Abstract

The objective of the present study is to examine the fully developed free convective MHD flow of an electrically conducting viscous incompressible fluid in a vertical porous channel under influence of asymmetric wall temperature and concentration in the presence of chemical reaction. The heat and mass transfer coupled with diffusion-thermo effect renders the present analysis interesting and curious. The analytical solution by Laplace transform technique of partial differential equations is used to obtain the expressions for the velocity, temperature, and concentration. It is observed that under the influence of dominating mass diffusivity over thermal diffusivity with stronger Lorentz force the velocity is reduced at all points Further, low rate of thermal diffusion delays the attainment of free stream state. Flow of aqueous solution in the presence of heavier species is prone to back flow.

Highlights

  • In many transport processes and industrial applications, transfer of heat and mass occurs simultaneously as a result of combined buoyancy effects of thermal diffusion and diffusion of chemical species

  • The objective of the present study is to extend the work of Jha and Ajibade [1] by incorporating the permeability and the magnetic field effect as well as chemical reaction on the flow, heat and mass transfer phenomena

  • Let us consider the free convective heat and mass transfer MHD flow of a viscous incompressible fluid in a vertical porous channel formed by two infinite vertical parallel porous plates in the presence of chemical reaction

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Summary

Introduction

In many transport processes and industrial applications, transfer of heat and mass occurs simultaneously as a result of combined buoyancy effects of thermal diffusion and diffusion of chemical species. Gebhart and Pera [14] studied the effects of mass transfer on a steady free convection flow past a semiinfinite vertical plate by the similarity method and it was assumed that the concentration level of the diffusing species in fluid medium was very low. This assumption enabled them to neglect the diffusion-thermo and thermo-diffusion effects as well as the interfacial velocity at the wall due to species diffusion. The objective of the present study is to extend the work of Jha and Ajibade [1] by incorporating the permeability and the magnetic field effect as well as chemical reaction on the flow, heat and mass transfer phenomena

Mathematical Formulation
Solution of the Problem
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Results and Discussion
Conclusion
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