Heat and mass transfer of MHD convective boundary layer flow past a stretching porous wall embedded in a porous medium

Journal of Engineering Thermophysics - Tập 21 - Trang 181-192 - 2012
S. N. Sahoo1, G. C. Dash1
1Department of Mathematics, Institute of Technical Education and Research, Faculty of Engineering, Siksha‘O’Anusandhan University, Khandagiri, Bhubaneswar, India

Tóm tắt

The hydromagnetic convective boundary layer flow past a stretching porous wall embedded in a porous medium with heat and mass transfer in the presence of a heat source and under the influence of a uniform magnetic field is studied. Exact solutions of the basic equations of motion, heat and mass transfer are obtained after reducing them to nonlinear ordinary differential equations. The reduced equations of heat and mass transfer are solved using a confluent hypergeometric function. The effects of the flow parameters such as a suction parameter (N), magnetic parameter (M), permeability parameter (K p ), wall temperature parameter (r), wall concentration parameter (n), and heat source/sink parameter (Q) on the dynamics are discussed. It is observed that the suction parameter appears in the boundary condition ensuring the variable suction at the surface. Transverse component of the velocity increases only when magnetic field strength exceeds certain value, but the thermal boundary layer thickness and concentration distribution increase for all values. Results presented in this paper are in good agreement with the work of the previous author and also in conformity with the established theory.

Tài liệu tham khảo

Rajgopal, K.R., Na, T.Y., and Gupta, A.S., Flow of a Visco-Elastic Fluid over a Stretching Sheet, Rheol. Acta, 1984, vol. 23, pp. 213–221. Idress, M.K. and Abel, M.S., Visco-Elastic Flow past a Stretching Sheet in Porous Media and Heat Transfer with Internal Heat Source, Ind. J. Th. Phys., 1996, vol. 44, pp. 233–244. Naseem, A. and Khan, N., Boundary Layer Flow past a Stretching Plate with Suction and Heat Transfer with Variable Conductivity, Int. J. Eng. Mat. Sci., 2000, vol. 7, pp. 51–53. Ray Mahapatra, T. and Gupta, A.S., Heat Transfer in Stagnation Point Flow towards a Stretching Sheet, Heat Mass Transfer, 2002, vol. 38, pp. 517–521. Sanyal, D.C. and Dasgupta, S., Steady Flow and Heat Transfer of a Conducting Fluid Caused by Stretching a Porous Wall, Ind. J. Th. Phys., 2003, vol. 51, pp. 47–58. Mukhopadhayay, S., Layek, G.C., and Samad, S.A., Study of MHD Boundary Layer Flow over a Heated Stretching Sheet with Variable Viscosity, Int. J. Heat Mass Transfer, 2005, vol. 48, pp. 4460–4466. Elbashbeshy, E.M.A. and Bazid, M.A.A., Heat Transfer in Porous Medium over a Stretching Surface with Internal Heat Generation Suction or Injection, Appl. Math. Comp., 2004, vol. 158, pp. 799–807. Tak, S.S. and Lodha, A., Flow and Heat Transfer Due to a Stretching Porous Surface in Presence of Transverse Magnetic Field, Acta Ciencia Indica, 2005, vol. 31 M, no. 3, pp. 657–663. Cortell, R., Flow and Heat Transfer of a Fluid through a Porous Medium over a Stretching Surface with Internal Heat Generation/Absorption and Suction/Blowing, Fluid Dyn. Res., 2005, vol. 37, pp. 231–245. Pantokratoras, A., Study of MHD Boundary Layer Flow over a Heated Stretching Sheet with Variable Viscosity: A Numerical Investigation, Int. J. Thermal Sci., 2008, vol. 51, pp. 104–110. Singh, A.K., Heat Source and Radiation Effects on Magneto-Convection Flow of a Viscoelastic Fluid past a Stretching Sheet: Analysis with Kummer’s Function, Int. Comm. Heat Mass Transfer, 2008, vol. 35, pp. 637–642. Amkadni, M., Azzaouzia, A., and Hammouch, Z., On the Exact Solutions of Laminar MHD Flow over a Stretching Flat Plate, Comm. Nonlinear Sci. Num. Simulation, 2008, vol. 13(2), pp. 359–364. Anjali Devi, S.P. and Ganga, B., Viscous Dissipation Effects on Nonlinear MHD Flow in a Porous Medium over a Stretching Porous Surface, Int. J. Appl. Math. Mech., 2009, vol. 5(7), pp. 45–59. Gupta, P.S. and Gupta, A.S., Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing, Cnadian J. Chem. Eng., 1977, vol. 55, pp. 744–746. Nield, D.A. and Bejan, A., Convection in PorousMedia, New York: Springer-Verlag, 1999.