OJAppS  Vol.5 No.6 , June 2015
Magnetohydrodynamic Boundary Layer Flow of Non-Newtonian Fluid and Combined Heat and Mass Transfer about an Inclined Stretching Sheet
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.
Cite this paper: Alam, M. , Islam, M. , Ali, M. , Alim, M. and Alam, M. (2015) Magnetohydrodynamic Boundary Layer Flow of Non-Newtonian Fluid and Combined Heat and Mass Transfer about an Inclined Stretching Sheet. Open Journal of Applied Sciences, 5, 279-294. doi: 10.4236/ojapps.2015.56029.

[1]   Astarita, G. and Marrucci, G. (1974) Principles of Non-Newtonian Fluid Mechanic. McGraw-Hill, New York.

[2]   Bohme, H. (1987) Non-Newtonian Fluid Mechanics. North-Holland Series in Applied Mathematics and Mechanics, North-Holland.

[3]   Schowalter, W.R. (1960) The Application of Boundary Layer Theory to Power-Law Pseudo Plastic Fluid Similar Solutions. AIChE Journal, 6, 24-28.

[4]   Schowalter, W.R. (1978) Mechanics of Non-Newtonian Fluids. Pergamum Press, Oxford.

[5]   Acrivos A., Shah, M.J. and Petersen, E.E. (1960) Momentum and Heat Transfer in Laminar Boundary Layer Flows of Non-Newtonian Fluids Past External Surfaces. AIChE Journal, 6, 312-317.

[6]   Mostafa, A.E.H.M. (2008) Slip Effects on Flow and Heat Transfer of a Non-Newtonian Fluid on a Stretching Surface with Thermal Radiation. International Journal of Chemical Reactor Engineering, 6, 1-20.

[7]   Khan W.A. and Pop, I. (2010) Boundary-Layer Flow of a Nano Fluid past a Stretching Sheet. International Journal of Heat and Mass Transfer, 53, 2477-2483.

[8]   Rana, P. and Bhargava, R. (2011) Numerical Study of Heat Transfer Enhancement in Mixed Convection Flow along a Vertical Plate with Heat Source/Sink Utilizing Nano Fluids. Communications in Nonlinear Science and Numerical Simulation, 16, 4318-4334.

[9]   Rama, B. and Goyal, M. (2014) MHD Non-Newtonian Nano Fluid Flow over a Permeable Stretching Sheet with Heat Generation and Velocity Slip. International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8, 910-916.

[10]   Noghrehabadi, A., Pourrajab, R. and Ghalambaz, M. (2012) Effect of Partial Slip Boundary Condition on the Flow and Heat Transfer of Nano Fluids Past Stretching Sheet Prescribed Constant Wall Temperature. International Journal of Thermal Sciences, 54, 253-261.

[11]   Darji, R.M. and Timol, M.G. (2011) Deductive Group Theoretic Analysis for MHD Flow of a Sisko Fluid in a Porous Medium. International Journal of Applied Mathematics and Mechanics, 7, 49-58.

[12]   Wilkinson, W.L. (1960) Non-Newtonian Fluids. Pergamum Press, New York.