Journal :   International Journal of Technology

Volume No. :   4

Issue No. :  1

Year :  2014

Pages :   134-139

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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Effect of Surface Tension on the Kelvin-Helmholtz Instability of Superposed Viscous Fluids in Hydromagnetics Saturating Porous Medium



Address:   Veena Sharma1*, Radhe Shyam1 , Sudrshna Sharma2, Abhishek Sharma3
1Department of Mathematics and Statistics, Himachal Pradesh University Summer Hill Shimla -171 005 (India)
2Department of Mathematics Government Collage Ghumarwin District Bilaspur (India)
3Student of second year Civil Engineering Bahra University Waknaghat Solan (India)
*Corresponding Author
DOI No:

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 Alfve ´n 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 wavenumber band on the growth rate of unstable configuration.
KEYWORDS:
Kelvin-Helmholtz Instability, horizontal magnetic field, surface tension, porous medium.
Cite:
Veena Sharma, Radhe Shyam, Sudrshna Sharma, Abhishek Sharma. Effect of Surface Tension on the Kelvin-Helmholtz Instability of Superposed Viscous Fluids in Hydromagnetics Saturating Porous Medium. Int. J. Tech. 4(1): Jan.-June. 2014; Page 234-239
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