Balonishnikov AM
Department of Natural Sciences and Ecology, St. Petersburg State Academy for Economics and Engineering, 27 Marata, 197002 St. Petersburg, Russia.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):1390-4. doi: 10.1103/physreve.61.1390.
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.
提出了一种基于具有负扩散系数的耗散率新输运方程的扩展局部湍流平衡模型。推导了湍流库埃特 - 泰勒问题中平均速度和耗散率的解析解。得到了扭矩对雷诺数的依赖性。这些解仅取决于湍流边界层的两个常数k = 0.4和C = 9.5，并且在窄通道范围内简化为平面库埃特流中著名的冯·卡门解。在这个极限情况下还观察到了奇怪吸引子行为。
