Variational bounds on energy dissipation in incompressible flows. II. Channel flow

Peter Constantin, Charles R. Doering

Research output: Contribution to journalArticle

73 Scopus citations

Abstract

A variational principle for lower bounds on the time-averaged mass flux for Newtonian fluids driven by a pressure gradient in a channel is derived from the incompressible Navier-Stokes equations. When supplied with appropriate test background flow fields, the variational formulation produces explicit estimates for the friction coefficient. These rigorous bounds are compared with the predictions of conventional turbulence theory.

Original languageEnglish (US)
Pages (from-to)3192-3198
Number of pages7
JournalPhysical Review E
Volume51
Issue number4
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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