THERMAL SCIENCE

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Pardeep Kumar

,

Roshan Lal

STABILITY OF TWO SUPERPOSED VISCOUS-VISCOELASTIC FLUIDS

ABSTRACT
The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying a Rivlin-Ericksen viscoelastic fluid is considered. Upon application of normal mode technique, the dispersion relation is obtained. As in both Newtonian viscous-viscous fluids the system is stable in the potentially stable case and unstable in the potentially unstable case, this holds for the present problem also. The behavior of growth rates with respect to kinematic viscosity and kinematic viscoelasticity parameters are examined numerically and it is found that both kinematic viscosity and kinematic viscoelasticity have stabilizing effect.
KEYWORDS
Rayleigh-Taylor instability, normal mode technique, linearized theory, Rivlin-Ericksen viscoelastic fluid
PAPER SUBMITTED: 2005-03-05
PAPER REVISED: 2005-06-25
PAPER ACCEPTED: 2005-08-18
DOI REFERENCE: https://doi.org/10.2298/TSCI0502087K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2005, VOLUME 9, ISSUE Issue 2, PAGES [87 - 95]
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Stability of two superposed viscous-viscoelastic fluids

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence