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

Peter Constantin; Charles R. Doering

doi:10.1103/PhysRevE.51.3192

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

Peter Constantin, Charles R. Doering

Research output: Contribution to journal › Article › peer-review

32 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 language	English (US)
Pages (from-to)	3192-3198
Number of pages	7
Journal	Physical Review E
Volume	51
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.51.3192
State	Published - Jan 1 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.51.3192

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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.",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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