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Mat. Model., 2011 Volume 23, Number 8, Pages 127–136 (Mi mm3148)

Vector and tensor Reynolds's stress

A. N. Volobuev

Samara State Medical University, Dept. of Medical and Biological Physics, Samara

Abstract: The problem of asymmetry stress tensor is considered. The mechanism of beginning of turbulence in a stream is shown. On the basis of the vector form of the Newton’s law for a viscous liquid it is entered the tensor the generalized factor of viscosity which components take into account both molecular viscosity, and turbulent viscosity. It is shown, that Reynolds's turbulent stress can be submitted as a vector of stress of Reynolds. Formula for Reynolds's stress in approximation of a boundary layer is found.

Keywords: turbulence, Reynolds's stress tensor, viscosity tensor, quantum effects.

Received: 14.02.2011


 English version:
Mathematical Models and Computer Simulations, 2012, 4:2, 181–186

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