THERMAL SCIENCE

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Aiyub Khan

,

Neka Sharma

,

P. K. Bhatia

KELVIN-HELMHOLTZ DISCONTINUITY IN TWO SUPERPOSED VISCOUS CONDUCTING FLUIDS IN A HORIZONTAL MAGNETIC FIELD

ABSTRACT
The Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids has been investigated in the taking account of effects of surface tension, when the whole system is immersed in a uniform horizontal magnetic field. The streaming motion is assumed to be two-dimensional. The stability analysis has been carried out for two highly viscous fluid of uniform densities. The dispersion relation has been derived and solved numerically. It is found that the effect of viscosity, porosity and surface tension have stabilizing influence on the growth rate of the unstable mode, while streaming velocity has a destabilizing influence on the system.
KEYWORDS
viscosity, porous medium, streaming velocity, magnetic field, surface tension, instability
PAPER SUBMITTED: 2008-03-23
PAPER REVISED: 2008-05-10
PAPER ACCEPTED: 2008-05-15
DOI REFERENCE: https://doi.org/10.2298/TSCI0803103K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2008, VOLUME 12, ISSUE Issue 3, PAGES [103 - 110]
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Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids in a horizontal magnetic field

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