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Report No.

A model of turbulence based on a new formulation of the turbulent Reynolds number

Kriventsev, V.; Ninokata, Hisashi; Yamaguchi, Akira; Ohshima, Hiroyuki

A new model of turbulence is proposed for solving of Reynolds equations for fully-developed flow in a wall-bounded straight channelof arbitrary shape. The main idea of Multi-Scale Viscosity(MSV)model can be expressed in the followingphenomenological rule:A local deformation of axial velocity can generate the turbulence with theintensity that keeps the value of local turbulent Reynoldsnumber below some critical one. Therefore,in MSV,the only empirical parameter is the critical Reynolds number. The turbulent Revnolds numberis defined as Re=K/W,where K is kinetic energy and W is the work of friction/dissipation forces. MSV has been applied to the basic channel flows such as a circulartube,an infinitive plane chanael and an annulus. Calculated velocity profiles are in a good agreementwith expe



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