Singular behavior of powe law fluids in Hele Shaw flow

Ole Hassager, T. L. Lauridsen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The governing equation for Hele Shaw flow of power-law fluids is considered. The equation, which is elliptic for power-law index n > 0, is shown to have an equivalent variational integral. The solution exhibits singular behavior at corners. The singularity may be analyzed exactly, and is shown to be algebraic. Conditions under which the singularity is integrable are given.
Original languageEnglish
JournalJournal of Non-Newtonian Fluid Mechanics
Volume29
Pages (from-to)337-346
ISSN0377-0257
Publication statusPublished - 1988
Externally publishedYes

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