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

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.

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Publication Details

Journal
Химическая физика / Advances in Chemical Physics
Published
2025-01-01
DOI
https://doi.org/10.7868/30182-1
Primary Topic
Aquatic and Environmental Studies
Type
article
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article

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

I. V. Lebed
Химическая физика / Advances in Chemical Physics
Aquatic and Environmental Studies
article

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

I. V. Lebed
article en

Abstract

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.

Химическая физика / Advances in Chemical PhysicsVol. 44(6)
Openalex Percentile: Top 70%
Aquatic and Environmental Studies
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