Abstract
This paper analyzes the laminar, incompressible natural convective transport inside vertical channel in an electrically conducting fluid saturated porous medium. In addition, this model incorporates the combined effects of Hall current, Soret and Joule heating. The non-linear governing equations with their corresponding boundary conditions are initially cast into a dimensionless form by using suitable transformations and Adomian decomposition method has been used to solve the system of equations. To explore the influence of various parameters on fluid flow properties, quantitative analysis is exhibited graphically and shown in the tabular form.
Highlights
Considerable attention has been paid to the immense investigation of natural convection flow saturated porous medium due to its diverse application in engineering and industrial process such as dispersion of fog, solar energy collecting devices, air conditioning of a room, material processing, cooling of molten metals, petroleum industries, moisture transport in thermal insulation etc
The non-linear governing equations with their corresponding boundary conditions are initially cast into a dimensionless form by using suitable transformations and Adomian decomposition method has been used to solve the system of equations
With the influence of magnetic field on natural convection flow of a power law fluid in a porous medium with stratification, Dufour and Soret effects has been reported by Srinivasacharya et al [7]
Summary
Considerable attention has been paid to the immense investigation of natural convection flow saturated porous medium due to its diverse application in engineering and industrial process such as dispersion of fog, solar energy collecting devices, air conditioning of a room, material processing, cooling of molten metals, petroleum industries, moisture transport in thermal insulation etc. Math Sci (2016) 10:139–148 convection flow of an electrically conducting fluid through a porous medium in a vertical channel with effects of thermal radiation, thermal diffusion and Hall current has been reported by Manglesh and Gorla [12]. The present investigation carries out the electrically conducting natural convection in a vertical porous medium with the influence of thermal diffusion, Hall current and Joule heating effects. The additional force in the z-direction is generated due to the effect of Hall current, which gives rise to a cross flow the flow becomes three dimensional In this present study, the magnetic Reynolds number is very small with that the induced magnetic field has been neglected in comparison with the applied magnetic field. For the complete solution of equations above a1; a2; a3; a4; a5; a6; a7 and a8 should be determined, with boundary conditions
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