Curl Equation in Viscous Hydrodynamics in a Channel of Complex Geometry Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2023, Volume: 17, Number: 4, Pages: 892-900 Pages count : 9 DOI: 10.1134/s1990478923040166 | ||
| Tags | Navier–Stokes equations, curvilinear coordinate system, streamline, streamline curvature, consistency condition, curl equation | ||
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Abstract:
We consider the Navier–Stokes equations for the plane steady motion of a viscous incompressible fluid in an orthogonal coordinate system in which the fluid streamlines coincide with the coordinate lines of one of the families of the orthogonal coordinate system. In this coordinate system, the velocity vector has only the tangential component and the system of three Navier–Stokes equations is an overdetermined system for two functions—the tangential component of velocity and pressure. In the present paper, the system is brought to involution, and the consistency conditions are obtained, which are the equations for the curl of the velocity in this coordinate system. The coefficients of these equations include the curvatures of the coordinate lines and their derivatives up to the second order. The equations obtained are significantly more complicated than the curl equations in a channel of simple geometry.
Cite:
Vasyutkin S.A.
, Chupakhin A.P.
Curl Equation in Viscous Hydrodynamics in a Channel of Complex Geometry
Journal of Applied and Industrial Mathematics. 2023. V.17. N4. P.892-900. DOI: 10.1134/s1990478923040166 Scopus РИНЦ OpenAlex
Curl Equation in Viscous Hydrodynamics in a Channel of Complex Geometry
Journal of Applied and Industrial Mathematics. 2023. V.17. N4. P.892-900. DOI: 10.1134/s1990478923040166 Scopus РИНЦ OpenAlex
Original:
Васюткин С.А.
, Чупахин А.П.
УРАВНЕНИЕ ДЛЯ ВИХРЯ В ВЯЗКОЙ ГИДРОДИНАМИКЕ В КАНАЛЕ СЛОЖНОЙ ГЕОМЕТРИИ
Сибирский журнал индустриальной математики. 2023. Т.26. №4 (96). С.5-15. DOI: 10.33048/SIBJIM.2023.26.401 РИНЦ
УРАВНЕНИЕ ДЛЯ ВИХРЯ В ВЯЗКОЙ ГИДРОДИНАМИКЕ В КАНАЛЕ СЛОЖНОЙ ГЕОМЕТРИИ
Сибирский журнал индустриальной математики. 2023. Т.26. №4 (96). С.5-15. DOI: 10.33048/SIBJIM.2023.26.401 РИНЦ
Dates:
| Submitted: | Apr 21, 2023 |
| Accepted: | Nov 1, 2023 |
| Published print: | Feb 16, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85185259279 |
| Elibrary: | 64762882 |
| OpenAlex: | W4391901752 |
Citing:
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