Two-dimensional Stokes flow with suction and small surface tension

L. J. Cummings, S. D. Howison

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this article the complex variable theory of two-dimensional Stokes flow as developed by Richardson [22], and modified by Howison Richardson [16], is reviewed. The analysis of [16] is extended to a new solution driven by a point sink, which uses a cubic polynomial conformal mapping (with real coefficients) from the unit disk onto the fluid domain. This solution is analysed in the limit of small surface tension. An apparent 'stability paradox' (where two equivalent flow geometries are found, one of which is 'stable' and the other unstable) is resolved by allowing the coefficients to take complex values.

Original languageEnglish (US)
Pages (from-to)681-705
Number of pages25
JournalEuropean Journal of Applied Mathematics
Volume10
Issue number6
DOIs
StatePublished - Jan 1 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Two-dimensional Stokes flow with suction and small surface tension'. Together they form a unique fingerprint.

Cite this