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Обтекание вязкой жидкостью динамически изменяющейся во времени поверхности с малыми неровностями

С. 64–67.
Gaydukov R.
Language: Russian
Keywords: двухпалубная структурадинамическая поверхность
Publication based on the results of:
Mathematical modeling of transfer processes in complex physical systems, including quantum ones (2021)

In book

Волны и вихри в сложных средах: 12-ая международная конференция – школа молодых ученых; 01 – 03 декабря 2021 ., Москва: Сборник материалов школы.
ООО «ИСПО- принт», 2021.
Similar publications
On boundary layer separation criterion in the framework of double-deck model
Gaydukov R. K., Lungin L. E., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 3 P. 537–547
This study numerically investigates boundary layer separation criteria for flows over small surface irregularities on a flat plate at high Reynolds numbers using the double-deck model framework.          By solving the Prandtl equations with self-induced pressure, critical amplitude values (i.e. the height of a hump or the depth of a pit) separating attached laminar flow ...
Added: April 21, 2026
Modeling of fluid flow along a small heated irregularity on the plate surface in the framework of double-deck boundary layer structure
Gaydukov R. K., Indian Journal of Pure and Applied Mathematics 2026 Vol. 57 No. 3 P. 808–825
The paper is deals with the heat transfer in the laminar flow of a viscous incompressible fluid along a plate with a small heated localized irregularity. It is well known that double- and triple-deck structures of the boundary layer arise in such flow problems. These structures make it possible, among other things, to describe the phenomenon of ...
Added: May 21, 2024
Существование решения уравнения типа Рэлея на полубесконечном цилиндре с потенциалом кулоновского типа
Gaydukov R., Сибирские электронные математические известия 2024 Т. 21 № 1 С. 178–187
In this paper we study a Rayleigh-type equation on a semi-infinite cylinder with a Coulomb-type potential.  This equation arises in the double-deck boundary layer structure in the problem of flow induced by a uniformly rotating disk with small periodic irregularities on its surface for large Reynolds numbers. Using combined numerical and analytical approach, the existence of ...
Added: February 17, 2024
Modeling the Ice–Water Phase Transition in a Tube with Small Ice Buildups on the Wall
R. K. Gaydukov, V. G. Danilov, Computational Mathematics and Mathematical Physics 2024 Vol. 64 No. 6 P. 1317–1325
Mathematical modeling of the ice–water phase transition during liquid flow inside a pipe with a small ice buildup on the wall at high Reynolds numbers is considered. As a mathematical model describing the dynamics of the phase transition, a double-deck boundary layer model and a phase field system are used. Results of numerical simulation are presented. ...
Added: February 17, 2024
Двухпалубная структура пограничного слоя в трехмерной задаче обтекания малой неровности на поверхности пластины
Буров Н. А., Gaydukov R., Многофазные системы 2023 Т. 18 № 3 С. 192–195
В работе описана двухпалубная стурктура пограничного слоя в трехмерной задаче обтекания малой локализованной неровности на поверхности пластины при больших значениях числа Рейнольдса ...
Added: January 11, 2024
Двухпалубная структура пограничного слоя в течении индуцированным равномерно вращающимся диском с малыми периодическими неровностями на поверхности
Gaydukov R., Fonaryova A., В кн.: Волны и вихри в сложных средах: 12-ая международная конференция – школа молодых ученых; 01 – 03 декабря 2021 ., Москва: Сборник материалов школы.: ООО «ИСПО- принт», 2021..
Рассмотрена задача о течении, индуцированном вращающимся диском с малыми периодическими (быстроосциллирующими) неровностями на его поверхности. ...
Added: December 14, 2021
АЛГОРИТМ ЧИСЛЕННОГО РЕШЕНИЯ СИСТЕМЫ УРАВНЕНИЙ ПРАНДТЛЯ С ИНДУЦИРОВАННЫМ ДАВЛЕНИЕМ В ПЕРИОДИЧЕСКОМ СЛУЧАЕ
Gaydukov R., Сибирский журнал вычислительной математики 2022 Т. 15 № 2 С. 97–109
A viscous liquid flow along a semi-infinite plate with small periodic irregularities on the surface was considered for large Reynolds numbers. The flow near the plate is described by Prandtl equations with induced pressure which are non-classical PDE, because they contain a limiting term. The main goal is to construct a numerical algorithm for solving these equations with ...
Added: June 10, 2020
Многопалубные структуры в задачах обтекания поверхностей с малыми периодическими возмущениями
Gaydukov R., Danilov V., В кн.: XII Всероссийский съезд по фундаментальным проблемам теоретической и прикладной механики: сборник трудов в 4 томах.Т. 2: Механика жидкости и газа.: Уфа: РИЦ БашГУ, 2019. С. 92–94.
В докладе приводится детальное описание нестационарных двухпалубных и трехпалубных структур пограничного слоя. А именно, рассматривается нестационарная задача обтекания вязкой несжимаемой жидкостью полубесконечной пластины с малыми периодическими неровностями при больших значениях числа Рейнольдса. Построено формальное асимптотическое решение, имеющее двух- или трехпалубную структуру пограничного слоя, в зависимости от масштабов неровности. Полученные уравнения для членов асимптотического решения исследованы ...
Added: November 1, 2019
A Compressible Fluid Flow with Double-Deck Structure Inside an Axially Symmetric Wavy-Wall Pipe
Gaydukov R. K., Fonareva A. V., Russian Journal of Mathematical Physics 2019 Vol. 26 No. 3 P. 334–343
The problem of viscous compressible fluid flow in an axially symmetric pipe with small periodic irregularities on the wall is considered for large Reynolds numbers. An asymptotic solution with double-deck structure of the boundary layer and unperturbed core flow is obtained. Numerical investigations of the influence of the density of the core flow on the flow behavior in ...
Added: September 2, 2019
Double-deck structure of the boundary layer in the problem of a compressible flow along a plate with small irregularities on the surface
Gaydukov R. K., European Journal of Mechanics - B/Fluids 2017 Vol. 66 P. 102–108
We consider the problem of a viscous compressible subsonic fluid  flow along a flat plate with small periodic irregularities on the surface for large Reynolds numbers. We obtain a formal asymptotic solution with double-deck structure of the boundary layer. We present the results of numerical simulation of flow in the thin boundary layer (i.e., in ...
Added: July 9, 2017
Double-deck structure of the boundary layer in the problem of flow in an axially symmetric pipe with small irregularities on the wall for large Reynolds numbers
Danilov V. G., Gaydukov R. K., Russian Journal of Mathematical Physics 2017 Vol. 24 No. 1 P. 1–18
The problem of flow of a viscous incompressible fluid in an axially symmetric pipe with small irregularities on the wall is considered. An asymptotic solution of the problem with the double-deck structure of the boundary layer and the unperturbed flow in the environment (the “core flow”) is obtained. The results of flow numerical simulation in ...
Added: September 28, 2016
Double-deck structures of boundary layers in flows
Gaidukov R.K., Danilov V.G., , in: Abstracts: Russian-French Workshop “Mathematical Hydrodynamics”, August 22–27, 2016.: Novosibirsk: [б.и.], 2016. P. 20–22.
We consider a non-stationary problem of an incompressible viscous fluid flow along surfaces with small irregularities for large Reynolds number, which have a formal asymptotic solution with a double-deck structure of the boundary layer. ...
Added: September 28, 2016
Асимптотики решений задач обтекания несжимаемой жидкостью поверхностей c малыми неровностями при больших числах Рейнольдса
Gaydukov R., Danilov V., Наноструктуры. Математическая физика и моделирование 2016 Т. 15 № 1 С. 5–102
We study the existence conditions for a double-deck structure of a boundary layer in typical problems of incompressible fluid flow along surfaces with small irregularities (periodic or localized) for large Reynolds number. We obtain characteristic scales (a power of a small parameter included in a solution) which lead to the double-deck structure, and we obtain ...
Added: September 27, 2016
Double-Deck Structure of the Boundary Layer in Problems of Flow around Localized Perturbations on a Plate
Danilov V., Gaydukov R., Mathematical notes 2015 Vol. 98 No. 4 P. 561–571
We consider the problem of a viscous incompressible fluid flow along a flat plate with a small solitary perturbation (of hump, step, or corner type) for large Reynolds numbers. We obtain an asymptotic solution in which the boundary layer has a double-deck structure. ...
Added: September 27, 2015
Vortices in the Prandtl boundary layer induced by irregularities on a plate
Danilov V., Gaydukov R., Russian Journal of Mathematical Physics 2015 Vol. 22 No. 2 P. 161–173
A fluid flow along a plate with small irregularities on the surface is considered for large Reynolds numbers. The boundary layer has a double-deck structure, i.e., both a thin boundary layer and the classical Prandtl boundary layer are present. It is proved that the solution of the boundary-value problem thus obtained exists and is unique ...
Added: September 3, 2015
Вихревые течения в пограничных слоях вдоль поверхностей с малыми неровностями
Danilov V., Gaydukov R., В кн.: Волны и вихри в сложных средах: 5-ая Международная научная школа молодых ученых.: М.: МАКС Пресс, 2014. С. 154–157.
Получено асимптотическое решение задачи о течении несжимаемой вязкой жидкости в двумерном канале с малыми неровностями на стенках при больших числах Рейнольдса, а также для случая аксиально-симметричной трубы. Показано, что пограничный слой имеет двухпалубную структуру:  тонкий пристеночный пограничный слой, и «толстый» пограничный слой. Представлены результаты численного моделирования течения в пограничных слоях ...
Added: December 24, 2014
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