Exact solution of 3d Navier–Stokes equations for potential motions of an incompressible fluid
- Authors: Koptev A.V.1
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Affiliations:
- Государственный университет морского и речного флота имени адмирала С. О. Макарова
- Issue: Vol 227 (2023)
- Pages: 41-50
- Section: Articles
- URL: https://journals.rcsi.science/2782-4438/article/view/261830
- DOI: https://doi.org/10.36535/0233-6723-2023-227-41-50
- ID: 261830
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Abstract
A procedure for constructing an exact solution of the 3D Navier–Stokes equations for the case of potential motion of an incompressible fluid in a deep, large-volume reservoir is proposed. The solution is considered under asymptotic boundary conditions that correspond to a given value of the velocity vector at great depth. The procedure for constructing a solution is based on the integral of the 3D Navier–Stokes equations. By introducing functions of a complex variable, the problem is reduced to a system of Riccati equations, which can be solved analytically. The qualitative features of the solution are examined.
About the authors
A. V. Koptev
Государственный университет морского и речного флота имени адмирала С. О. Макарова
Author for correspondence.
Email: Alex.Koptev@mail.ru
Russian Federation, Санкт-Петербург
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