Equations of multimoment hydrodynamics in problem on flow around a sphere. 2. The basic asymmetric solution

The equations of multimoment hydrodynamics are used to interpret flows behind the sphere that do not have axial symmetry. In accordance with the general approach to solving the equations of multimoment hydrodynamics, a set of nonlinear first-order differential equations for unknown coefficients is derived. Numerical integration of the derived equations shows that a high value of the turbulence coefficient provides a transition from the basic axisymmetric solution to the basic weakly asymmetric solution. It was found that the asymmetric solution is not stable. The instability of the asymmetric solution creates prospects for interpreting the observed evolution of weakly asymmetric flow. It becomes possible to reproduce the vortex shedding observed at moderately high values of the Reynolds number. There are prospects for interpreting the turbulence that develops with a further increase in the Reynolds number.

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Publication Details

Journal
Химическая физика / Advances in Chemical Physics
Published
2025-01-01
DOI
https://doi.org/10.7868/30183-1
Primary Topic
Aquatic and Environmental Studies
Type
article
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article

Equations of multimoment hydrodynamics in problem on flow around a sphere. 2. The basic asymmetric solution

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. 2. The basic asymmetric solution

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. In accordance with the general approach to solving the equations of multimoment hydrodynamics, a set of nonlinear first-order differential equations for unknown coefficients is derived. Numerical integration of the derived equations shows that a high value of the turbulence coefficient provides a transition from the basic axisymmetric solution to the basic weakly asymmetric solution. It was found that the asymmetric solution is not stable. The instability of the asymmetric solution creates prospects for interpreting the observed evolution of weakly asymmetric flow. It becomes possible to reproduce the vortex shedding observed at moderately high values of the Reynolds number. There are prospects for interpreting the turbulence that develops with a further increase in the Reynolds number.

Химическая физика / Advances in Chemical PhysicsVol. 44(6)
Openalex Percentile: Top 70%
Aquatic and Environmental Studies
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Equations of multimoment hydrodynamics in problem on flow around a sphere. 2. The basic asymmetric solution — I. V. Lebed · Химическая физика / Advances in Chemical Physics (2025) | TGRS Research Map | TGRS