Indian Society for Heat and Mass Transfer

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Non-Darcian and thermal radiation effects on Magnetoconvection flow of Two-immiscible fluids with heat transfer

R. Muthuraj
Department of Mathematics, P.S.N.A. College of Engineering & Technology, Dindigul-624622, India

S. Srinivas
Department of Mathematics, School of Advanced Sciences, VIT AP-University, Amaravathi, India

Anant Kant Shukla
Department of Mathematics, School of Advanced Sciences and Languages, VIT Bhopal University, Kothrikalan, Sehore-466114, India

D. Lourdu Immaculate
Department of Mathematics, Bharathiar University, Coimbatore, India, and Department of Mathematics, The American College, Madurai, India

DOI: 10.1615/IHMTC-2017.2870
pages 2041-2049


In this paper, we endeavor to discuss magnetoconvective flow of two immiscible fluids in a vertical channel with heat transfer in the presence of temperature dependent heat source. The governing non-dimensional differential equations subjected to corresponding boundary and interface conditions have been solved by homotopy analysis method (HAM). Graphical results are presented for velocity, temperature field with different values of involved pertinent parameters. Further, coefficient of skin friction and heat transfer coefficient are also studied with the aid of graphs. It is found that permeability of the medium and magnetic field, thermal radiation and electric field affect the fluid flow and heat transfer characteristics significantly. In addition, we have compared present HAM solution with analytical solution of the problem (i.e., absence of radiation, inertia effect and Brinkmann number). It depicts that the present results are in good agreement with analytical solutions.

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