Alternate Title

Derivation of the range of acceleration where Taylor’s stability rule reverses direction

Abstract

Analyzing the stability of the interface between two fluids of different densities which is accelerating normal to its surface, Taylor concluded a rule that "this surface is stable or unstable according to whether the acceleration is directed from the heavier to the lighter fluid or vice versa." We show by following Taylor's analysis that in the range where the acceleration of the interface is in the direction of the gravitational acceleration and its magnitude is smaller, this rule reverses direction. The interface is stable or unstable according to whether the acceleration is from the lighter to the heavier fluid or vice versa.

Notes

Author's manuscript version of an article published in Acta Mechanica v.219 no.3-4 (July 2011), pp. 371-373. DOI:10.1007/s00707-011-0454-6

The final publication is available at www.springerlink.com.

Keywords

surface stability, fluids, interface

Disciplines

Industrial Engineering

Publisher

Springer-Verlag

Publication Date

7-2011

Rights Information

© Springer-Verlag 2011

Rights Holder

Springer-Verlag


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