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Rayleigh-Taylor instability in a finite thickness layer of a non-Newtonian fluid

Rudraiah N., Sridharan P., Bhargava S.

Applied Mechanics and Engineering

2000

Vol. 5, no 2

315-327

A mechanism of surface instability in non-Newtonian fluid is described using Rayleigh-Taylor instability as an example. The combined effects of non-Newtonian parameter n, normal stress 'delta', film thickness h, and surface tension 'gamma' on surface instability is studied using linear stability analysis. It is shown that stable, neutrally stable and unstable states are possible depending on the values of n, in contrast to the existence of only unstable state in Newtonian fluids. Further, the graph of dispersion curve reveals that both n and 'lambda'(='gamma'/'delta') control dispersion curve with the layer thickness just affecting the nature of growth rate of instability.