Exponential attractor for a planar shear-thinning flow

被引：2
|
作者：
Prazak, Dalibor [1 ]
机构：
[1] Charles Univ Prague, Dept Math Anal, Prague 18675 8, Czech Republic
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 17期
关键词：
exponential attractor; fractal dimension; non-Newtonian fluids;
D O I：
10.1002/mma.885
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the dynamics of an incompressible, homogeneous fluid of a power-law type, with the stress tensor T = nu(1 + mu|D nu|)Dp-2 nu, where D nu is a symmetric velocity gradient. We consider the two-dimensional problem with periodic boundary conditions and p epsilon (1, 2). Under these assumptions, we estimate the fractal dimension of the exponential attractor, using the so-called method of l-trajectories. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：2197 / 2214
页数：18
相关论文
共 50 条
  • [1] Pipe flow of shear-thinning fluids
    Lopez-Carranza, Santiago Nicolas
    Jenny, Mathieu
    Nouar, Cherif
    [J]. COMPTES RENDUS MECANIQUE, 2012, 340 (08): : 602 - 618
  • [2] On the existence of an exponential attractor for a planar shear flow with the Tresca friction condition
    Lukaszewicz, Grzegorz
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (03) : 1585 - 1600
  • [3] Unsteady shear-thinning behaviour of nanofluid flow over exponential stretching/shrinking cylinder
    Hussain, Faizan
    Hussain, Azad
    Nadeem, Sohail
    [J]. JOURNAL OF MOLECULAR LIQUIDS, 2022, 345
  • [4] FLOW OF SHEAR-THINNING FLUIDS IN A CONCENTRIC ANNULUS
    ESCUDIER, MP
    GOULDSON, IW
    JONES, DM
    [J]. EXPERIMENTS IN FLUIDS, 1995, 18 (04) : 225 - 238
  • [5] Flow around a squirmer in a shear-thinning fluid
    Pietrzyk, Kyle
    Nganguia, Herve
    Datt, Charu
    Zhu, Lailai
    Elfring, Gwynn J.
    Pak, On Shun
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2019, 268 : 101 - 110
  • [6] Turbulent pipe flow of shear-thinning fluids
    Rudman, M
    Blackburn, HM
    Graham, LJW
    Pullum, L
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2004, 118 (01) : 33 - 48
  • [7] Shear-thinning flow in weakly modulated channels
    Abu-Ramadan, E
    Khayat, RE
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2005, 48 (05) : 467 - 499
  • [8] Flow of a shear-thinning fluid in a rectangular duct
    Barmak, Ilya
    Picchi, Davide
    Gelfgat, Alexander
    Brauner, Neima
    [J]. PHYSICAL REVIEW FLUIDS, 2024, 9 (02):
  • [9] Lyapunov exponents and the dimension of the attractor for 2D shear-thinning incompressible
    Kaplicky, Peter
    Prazak, Dalibor
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 20 (04): : 961 - 974
  • [10] On the Shear-Thinning of Alkanes
    Hongyu Gao
    Martin H. Müser
    [J]. Tribology Letters, 2024, 72
12345