Exact Solutions to Navier–Stokes Equations Describing a Gradient Nonuniform Unidirectional Vertical Vortex Fluid Flow
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Exact Solutions to Navier–Stokes Equations Describing a Gradient Nonuniform Unidirectional Vertical Vortex Fluid Flow
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| Автор |
Burmasheva, N.
Prosviryakov, E. |
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| Тематика |
EXACT SOLUTION
METHOD OF SEPARATION OF VARIABLES NAVIER–STOKES EQUATION NONUNIFORM FLOW POISEUILLE FLOW SPECIFIC HELICITY SPECIFIC KINETIC ENERGY TANGENTIAL STRESS UNIDIRECTIONAL FLOW |
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| Описание |
The paper announces a family of exact solutions to Navier–Stokes equations describing gradient inhomogeneous unidirectional fluid motions (nonuniform Poiseuille flows). The structure of the fluid motion equations is such that the incompressibility equation enables us to establish the velocity defect law for nonuniform Poiseuille flow. In this case, the velocity field is dependent on two coordinates and time, and it is an arbitrary-degree polynomial relative to the horizontal (longitudinal) coordinate. The polynomial coefficients depend on the vertical (transverse) coordinate and time. The exact solution under consideration was built using the method of indefinite coefficients and the use of such algebraic operations was for addition and multiplication. As a result, to determine the polynomial coefficients, we derived a system of simplest homogeneous and inhomogeneous parabolic partial equations. The order of integration of the resulting system of equations was recurrent. For a special case of steady flows of a viscous fluid, these equations are ordinary differential equations. The article presents an algorithm for their integration. In this case, all components of the velocity field, vorticity vector, and shear stress field are polynomial functions. In addition, it has been noted that even without taking into account the thermohaline convection (creeping current) all these fields have a rather complex structure. © 2022 by the authors.
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| Дата |
2024-04-08T11:08:09Z
2024-04-08T11:08:09Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Burmasheva, N & Prosviryakov, E 2022, 'Exact Solutions to Navier–Stokes Equations Describing a Gradient Nonuniform Unidirectional Vertical Vortex Fluid Flow', Dynamics, Том. 2, № 2, стр. 175-186. https://doi.org/10.3390/dynamics2020009
Burmasheva, N., & Prosviryakov, E. (2022). Exact Solutions to Navier–Stokes Equations Describing a Gradient Nonuniform Unidirectional Vertical Vortex Fluid Flow. Dynamics, 2(2), 175-186. https://doi.org/10.3390/dynamics2020009 2673-8716 Final All Open Access; Gold Open Access https://www.mdpi.com/2673-8716/2/2/9/pdf?version=1655029158 https://www.mdpi.com/2673-8716/2/2/9/pdf?version=1655029158 http://elar.urfu.ru/handle/10995/131581 10.3390/dynamics2020009 85137121969 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Dynamics
Dynamics |
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