Extended local balance model of turbulence and Couette-Taylor flow

被引：7
作者：
Balonishnikov, AM [1 ]
机构：
[1] St Petersburg State Acad Econ & Engn, Dept Nat Sci & Ecol, St Petersburg 197002, Russia
来源：
PHYSICAL REVIEW E | 2000年 / 61卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.61.1390
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：
An extended local balance model of turbulence, based on a new transport equation for the dissipation rate with a negative diffusion coefficient, is presented. Analytical solutions for the mean velocity and the dissipation rate for the turbulent Couette-Taylor problem are derived. The dependence of torque on the Reynolds number is obtained. These solutions depend only on two constants k = 0.4 and C = 9.5 of the turbulent boundary layer and, within the limits of a narrow channel, are reduced to the well-known von Karman's solutions for planar Couette flow. Strange attractor behavior in this limit is also observed.
引用
收藏
页码：1390 / 1394
页数：5
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