Main Article Content
The magnetohydordynamic flow and heat transfer of two viscous incompressible fluids through porous medium has been investigated in the paper. Fluids flow through porous medium between two parallel fixed isothermal plates in the presence of an inclined magnetic and perpendicular electric field. Fluids are electrically conducting, while the channel plates are insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained. Solutions with appropriate boundary conditions for velocity and temperature fields have been obtained. The analytical results for various values of the Hartmann number, load factor, viscosity and porosity parameter have been presented graphically to show their effect on the flow and heat transfer characteristics.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Darcy, H., The Flow of Fluids through Porous Media, McGraw-Hill, New York, USA, 1937
 Cunningham, R. E., Williams, R. J., Diffusion in Gases and Porous Media, Plenum Press, New York, USA, 1980
 McWhirter, J., et al., Magnetohydrodynamic Flows in Porous Media II: Experimental results, Fusion Technology, 34 (1998), 3, pp. 187-197
 Prescott, P. J., Incropera, F. P., Magnetically Damped Convection During Solidification of a Binary Metal Alloy, Journal of Heat Transfer, 115 (1993), 2, pp. 302-310
 Lehmann, P., et al., Modification of Inter-Dendritic Convection in Directional Solidification by a Uniform Magnetic Field, Acta Materialia, 46 (1998), 11, pp. 1067-4079
 Bodosa, G., Borkakati, A. K., MHD Couette Flow with heat Transfer between Two Horizontal Plates in the Presence of a Uniform Transverse Magnetic Field, Journal of Theoretical and Applied Mechanics, 30 (2003), 1, pp. 1-9
 Attia, H. A., On the Effectiveness of Variation in the Physical Variables on the MHD Steady Flow between Parallel Plates with Heat Transfer, International Journal for Numerical Methods in Engineering, 65 (2006), 2, pp. 224-235
 Singha, K. G., Analytical Solution to the Problem of MHD Free Convective Flow of an Electrically Conducting Fluid between Two Heated Parallel Plates in the Presence of an Induced Magnetic Field, International Journal of Applied Mathematics and Computation, 1 (2009), 4, pp. 183-193
 Nikodijević, D., et al., Flow and Heat Transfer of Two Immiscible Fluids in the Presence of Uniform Inclined Magnetic Field, Mathematical Problems in Engineering, 2011 (2011), ID 132302
 Alpher, R. A,. Heat Transfer in Magnetohydrodynamic Flow between Parallel Plates, International Journal of Heat & Mass transfer, 3 (1961), 2, pp. 108-112
 Cox, S. M., Two Dimensional Flow of a Viscous Fluid in a Channel with Porous Wall, Journal of Fluid Mechanics, 227 (1991), June, pp. 1-33
 Tawil, M. A. E., Kamel, M. H., MHD Flow under Stochastic Porous Media, Energy Conservation Management, 35 (1994), 11, pp. 991-997
 Yih, K. A., Radiation Effect on Natural Convection over a Vertical Cylinder Embedded in Porous Media, International Communications in Heat and Mass Transfer, 26 (1999), 2, pp. 259-267
 Vidhya, M., Sundarammal, K., Laminar Convection through Porous Medium between Two Vertical Parallel Plates with Heat Source, Frontiers in Automobile and Mechanical Engineering (FAME), (2010), pp. 197-200, doi: 10.1109/FAME.2010.5714846
 Geindreau, C., Auriault, J., Magnetohydrodynamic Flows in Porous Media, Journal of Fluid Mechanics, 466 (2002), Sept., pp. 343-363
 Singh, R. D., Rakesh, K., Heat and Mass Transfer in MHD Flow of a Viscous Fluid through Porous Medium with Variable Suction and Heat Source, Proceedings of Indian National Science Academy, 75 (2002), 1, pp. 7-13
 Tzirtzilakis, E. E., A Mathematical Model for Blood Flow in Magnetic Field, Physics of Fluids, 17 (2005), 7, pp. 077103/1-077103/15
 Bird, R.B., et al., Transport Phenomena, John Wiley and Sons, New York, USA, 1960
 Bhattacharya, R. N., The Flow of Immiscible Fluids between Rigid Plates with a Time Dependent Pressure Gradient, Bulletin of the Calcutta Mathematical Society, 60 (1968), 3, pp. 129-136
 Mitra, P., Unsteady Flow of Two Electrically Conducting Fluids between Two Rigid Parallel Plates, Bulletin of the Calcutta Mathematical Society, 74 (1982), pp. 87-95
 Chamkha, A. J., Flow of Two-Immiscible Fluids in Porous and Non-Porous Channels, ASME Journal of Fluids Engineering, 122 (2000), 1, pp. 117-124
 Lohrasbi, J., Sahai, V., Magnetohydrodynamic Heat Transfer in Two Phase Flow between Parallel Plates, Applied Scientific Research, 45 (1988), 1, pp. 53-66
 Alireza, S., Sahai, V., Heat Transfer in Developing Magnetohydrodynamic Poiseuille Flow and Variable Transport Properties, International Journal of Heat and Mass Transfer, 33 (1990), 8, pp.1711-1720
 Malashetty, M. S. et al., Convective MHD Two Fluid Flow and Heat Transfer in an Inclined Channel, Heat and Mass Transfer, 37 (2001), 2-3, pp. 259-264
 Malashetty, M. S., et al., Two Fluid Flow and Heat Transfer in an Inclined Channel Containing Porous and Fluid Layer, Heat and Mass Transfer, 40 (2001), 11, pp. 871-876