Three-dimensional Steady Flow of Viscoelastic Fluid past an Obstacle

被引：5
|
作者：
Novotny, Antonin [1 ]
Pokorny, Milan [2 ]
机构：
[1] Univ Toulon & Var, Lab ANLA, BP 132, F-83957 La Garde, France
[2] Palacky Univ, Fac Sci, Dept Math Anal & Applicat Math, CZ-77900 Olomouc, Czech Republic
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2000年 / 2卷 / 03期
关键词：
Viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates;
D O I：
10.1007/PL00000956
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the three-dimensional steady flow of certain classes of viscoelastic fluids in exterior domains with non-zero velocity prescribed at infinity. We show that the solution behaves near infinity similarly as the fundamental solution to the Oseen problem.
引用
收藏
页码：294 / 314
页数：21
相关论文
共 50 条
  • [1] Three-dimensional Steady Flow of Viscoelastic Fluid past an Obstacle
    A. Novotný
    M. Pokorný
    [J]. Journal of Mathematical Fluid Mechanics, 2000, 2 : 294 - 314
  • [2] Steady plane flow of viscoelastic fluid past an obstacle
    Novotny A.
    Pokorny M.
    [J]. Applications of Mathematics, 2002, 47 (03) : 231 - 254
  • [3] Steady flow of viscoelastic fluid past an obstacle - Asymptotic behaviour of solutions
    Pokorny, M
    [J]. PARTIAL DIFFERENTIAL EQUATIONS: THEORY AND NUMERICAL SOLUTION, 2000, 406 : 283 - 289
  • [4] Viscoelastic fluid flow past a confined cylinder: Three-dimensional effects and stability
    Ribeiro, V. M.
    Coelho, P. M.
    Pinho, F. T.
    Alves, M. A.
    [J]. CHEMICAL ENGINEERING SCIENCE, 2014, 111 : 364 - 380
  • [5] Steady three-dimensional unbounded flow past an obstacle continuously deviating from a sphere to a cube
    Jbara, Layal
    Ghigo, Arthur
    Wachs, Anthony
    [J]. PHYSICS OF FLUIDS, 2023, 35 (01)
  • [6] On Mass Transfer in Three-Dimensional Flow of a Viscoelastic Fluid
    Hayat, T.
    Mustafa, M.
    Sajid, M.
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (04) : 915 - 936
  • [7] Fluid deformation in random steady three-dimensional flow
    Lester, Daniel R.
    Dentz, Marco
    Le Borgne, Tanguy
    de Barros, Felipe P. J.
    [J]. JOURNAL OF FLUID MECHANICS, 2018, 855 : 770 - 803
  • [8] ON THE STEADY FLOW OF A FLUID OF VARIABLE DENSITY PAST AN OBSTACLE
    DRAZIN, PG
    [J]. TELLUS, 1961, 13 (02): : 239 - 251
  • [9] Complementary modes of impulse generation for flow past a three-dimensional obstacle
    Summers, D. M.
    [J]. THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2007, 21 (01) : 15 - 38
  • [10] Complementary modes of impulse generation for flow past a three-dimensional obstacle
    D. M. Summers
    [J]. Theoretical and Computational Fluid Dynamics, 2007, 21 : 15 - 38
12345