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

Md. Shah Alam¹, Md. Rashedul Islam², Mohammad Ali^1*, Md. Abdul Alim³, Md. Mahmud Alam⁴

¹Department of Mathematics, Chittagong University of Engineering and Technology (CUET), Chittagong, Bangladesh.
²Department of Computer Science and Engineering, International Islamic University Chittagong (IIUC), Chittagong, Bangladesh.
³Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, Bangladesh.
⁴Mathematics Discipline, Khulna University (KU), Khulna, Bangladesh.

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.

Keywords

MHD, Casson Fluid, Stretching Sheet, Angle of Inclination

Conflicts of Interest

The authors declare no conflicts of interest.

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