On steady irrotational flow of incompressible ideal fluid in a circular domain with free surface

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Abstract

We study irrotational steady flows of an incompressible ideal fluid in a two-dimensional circular domain, with free surface. Stationary solutions have been studied as bifurcation problems assuming the obstacle exactly circular, and in the presence of surface tension. In this paper, disregarding the surface tension, for non circular obstacles, we analize the set of solutions close to bifurcation points letting the Froud number as driving parameter.

Original languageEnglish
Pages (from-to)35-60
Number of pages26
JournalAnnali dell'Universita di Ferrara
Volume46
Issue number1
DOIs
Publication statusPublished - 2000
Externally publishedYes

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Ideal Fluid
Steady Flow
Surface Tension
Incompressible Fluid
Free Surface
Bifurcation Point
Stationary Solutions
Bifurcation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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abstract = "We study irrotational steady flows of an incompressible ideal fluid in a two-dimensional circular domain, with free surface. Stationary solutions have been studied as bifurcation problems assuming the obstacle exactly circular, and in the presence of surface tension. In this paper, disregarding the surface tension, for non circular obstacles, we analize the set of solutions close to bifurcation points letting the Froud number as driving parameter.",
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