Abstract
An investigation is carried out to analyze the unsteady MHD free convection, heat and mass transfer flow of a Newtonian fluid past an infinite vertical porous plate with homogeneous chemical reaction and heat absorption/generation. A uniform magnetic field is applied perpendicular to the plate. The non-dimensional governing equations are solved numerically by using finite difference method. The effects of various parameters governing the flow on velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are studied through graphs. It is noticed that velocity decreases with an increase in Magnetic field while it increases with an increase in Grashof number, modified Grashof number& Permeability parameter. Temperature increases with an increase in heat absorption and it shows reverse effect in the case of heat generation and Prandtl number. Concentration decreases with increase in Schmidt number and chemical reaction parameter.
Highlights
The analysis of hydro magnetic convection flow involving heat and mass transfer in porous medium has attracted the attention of many scholars because of its possible applications in diverse fields of science and technology such as soil sciences, astrophysics, Geophysics, nuclear power reactors etc
The geothermal region gases are electrically conducting and undergo the influence of magnetic field. It has applications in nuclear engineering in connection with reactors cooling. The interest in this field is due to the wide range of applications in engineering and geophysics, such as the optimization of the solidification processes of metals and metal alloys, the study of geothermal sources, the treatment of nuclear fuel debris, the control of underground spreading of chemical wastes and pollutants and the design of MHD power generators
Many papers concerned with the problem of MHD free convection flow in porous media have been published in the literature
Summary
The analysis of hydro magnetic convection flow involving heat and mass transfer in porous medium has attracted the attention of many scholars because of its possible applications in diverse fields of science and technology such as soil sciences, astrophysics, Geophysics, nuclear power reactors etc. Seth and Ansari (2010) analyzed MHD natural convection flow past an impulsively Moving vertical plate with ramped wall temperature in the presence of thermal diffusion with heat absorption. Seth et al (2013) studied effects of thermal radiation and rotation on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium. Seth et al (2014b) investigated effects of Hall current and rotation on unsteady MHD natural convection flow with heat and mass transfer past an impulsively moving vertical plate in the presence of radiation and chemical reaction. Based on the above studies we have considered the unsteady MHD free convection, heat and mass transfer flow of a Newtonian fluid past an infinite vertical porous plate with homogeneous chemical reaction and heat absorption/generation. We have extended the work of Kaprawi (2015) with the novelty of considering heat source, chemical reaction, porous permeability, magnetic field parameter and mass transfer
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