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Thermal Instability in a Horizontal Layer of Ferrofluid in Anisotropic Porous Medium
Current Issue
Volume 3, 2015
Issue 6 (December)
Pages: 156-160   |   Vol. 3, No. 6, December 2015   |   Follow on         
Paper in PDF Downloads: 51   Since Oct. 23, 2015 Views: 1629   Since Oct. 23, 2015
Authors
[1]
Ankuj Bala, Department of Mathematics, Dravidian University Srinivasavanam Kuppam, Chittoor, Andhra Pradesh, India.
[2]
Ramesh Chand, Department of Mathematics, Government Arya Degree College Nurpur, Himachal Pradesh, India.
Abstract
Thermal instability in a horizontal layer of ferrofluid saturated by anisotropic porous medium is investigated for free-free boundary conditions. A linear stability analysis based upon perturbation method and normal mode technique is used to study the onset of instabilities of ferrofluid saturated by anisotropic porous medium. Rayleigh number on the onset of stationary convection has been derived by using Galerkin method. Effect of anisotropy parameters and other parameters on stationary convection derived analytically. It is found that the thermal anisotropy parameter has stabilizing effect while mechanical anisotropy parameter and magnetization parameters have destabilizing effect on the stationary convection.
Keywords
Ferrofluid, Magnetic Thermal Rayleigh Number, Anisotropic Porous Medium, Perturbation Method
Reference
[1]
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[2]
A. Mahajan, (2010): Stability of ferrofluids: Linear and Nonlinear, Lambert Academic Publishing, Germany.
[3]
R. Chand and A. Bala, (2013): On the onset of Rayleigh-Bénard convection in a layer of Ferrofluid, Int. Journal of Engineering Research and Applications, 3(4), 1019-1025.
[4]
R. Chand and A. Bala, (2013): Effect of rotation on the onset of Rayleigh-Bénard convection in a layer of Ferrofluid, International Journal of Modern Engineering Research, 3(4), 2042-2047.
[5]
A. Bala and R. Chand, (2014): Thermal instability in a horizontal layer of Ferrofluid in Brinkman porous medium, Journal of Scientific and Engineering Research, 1(2), 25-34.
[6]
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[9]
R. Chand, S. K. Kango and G. C. Rana, (2014): Thermal instability in anisotropic porous medium saturated by a nanofluid- A realistic approach, Nano Science and Nano Technology An Indian Journal, 8(12),445-453.
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[11]
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