Unsteady Magnetohydrodynamic Heat Transfer in a Semi-Infinite Porous Medium with Thermal Radiation Flux: Analytical and Numerical StudyReport as inadecuate




Unsteady Magnetohydrodynamic Heat Transfer in a Semi-Infinite Porous Medium with Thermal Radiation Flux: Analytical and Numerical Study - Download this document for free, or read online. Document in PDF available to download.

Advances in Numerical AnalysisVolume 2011 2011, Article ID 304124, 17 pages

Research Article

Aerospace Engineering, Department of Engineering and Mathematics, Sheaf Building, Sheffield Hallam University, Sheffield S1 1WB, UK

Thermal Engineering and Fluids Department, Technical University of Cartagena, Campus Muralla del Mar, 30202 Cartagena, Spain

Magnetohydrodynamics, Applied Mathematics Program, Department of Mathematics, Narajole Raj College, P.O. Narajole, Midnapore 721 211, WB, India

Institute for Advanced Studies, Tehran 14456-63543, Iran

Received 12 December 2010; Accepted 20 January 2011

Academic Editor: William J. Layton

Copyright © 2011 O. Anwar Bég et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The unsteady, buoyancy-induced, hydromagnetic, thermal convection flow in a semi-infinite porous regime adjacent to an infinite hot vertical plate moving with constant velocity, is studied in the presence of significant thermal radiation. The momentum and energy conservation equations are normalized and then solved using both the Laplace transform technique and Network Numerical Simulation. Excellent agreement is obtained between both analytical and numerical methods. An increase in Hartmann number 𝑀2 strongly decelerates the flow and for very high strength magnetic fields 𝑀2=20, the flow is reversed after a short time interval. The classical velocity overshoot is also detected close to the plate surface for low to intermediate values of 𝑀2 at both small and large times; however this overshoot vanishes for larger strengths of the transverse magnetic field 𝑀2=10. An increase in radiation-conduction parameter 𝐾𝑟 significantly increases temperature throughout the porous regime at both small and larger times, adjacent to the plate, but decreases the shear stress magnitudes at the plate. Temperature gradient is reduced at the plate surface for all times, with a rise in radiation-conduction parameter 𝐾𝑟. Shear stress is reduced considerably with an increase in Darcian drag parameter 𝐾𝑝.





Author: O. Anwar Bég, J. Zueco, S. K. Ghosh, and Alireza Heidari

Source: https://www.hindawi.com/



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