The effect of viscosity and surface tension on the Taylor instability of the surface of a cavitation bubble*

Murthy, Keshava K (1962) The effect of viscosity and surface tension on the Taylor instability of the surface of a cavitation bubble*. In: Journal of Mathematical Analysis and Applications, 5 (3). pp. 403-417.

PDF Visco.pdf - Published Version Restricted to Registered users only Download (595kB) | Request a copy

Abstract

This paper is devoted to a consideration of the following problem: A spherical mass of fluid of density varrho1, viscosity μ1 and external radius R is surrounded by a fluid of density varrho2 and viscosity μ2.The fluids are immiscible and incompressible. The interface is accelerated radially by g1: to study the effect of viscosity and surface tension on the stability of the interface. By analyzing the problem in spherical harmonics the mathematical problem is reduced to one of solution of the characteristic determinant equation. The particular case of a cavity bubble, where the viscosity μ1 of the fluid inside the bubble is negligible in comparison with the viscosity μ2 of the fluid outside the bubble, is considered in some detail. It is shown that viscosity has a stabilizing role on the interface; and when g1 > T(n − 1) (n + 2)/R2(varrho2 − varrho1) the stabilizing role of both viscosity and surface tension is more pronounced than would result when either of them is taken individually.

Item Type:	Journal Article
Publication:	Journal of Mathematical Analysis and Applications
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	02 Jun 2010 04:36
Last Modified:	19 Sep 2010 06:08
URI:	http://eprints.iisc.ac.in/id/eprint/28239

Actions (login required)

View Item