TURBULENT HYDRODYNAMIC LINE STRETCHING . CONSEQUENCES OF ISOTROPY

被引：96

作者：

COCKE, WJ

机构：

[1] Steward Observatory, University of Arizona, Tucson, AZ

来源：

PHYSICS OF FLUIDS | 1969年 / 12卷 / 12P1期

关键词：

D O I：

10.1063/1.1692385

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A Lagrangian formalism for treating the stretching of material line and surface elements converted with a turbulent fluid is developed, and consequences of statistical isotropy for the distribution function of the components of a tensor are derived. Incompressibility and isotropy are then used to prove rigorously that the expectation value of the logarithmic change of the length of a line element (and area of a surface element) is greater than zero. A connection between the distribution function of the velocity shear tensor and that of the symmetric time-development tensor used in the Lagrangian formalism is shown.

引用

页码：2488 / &