Numerical Study of Chemically-Reacting Hydromagnetic Boundary Layer Flow with Soret/Dufour Effects and a Convective Surface Boundary Condition

MAKINDE, O. D., ZIMBA, K. and BEG, Osman (2012). Numerical Study of Chemically-Reacting Hydromagnetic Boundary Layer Flow with Soret/Dufour Effects and a Convective Surface Boundary Condition. International Journal of Thermal and Environmental Engineering, 4 (1), 89-98.

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Abstract

A theoretical study is described to analyze the composite momentum, heat and mass transfer in steady, incompressible laminar boundary layer flow of an electrically-conducting fluid past a moving vertical plate with a convective heat exchange at the surface in the presence of a transverse uniform magnetic field and chemically reactive species taking into account first-order and higher-order chemical reactions. Diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects are also incorporated in the model. The governing partial differential equations are transformed into a system of ordinary differential equations by a similarity transformation. An efficient, well-validated, versatile numerical shooting quadrature is implemented to solve this transformed system. The variations of flow velocity, temperature, concentration as well as heat and mass transfer characteristics with various parameters are presented graphically and tabulated. Our numerical computations show that both momentum and thermal boundary layer thicknesses are enhanced by diffusion-thermo effect while an increase in the concentration boundary layer thickness is observed due to thermal-diffusion effect. An increase in order of chemical reaction (n), Soret number (Sr) and local Hartmann hydromagnetic number (Hax) act to aid the concentration boundary layer thickness growth. Chemical species concentration is reduced with increasing destructive chemical reaction rate (λx), and Schmidt number (Sc). Thermal boundary layer thickness is found to be elevated with increasing values of Dufour number (Du), Schmidt number (Sc), local convective heat transfer parameter (Bix), local Hartmann hydromagnetic number (Hax) and destructive chemical reaction rate (λx); the converse behaviour is computed for increasing values of chemical reaction order (n) and buoyancy parameters (Grx, Gcx) due to the cooling effect of the cold fluid on the right surface of the plate. The study has applications in magnetic materials processing.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.5383/ijtee.04.01.013
Depositing User:	Helen Garner
Date Deposited:	03 Jan 2012 10:39
Last Modified:	03 Jan 2012 10:39
URI:	http://shura.shu.ac.uk/id/eprint/4229

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