EFFECTS OF PERMEABILITY ON DOUBLE DIFFUSIVE MHD MIXED CONVECTIVE FLOW PAST AN INCLINED POROUS PLATE

Abstract

The influence of permeability of the porous plate on double diffusive MHD mixed convective flow past an inclined porous plate in the boundary layer region has been investigated in this paper. The system of non-linear partial differential equations and their boundary conditions have been developed, and transformed into a set of non-linear ordinary differential equations with the help of similarity transformations. These transformed equations are solved numerically for different values of relevant parameters using Runga-Kutta method with Nachtsheim-Swigert shooting iteration technique. Numerical results are obtained for the velocity, temperature and concentration distributions as well as local skinfriction, local Nusselt number and local Sherwood number, and presented graphically to analyze the effects of permeability parameters of the porous plate and the porous medium, and Eckert number. For some specific values of relevant governing parameters, the numerical result is compared with those available in the literature for validity of numerical results and a comparatively good agreement is reached

Keywords

• Double diffusive, MHD, mixed convection, permeability, inclined porous plate

References

1. Chen, C.-H., Yunlin and Taiwan, Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration, Acta Mechanica, 172, pp. 219-235, 2004.
2. Alam, M.S., Rahman, M.M. and Samad, M.A., Numerical Study of the Combined Free-Forced Convection and Mass Transfer Flow Past a Vertical Porous Plate in a Porous Medium with Heat Generation and Thermal Diffusion, Nonlinear Analysis: Modeling and Control, Vol. 11, No. 4, pp. 331-343, 2006.
3. Alim, M.A, Alam, M.M., Addullah-Al-Mamun and Hossain, B., Combined effect of viscous dissipation and joul heating on the coupling of conduction and free convection along a vertical plate, International Communications in Heat and Mass Transfer, Vol. 35, pp. 338-346, 2008.
4. Aydin, O. and Kaya, A., MHD mixed convective heat transfer flow about an inclined plate, Heat Mass Transfer, Vol. 46, pp. 129-136, 2009.
5. Tak, S.S., Khan, A. and Mathur, R., MHD mixed convection boundary layer flow with double diffusion and thermal radiation adjacent to a vertical permeable surface embedded in a porous medium, African Journal of Mathematical Physics, Vol. 8, pp. 67-77, 2010.
6. Reddy, M.G. and Reddy, N.B., Mass transfer and Heat Generation Effects on MHD Free Convection Flow past an Inclined Vertical Surface in a Porous Medium, J. of Applied Fluid Mechanics, Vol. 4, No. 3, Issue 1, pp. 7-11, 2011.
7. Raju, K.V.S., Raju, M.C., Venkataramana, S. and Raju, G.S.S., Unsteady MHD thermal diffusive, radiative and free convective flow past a vertical porous plate through nonhomogeneous porous medium, International Journal of Advancements in Research & Technology, Vol. 2, Issue 7, July-2013.
8. Magodora, M., Basira, K. and Sibanda, P., Double diffusive heat and mass transfer over a vertical plate in the presence of wall suction and chemical reaction, International Journal of Scientific and Research and Publications, Vol. 03, Issue 11, pp. 01-09, November 2013.

9. Guha, A. and Samanta, S., Effect of thermophoresis on the motion of aerosol particles in natural convective flow on horizontal plates, International Journal of Heat and Mass Transfer, Vol. 68, pp. 42-50, 2014.
10. Anuradha, S. and Priyadharshini, P., Heat and mass transfer on unsteady MHD free convective flow pass a semi-infinite vertical plate with Soret effect, The International Journal of science & Technoledge, Vol. 02, Issue 04, pp. 328-337, April 2014.
11. Talbot, L., Cheng, R.K., Schefer, R.W. and Willis, D.R., Thermophoresis of particles in a heated boundary layer, J. of fluid Mechanics, Vol. 101, Part 4, pp. 737-758, 1979.
12. Cebeci, T. and Bradshaw, P., Physical and computational aspects of convective heat transfer, Springer, New York, 1984.
13. Nachtsheim, P.R. and Swigert, P., Satisfaction of asymptotic boundary conditions in numerical solution of systems of nonlinear equations of boundary-layer type, NASA TND 3004, 1965.