Energy dissipation in shear driven turbulence

Charles R. Doering, Peter Constantin

Research output: Contribution to journalArticlepeer-review

99 Scopus citations


The Navier-Stokes equations are utilized to derive upper bounds on the turbulent energy dissipation rate for an incompressible Newtonian fluid confined between parallel comoving plates. These estimates provide a rigorous foundation for one of the basic scaling ideas of turbulence theory, namely, the independence of the dissipation rate and the viscosity at high Reynolds number. The bounds are compared to experiments on turbulence in the Couette-Taylor system.

Original languageEnglish (US)
Pages (from-to)1648-1651
Number of pages4
JournalPhysical review letters
Issue number11
StatePublished - Jan 1 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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