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Authors
Affiliations
1 Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla -171 005, IN
2 Department of Mathematics, Government Collage, Ghumarwin, District Bilaspur, IN
3 Bahra University Waknaghat Solan, IN
Source
International Journal of Technology, Vol 4, No 1 (2014), Pagination: 1-6
Abstract
This paper deals with the instability of viscous superposed, fluids saturating porous medium in the presence of horizontal magnetic field and to include the effect of surface tension. Using linear theory and normal mode technique the dispersion relation so obtained is analyzed mathematically for the stable configuration. The effects of medium porosity, surface tension and magnetic field, on the growth rate (imaginary) of the most unstable mode have been investigated numerically. The square of the Alfven velocity accounting for magnetic field and surface tension have stabilizing effect on the system and medium porosity has destabilizing effect on the system. All these numerical results have been depicted graphically. The results show that the magnetic field and surface tension bring about more stability for a certain wave number band on the growth rate of unstable configuration.
Keywords
Kelvin-Helmholtz Instability, Horizontal Magnetic Field, Surface Tension, Porous Medium.
