New Class of Exact Solutions of Navier–Stokes Equations with Exponential Dependence of Velocity on Two Spatial Coordinates
- Autores: Prosviryakov E.Y.1
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Afiliações:
- Institute of Engineering Science, Ural Branch, Russian Academy of Sciences
- Edição: Volume 53, Nº 1 (2019)
- Páginas: 107-114
- Seção: Article
- URL: https://bakhtiniada.ru/0040-5795/article/view/172822
- DOI: https://doi.org/10.1134/S0040579518060088
- ID: 172822
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Resumo
A new class of exact solutions of nonlinear and linearized Navier–Stokes equations has been proposed, which generalize the well-known family of exact solutions in which the velocity is linear in some coordinates. The case of the quadratic dependence of the velocities on two horizontal (longitudinal) coordinates with coefficients that are the functions of the vertical (transverse) coordinate and time was considered in detail. The solutions were generalized for rotating liquids. Equations for constructing exact solutions with an arbitrary dependence of velocities on the horizontal coordinates were derived.
Sobre autores
E. Prosviryakov
Institute of Engineering Science, Ural Branch, Russian Academy of Sciences
Autor responsável pela correspondência
Email: evgen_pros@mail.ru
Rússia, Yekaterinburg, 620049
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