MHD Heat and Mass Transfer on Stretching Sheet with Variable Fluid Properties in Porous Medium

MHD Heat and Mass Transfer on Stretching Sheet with Variable Fluid Properties in Porous Medium

K. Swain S.K. Parida* G.C. Dash

Department of Mathematics, Radhakrishna Institute of Technology & Engineering, Bhubaneswar, 752057, India

Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar-751030, India

Mechanical & Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee 247667, India

Corresponding Author Email: 
kharabela1983@gmail.com
Page: 
864-884
|
DOI: 
https://doi.org/10.18280/mmc_b.860404
Received: 
13 December 2017
|
Accepted: 
30 December 2017
|
Published: 
31 December 2017
| Citation

OPEN ACCESS

Abstract: 

An analysis is carried out on steady two dimensional stagnation point flow of an incompressible conducting viscous fluid with variable properties over a stretching surface embedded in a saturated porous medium. The flow model is subjected to (i) transverse magnetic field, (ii) variable viscosity and thermal conductivity, (iii) thermodiffusion (Soret effect), (iv) stretching of both plate and free stream (v) pressure gradient in the flow direction is considered non-zero. The Runge-Kutta fourth order method with a self corrective procedure i.e. shooting technique has been applied to solve the governing equations. An interesting result of the analysis is that inversion in formation of velocity boundary layer is due to reversal in stretching ratio. On the other hand, heat transfer leading to formation of thermal boundary layer is not affected significantly. Variable thermal conductivity enhances the temperature distribution. Increase in concentration difference and thermophoresis parameter gives rise to thinner solutal boundary layer. Further, it is remarked that heavier chemically reactive species enhance the rate of solutal transfer at the surface.

Keywords: 

MHD, Variable viscosity, Variable conductivity, Thermophoresis, Stretching sheet, Heat source.

1. Introduction
2. Formulation of the Problem
3. Results and Discussion
Conclusions
Nomenclature
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