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

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 explici...

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Veröffentlicht in:Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1995-04, Vol.51 (4), p.3192-3198
Hauptverfasser: Constantin, P, Doering, CR
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Sprache:eng
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