VARIATIONAL BOUNDS ON ENERGY-DISSIPATION IN INCOMPRESSIBLE FLOWS .2. CHANNEL FLOW

被引：91

作者：

CONSTANTIN, P ^{[1
]}

DOERING, CR ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB, CTR NONLINEAR STUDIES, LOS ALAMOS, NM 87545 USA

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.51.3192

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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. © 1995 The American Physical Society.

引用

页码：3192 / 3198

页数：7

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