Non-newtonian hele-shaw flow and the saffman-taylor instability

Ljubinko Kondic, Michael J. Shelley, Peter Palffy-Muhoray

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Abstract

We explore the Saffman-Taylor instability of a gas bubble expanding into a shear thinning liquid in a radial Hele-Shaw cell. Using Darcy’s law generalized for non-Newtonian fluids, we perform simulations of the full dynamical problem. The simulations show that shear thinning significantly influences the developing interfacial patterns. Shear thinning can suppress tip splitting, and produce fingers which oscillate during growth and shed side branches. Emergent length scales show reasonable agreement with a general linear stability analysis.

Original languageEnglish (US)
Pages (from-to)1433-1436
Number of pages4
JournalPhysical Review Letters
Volume80
Issue number7
DOIs
StatePublished - Feb 16 1998

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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