Noise and the linear stability analysis of viscous fingering

M. J.P. Gingras, Z. Rcz

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A linear stability analysis of the Saffman-Taylor instability in a radial Hele-Shaw cell is presented. It is shown that the limit of validity of the linear stability analysis can be estimated without having to solve the problem to higher orders. The formation of fingers initiated by the presence of white noise is also examined. We find that, depending on the amplitude of the noise, the number of fingers that is observed as the limit of the linear regime is reached may differ significantly from the number of fingers predicted by the fastest growing mode.

Original languageEnglish
Pages (from-to)5960-5965
Number of pages6
JournalPhysical Review A
Volume40
Issue number10
DOIs
Publication statusPublished - Jan 1 1989

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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