Magnetohydrodynamic Boundary Layer Flow of Non-Newtonian Fluid and Combined Heat and Mass Transfer about an Inclined Stretching Sheet

Md Shah Alam,Md Abdul Alim,Mohammad Ali,Md Mahmud Alam,Md Rashedul Islam

doi:10.4236/ojapps.2015.56029

Abstract

The steady magneto hydrodynamic (MHD) boundary layer flow and combined heat and mass transfer of a non-Newtonian fluid over an inclined stretching sheet have been investigated in the present analysis. The effects of the flow parameters on the velocity, temperature, species concentration, local skin friction, local Nusselt number, and Sherwood number are computed, discussed and have been graphically represented in figures and tables for various values of different parameters. The numerical results are carried out for several values of the combined effects of magnetic parameter M, stretching parameter λ, Prandtl number Pr, Eckert number Ec, Schmidt number Sc, Soret number S0, slip parameter A and Casson parameter n on velocity, temperature and concentration profiles and also the skin-friction coefficient f "(0) local Nusselt number -θ'(0) and local Sherwood number -ψ'(0) are discussed and presented in tabular form. The results pertaining to the present study indicate that the velocity profiles decrease as the increase of magnetic field parameter, but reverse trend arises for the effect of Casson parameter and stretching ratio parameter for both Newtonian and non-Newtonian fluids. The temperature profiles increase forthe effect of magnetic parameter, Prandtl number and Eckert number in case of Newtonian and non-Newtonian fluids. The concentration profile increases for the effect of Soret number while concentration profile decreases for the increasing values of Schmidt number, magnetic parameter, Prandtl number and Eckert number for both Newtonian and non-Newtonian fluids. By considering the cooling plate the numerical results for the skin-friction coefficient f "(0) , local Nusselt number -θ'(0) and local Sherwood number -ψ'(0) are presented in Tables 1-3.

Highlights

The non-Newtonian fluid flow is important for their numerous engineering applications
Besides the fluid velocity is decreased for magnetic parameter which leads to a decrease in heat convection and mass diffusion, and fluid temperature and species concentration in fluid increases
Due to this property the fluid temperature is higher for a lower Prandtl number fluid and vice-versa

Summary

Introduction

The non-Newtonian fluid flow is important for their numerous engineering applications. The various types of non-Newtonian fluids are nano fluid, Casson fluid, viscoelastic fluid, couple stress fluid, micro polar fluid, power-law flow, etc. These include pseudo plastic, dilatant, blood, foodstuff, slurries, cosmetics & toiletries and paints. Heat transfer of a non-Newtonian power-law fluid over a stretching surface in the presence of radiation and slip condition at the surface was investigated by Mostafa [6]. Rama and Goyal [9] have studied non-Newtonian nano fluid flow over a permeable sheet with heat generation and velocity slip in presence of magnetic field. Noghrehabadi et al [10] studied the partial slip eeffect on the flow and heat transfer of nano fluids over a stretching sheet

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Conclusion