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TECHNICAL BRIEF

On the Stability of Two Superposed Viscous-Viscoelastic (Walters B) Fluids

[+] Author and Article Information
Pardeep Kumar, Roshan Lal

Department of Mathematics, ICDEOL, Himachal Pradesh University, Summer-Hill, Shimla-171005, India

J. Fluids Eng 129(1), 116-119 (Jun 02, 2006) (4 pages) doi:10.1115/1.2375135 History: Received June 22, 2005; Revised June 02, 2006

The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying Walters B viscoelastic fluid is considered. For the stable configuration, the system is found to be stable or unstable under certain conditions. However, the system is found to be unstable for the potentially unstable configuration. Further it is found numerically that kinematic viscosity has a destabilizing effect, whereas kinematic viscoelasticity has a stabilizing effect on the system.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

The variation of the growth rate n (positive real value) with the wave number k for the kinematic viscosities v1=v2=1,2,5 when α1=0.38, α2=0.62, and v1′=2

Grahic Jump Location
Figure 2

The variation of the growth rate n (positive real value) with the wave number k for the kinematic viscoelasticities v1′=3,5,10 when α1=0.38, α2=0.62, and v1=v2=2

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