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Three-dimensional flow of ideal fluid with precessing vortex lines (exact solutions)

Journal of Mathematical Fluid Mechanics. 2025. Vol. 27. Article 59.
Abrashkin A. A.

Three-dimensional hydrodynamic equations of ideal incompressible fluid in Lagrangian form are considered. Their explicit solution is obtained. The trajectories of fluid particles are complex spatial curves depending on four frequencies. The vortex lines precess around the vertical axis. Their shape is determined by an arbitrary function depending on the axial Lagrangian coordinate. It is shown that the rotation axis is directed to the plane of vortex lines at some nonzero angle.

Research target: Physics
Language: English
Full text
DOI
Keywords: Euler equationsуравнение ЭйлераLagrangian variablesточные решенияVorticityзавихренностьExplicit solutionsЛагранжевые переменные
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