An algebraic-Q4 turbulent eddy viscosity model: Boundary layer flow over a flat plate and flow in a pipe

Alexander Yakhot, Omer Kedar, Steven A. Orszag

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

An algebraic turbulent eddy viscosity model is proposed based on a length scale model coupled with the turbulent viscosity expression of the renormalization group theory of turbulence. The eddy viscosity is presented as a solution of a quartic equation. The new length scale model is based on boundary layer characteristics (displacement thickness, shape factor). The model is applied to transitional boundary layer flow over a flat plate and to flow in a smooth pipe. Predictions for the laminar-turbulent transition, and integral characteristics, such as the total skin friction coefficient, mean velocity profile across the boundary layer, and the friction coefficient in a pipe, are found to be in good agreement with experimental data.

Original languageEnglish
Pages (from-to)229-239
Number of pages11
JournalJournal of Scientific Computing
Volume7
Issue number3
DOIs
StatePublished - 1 Sep 1992

Keywords

  • Eddy viscosity
  • boundary layer
  • pipe flow
  • renormalization group
  • turbulent flow

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering (all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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