Abstract

Casson Fluid Flow and Mass Transfer along a Porous Medium using Perturbation Method

Omokhuale, E. and 2Altine, M. M.

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Abstract In this study, the influence of some thermo-physical quantities of engineering interest on unsteady natural convective boundary layer flow of a non-Newtonian fluid accompanied by mass transfer along an infinite vertical plate is considered. Casson fluid model is used to describe the non-Newtonian fluid behavior. The Rosseland approximation is employed for the energy equation. The governing partial differential equations are converted into a set of non-linear coupled partial differential equations in dimensionless form using some suitable variables. Furthermore, these equations were solved analytically by Perturbation technique to obtain their approximate solutions. Finally, we examined the influence of the non-dimensional quantities on the flow field through graphs and Tables. Results indicate that as Casson parameter becomes significant the momentum boundary layer thickness becomes shorter. This is because of the plasticity of the fluid. An excellent agreement was also found when the results obtained in this study was compared with the previous literature to check the accuracy. Keywords: Natural convection; Chemical reaction; Casson Fluid; Perturbation method; Heat and Mass transfer. Nomenclature are components of velocities are dimensionless components of velocities is scale of suction velocity are distance along axes is non-dimensional distance is dimensional time is non-dimensional time is dimensional permeability parameter is non-dimensional permeability parameter is acceleration due to gravity is Fluid temperature is Species Concentration is Magnetic field is diffusion coefficient is thermal conductivity is specific heat at constant pressure is dimensional chemical reaction parameter is temperature at the wall is temperature at infinity is species concentration at the wall is species concentration at infinity is Prandtl number is Schmidt number is thermal Grashof number is mass Grashof number is magnetic parameter is thermal diffusion is non-dimensional temperature is non-dimensional concentration is heat absorption is thermal diffusion ratio is mean fluid temperature Greek letters is electrical conductivity is kinematic viscosity is density is coefficient of volume expansion for heat transfer is volumetric coefficient of expansion with species concentration is suction is dimensionless chemical reaction is plastic dynamic viscosity is porosity is Casson parameter

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