A lattice Boltzmann model for Jeffreys viscoelastic fluid

被引：70
|
作者：
Giraud, L
D'Humieres, D
Lallemand, P
机构：
[1] CNRS, Lab ASCI, F-91405 Orsay, France
[2] Univ Paris 06, Ecole Normale Super, Phys Stat Lab, F-75321 Paris 05, France
[3] Univ Paris 07, F-75321 Paris 05, France
来源：
EUROPHYSICS LETTERS | 1998年 / 42卷 / 06期
关键词：
D O I：
10.1209/epl/i1998-00296-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this letter, we show that an eleven-velocity two-dimensional lattice Boltzmann model using several relaxation times obeys a Jeffreys viscoelastic constitutive law with full isotropic behavior. The connection between the free parameters of the model and the Jeffreys transport coefficients is made with the help of a modified Chapman Enskog expansion taking into account large relaxation time effects. Numerical simulation of a pulsed Couette flow is performed leading to an excellent agreement with predictions.
引用
收藏
页码：625 / 630
页数：6
相关论文
共 50 条
  • [1] Lattice Boltzmann model for three-phase viscoelastic fluid flow
    Xie, Chiyu
    Lei, Wenhai
    Wang, Moran
    [J]. PHYSICAL REVIEW E, 2018, 97 (02)
  • [2] Lattice Boltzmann method for the simulation of viscoelastic fluid flows
    Malaspinas, O.
    Fietier, N.
    Deville, M.
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2010, 165 (23-24) : 1637 - 1653
  • [3] Basic viscoelastic fluid flow problems using the Jeffreys model
    Khadrawi, AF
    Al-Nimr, MA
    Othman, A
    [J]. CHEMICAL ENGINEERING SCIENCE, 2005, 60 (24) : 7131 - 7136
  • [4] Lattice Boltzmann method coupled with the Oldroyd-B constitutive model for a viscoelastic fluid
    Su, Jin
    Ouyang, Jie
    Wang, Xiaodong
    Yang, Binxin
    [J]. PHYSICAL REVIEW E, 2013, 88 (05):
  • [5] Lattice Boltzmann simulations of a viscoelastic shear-thinning fluid
    Papenkort, S.
    Voigtmann, Th.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2015, 143 (04):
  • [6] Lattice Boltzmann model for compressible fluid on a square lattice
    Sun, CH
    [J]. CHINESE PHYSICS LETTERS, 2000, 17 (10) : 743 - 745
  • [7] A hybrid lattice Boltzmann model for simulating viscoelastic instabilities
    Dzanic, V
    From, C. S.
    Sauret, E.
    [J]. COMPUTERS & FLUIDS, 2022, 235
  • [8] Lattice Boltzmann simulation of transverse wave travelling in Maxwell viscoelastic fluid
    Li, HB
    Fang, HP
    [J]. CHINESE PHYSICS, 2004, 13 (12): : 2087 - 2090
  • [9] Lattice Boltzmann model for magnetic fluid interfaces
    V. Sofonea
    W.-G. Früh
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 2001, 20 : 141 - 149
  • [10] Thermal lattice Boltzmann model for compressible fluid
    Sun, CH
    [J]. CHINESE PHYSICS LETTERS, 2000, 17 (03) : 209 - 211
12345