Unsteady self-similar flow of a viscous incompressible fluid in a plane divergent channel

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2 Citations (Scopus)

Abstract

The problem of two-dimensional unsteady flow of a viscous incompressible fluid in a sector-like domain is considered. Initially a strictly radial flow is imposed, which makes it possible to seek solutions within the class of self-similar flows. A numerical method based on mixed finite-difference and spectral spatial discretization is developed, making it possible to find the self-similar solution efficiently. The process of development and establishment of the steady Hamel-Jeffery and Moffatt flows is modeled mathematically.

Original languageEnglish
Pages (from-to)36-41
Number of pages6
JournalFluid Dynamics
Volume39
Issue number1
DOIs
Publication statusPublished - Jan 2004
Externally publishedYes

Keywords

  • Mathematical modelling
  • Numerical spectral method
  • Unsteady self-similar fluid flow in divergent and convergent channels

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