Isobaric Vortex Flow of a Viscous Incompressible Fluid with the Navier Boundary Condition

被引：4

作者：

Gorshkov, A. V. ^{[1
]}

Prosviryakov, E. Yu. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Engn Sci, 34 Komsomolskaya St, Ekaterinburg 620049, Russia

来源：

MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2018) | 2018年 / 2053卷

关键词：

SLIP;

D O I：

10.1063/1.5084468

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper considers isobaric vortex shear flow of a vertically swirled viscous incompressible fluid. The exact solution of the overdetermined system of Navier-Stokes equations for an incompressible fluid is computed. It is demonstrated that there are counterflows in the fluid when the Navier boundary condition is used to account for slippage.

引用

页数：5

共 50 条

[31] Visualization of Flow of a Viscous Incompressible Fluid Corresponding to Exact Solutions of the Navier-Stokes Equations
Galkin, V.A.
Dubovik, A.O.
Morgun, D.A.
[J]. Scientific Visualization, 2024, 16 (50): : 52 - 63
[32] On the Navier boundary condition for viscous fluids in rough domains
Casado-Díaz J.
Luna-Laynez M.
Suárez-Grau F.J.
[J]. SeMA Journal, 2012, 58 (1): : 5 - 24
[33] An asymptotic derivation of the initial condition for the incompressible and viscous external unsteady fluid flow problem
Zeytounian, RK
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2000, 38 (17) : 1983 - 1992
[34] Vortex-in-cell method combined with a boundary element method for incompressible viscous flow analysis
Kim, Yoo-Chul
Suh, Jung-Chun
Lee, Kyung-Jun
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2012, 69 (10) : 1567 - 1583
[35] An extended theory for incompressible viscous fluid flow
Green, AE
Naghdi, PM
[J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1996, 66 (2-3) : 233 - 255
[36] USING THE DIPOLE PARTICLES FOR SIMULATION OF 3D VORTEX FLOW OF A VISCOUS INCOMPRESSIBLE FLUID
Syrovatskii, Dmitrii A.
Dynnikova, Galina Ya.
Guvernyuk, Sergey V.
Arutunyan, Gurgen
[J]. PARTICLE-BASED METHODS IV-FUNDAMENTALS AND APPLICATIONS, 2015, : 692 - 701
[37] Optimal boundary control of steady-state flow of a viscous inhomogeneous incompressible fluid
Illarionov, AI
[J]. MATHEMATICAL NOTES, 2001, 69 (5-6) : 614 - 624
[38] Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows
G. B. Sizykh
[J]. Fluid Dynamics, 2019, 54 : 1038 - 1042
[39] Two-dimensional vortex motions of a viscous incompressible fluid
Gorskii, V.B.
[J]. Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika), 1992, 56 (03):
[40] THE 2-DIMENSIONAL VORTEX MOTIONS OF A VISCOUS INCOMPRESSIBLE FLUID
GORSKII, VB
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1992, 56 (03): : 451 - 452

← 1 2 3 4 5 →