Abstract
Eddy viscosity as a distribution of the probability density of the influence of a solid wall down into a fluid flow is derived. The expression for the wall influence is generally valid for the flow and heat transfer in smooth and rough channels and for surfaces in longitudinal flow. A model of the eddy viscosity of developed flow of a medium with constant properties in smooth tubes is presented. The coefficients of the model are found. Computed basic hydrodynamic characteristics are shown. An analogical model of the eddy diffusivity of heat is presented and its relation to the model of eddy viscosity is derived. Thermokinetic characteristics of the media ( Pr = 0.72–10) for the uniform heat flux are computed. The model of eddy diffusivity is extended to liquid metals. Connecting the models together allows the influence of dissipated energy on the thermokinetic characteristics and the heat transfer coefficient for dissipated energy to be derived. The physical significance of the coefficients of the models are discussed and their relations to the mixing length and the quantities of vortex diffusion are indicated.
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