К вопросу совершенствования математического описания турбулентного движения вязкой несжимаемой жидкости

Abstract

Проведен анализ возможности практического применения, преимуществ и недостатков различных моделей турбулентности, начиная с полуэмпирических "k", "k-ε" моделей и моделей, описываемых дифференциальными уравнениями для напряжений Рейнольдса. Предложен новый подход к описанию турбулентных потоков, учитывающих более точно диффузионный перенос импульса, а также трансформацию энергии импульса в энергию момента импульса и наоборот и другие моменты.

The feasibility, advantages and disadvantages of various turbulence models have been analyzed, starting with semi-empirical "k", "k-ε" models and models described by differential equations for the Reynolds stresses. A new approach to the description of turbulent flows, taking into account more accurately the diffusion transfer of the momentum of particles, as well as the transformation of the moment of momentum energy into the momentum energy and vice versa, and other moments are proposed. It is in-process shown that the tensor of turbulent tensions in equalization of Reynolds full not enough describes the diffusive transfer of impulse. It is shown also, that the models of turbulence are based on "k" and "k-ε" equations can not exactly describe anisotropic character of large scale vertical structures. The lacks of the most modern method of description of turbulent streams are considered also based on equalizations of indissolubility, Reynolds and differential equalizations for tensions of Reynolds.