MHD Flow and Heat Transfer Through a Circular Cylinder Partially Filled with non-Darcy Porous Media
M. K. Sharma1, Kuldip Singh2, Ashok Kumar3
1M.K. Sharma, Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar.
2Kuldip Singh, Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar.
3Ashok Kumar, Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar.
Manuscript received on 10 December 2014 | Revised Manuscript received on 20 December 2014 | Manuscript Published on 30 December 2014 | PP: 30-42 | Volume-4 Issue-7, December 2014 | Retrieval Number: G1891124714/14©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Steady incompressible axisymmetric flow in a circular cylinder partially filled with concentric cylinder of non-Darcy porous medium is studied in the influence of a transverse static magnetic field. The Joule heating effect produced by the magnetic field is also included to analyze effect of magnetic field and fluid flow field on heat convection process. The governing equations of flow and heat transfer are non-linear coupled differential equations, are solved with Quasi-numerical method – the Differential Transform method. The velocity and temperature profiles for the fluid saturated porous region and clear fluid annulus region are derived and computed with the use of Matlab at various physical parameters and there effects are discussed through graphs. The skin-friction coefficient and Nusselt number at the wall of the outer cylinder and at the surface of the concentric inner porous cylinder are computed and discussed.
Keywords: MHD, Non-Darcy, Partial Filled Circular Pipe, Joule Heating.
Scope of the Article: Heat Transfer