Turbulent kinetic energy transfer and dissipation in thermoviscous fluid flow
Yu.M. Kulikov, E.E. Son
Joint Institute for High Temperatures RAS, Moscow, Russia
Keywords: thermoviscous fluid, turbulence, kinetic energy, mixing, Reynolds averaging, stationary turbulence, time scale, turbulent heat flux, inhomogeneous turbulence, filtration, averaging moments, advection, dissipation, diffusion, turbulent transport
Abstract
Turbulent flow of thermoviscous liquid is studied in a three-dimensional region with periodicity in two directions. Flow characteristics are described in the terms of equation for turbulent kinetic energy: this allows to differentiate contributions from different components related to generation, transport and dissipation of turbulent kinetic energy. Those terms can be calculated from averaging of moments of different order. The previous studies demonstrated that thermoviscous liquid flow occurs through several stages of evolution, including the unsteady turbulence. This allows discussing the problem of mathematical rigorous statement and applicability of different methods for averaging. Existence of spatial periodicity allow using a combined spatial-time averaging for different values on the interval of steady turbulence. Results are presented as a set of Z - t -diagrams. Besides, the paper presents analysis of flow development on the basis of direct visualization of velocity and temperature.
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