A simple derivation of an upper bound in the presence of a viscosity gradient in three-layer Hele-Shaw flows

abstract

• An upper bound on the growth rate of disturbances in three-layer Hele-Shaw flows with the middle layer having a smooth viscous profile is obtained using a weak formulation of the disturbance equations. A recently reported approach for the derivation of this bound is tedious, cumbersome, and requires numerical analysis. In contrast, the present approach is very simple, elegant, and requires no numerical analysis. The interpretation and limiting cases of this bound are also addressed in this paper. IOP Publishing Ltd.

authors

• Daripa, Prabir

published proceedings

• JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

author list (cited authors)

• Daripa, P., & Pasa, G.

citation count

• 16

complete list of authors

• Daripa, P||Pasa, G

publication date

• January 2006

publisher

• IOP Publishing  Publisher

published in

• Journal of Statistical Mechanics: Theory and Experiment  Journal

keywords

• Hydrodynamic Instabilities
• Multiphase Flow

Digital Object Identifier (DOI)

• 10.1088/1742-5468/2006/01/P01014

start page

• p01014

end page

• p01014

volume

• 2006

issue

• 01

URL

• http://dx.doi.org/10.1088/1742-5468/2006/01/p01014