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

[41] On incompressible viscous fluid flows with slip boundary conditions
Watanabe, J
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 159 (01) : 161 - 172
[42] Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows
Sizykh, G. B.
[J]. FLUID DYNAMICS, 2019, 54 (08) : 1038 - 1042
[43] Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid
A. I. Illarionov
[J]. Mathematical Notes, 2001, 69 : 614 - 624
[44] Flow of a viscous incompressible fluid around a body: Boundary-value problems and minimization of the work of a fluid
Fursikov A.V.
[J]. Journal of Mathematical Sciences, 2012, 180 (6) : 763 - 816
[45] On the "viscous incompressible fluid plus rigid body" system with Navier conditions
Planas, Gabriela
Sueur, Franck
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (01): : 55 - 80
[46] Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel
J. A. Gbadeyan
J. U. Abubakar
T. L. Oyekunle
[J]. Journal of the Egyptian Mathematical Society, 28 (1)
[47] Solvability of a free boundary problem for the Navier-Stokes equations describing the motion of viscous incompressible nonhomogeneous fluid
Frolova, E
[J]. Trends in Partial Differential Equations of Mathematical Physics, 2005, 61 : 109 - 124
[48] Unidirectional Convective Flow of Viscous Incompressible Fluid in a Closed Horizontal Layer with the Perfect Slip Condition
Burmasheva, N., V
Larina, E. A.
Prosviryakov, E. Yu
[J]. MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2020): PROCEEDING OF THE 14TH INTERNATIONAL CONFERENCE ON MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES, 2020, 2315
[49] NAVIER-STOKES INITIAL VALUE PROBLEM FOR BOUNDARY-FREE INCOMPRESSIBLE FLUID FLOW
ROSEN, G
[J]. PHYSICS OF FLUIDS, 1970, 13 (12) : 2891 - &
[50] The approximations of the exact boundary condition at an artificial boundary for linearized incompressible viscous flows
Bao, WZ
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1998, 16 (03) : 239 - 256

← 1 2 3 4 5 →