Equations of multimoment hydrodynamics in problem on flow around a sphere. 1. Construction of asymmetric distributions of hydrodynamic values

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The equations of multimoment hydrodynamics are used to interpret flows behind the sphere that do not have axial symmetry. The equations of multimoment hydrodynamics follow from the equations for pair distribution functions. The derivation of the equations is free from approximations similar to the Boltzmann hypothesis. In accordance with the general approach, the pair function is represented as an infinite series of products of trajectory invariants with unknown coefficients. A finite number of terms are preserved in this series, which make it possible to construct asymmetric distributions of hydrodynamic values. Analytical expressions for the principal hydrodynamic values are presented. Solutions of nonlinear differential equations for unknown coefficients will make it possible to trace the evolution of the observed asymmetric flows, culminating in pronounced turbulence.

Sobre autores

I. Lebed

Institute of Applied Mechanics, Russian Academy of Science

Autor responsável pela correspondência
Email: lebed-ivl@yandex.ru
Moscow, Russia

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