and it decreases with Lewis number. The skin friction coefficient increases for increasing angle of inclination of the plate, magnetic and porosity parameters, however it decreases for rise of thermal and solutal buoyancy parameters. In this double diffusive boundary layer flow, Nusselt and Sherweed numbers increase for rise of thermal and solutal buoyancy parameters, Prandtl number, but they behave opposite nature in case of angle of inclination of the plate, magnetic and porosity parameters. The Sherwood number increases for increasing Lewis number but it decreases for increasing Soret number.

Highlights

  • This work is concerned with a steady 2D laminar MHD mixed convective ow of an electrically conducting Newtonian uid with low electrical conductivity along with heat and mass transfer on an isothermal stretching semi-in nite inclined plate embedded in a Darcy porous medium

  • We demonstrate symmetry analysis which determines invariant solutions via invariance principles of continuous group of transformations operating on the independent and dependent variables of equations (7), (8), (9) along with the boundary conditions (10) and (11). (See the books Cantwell [17], Layek [18], Blueman and Kumei [19])

  • The double-di usive boundary layer ow of an electrically conducting uid along a stretching inclined plate embedded in a Darcy porous medium is investigated

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Summary

Introduction

Abstract: This work is concerned with a steady 2D laminar MHD mixed convective ow of an electrically conducting Newtonian uid with low electrical conductivity along with heat and mass transfer on an isothermal stretching semi-in nite inclined plate embedded in a Darcy porous medium. Saritha et al [29], pioneered boundary layer ow with heat and mass transfer of a power-law uid over a porous at plate taking Soret and Dufour e ects.

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