Simulating fluid flow over sinusoidal surfaces using the lattice Boltzmann method

被引:19
作者
Al-Zoubi, Ahmad [1 ]
Brenner, Gunther [1 ]
机构
[1] Tech Univ Clausthal, Inst Appl Mech, D-38678 Clausthal Zellerfeld, Germany
关键词
lattice Boltzmann; CFD; flow factors sinusoidal surface;
D O I
10.1016/j.camwa.2007.08.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The objective of this paper is to analyze the laminar flow of a Newtonian fluid, pressurized and sheared, through a two-dimensional channel with one sinusoidal wall. The motivation of this work is the investigation of shear flows in lubrication. The effects of Reynolds number and the geometrical dimensions on the velocity distributions and on the flow factors are studied numerically using the lattice Boltzmann method (LBM). The results are verified with analytical and other numerical solutions. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1365 / 1376
页数:12
相关论文
共 35 条
  • [1] LATTICE BOLTZMANN THERMOHYDRODYNAMICS
    ALEXANDER, FJ
    CHEN, S
    STERLING, JD
    [J]. PHYSICAL REVIEW E, 1993, 47 (04) : R2249 - R2252
  • [2] ALZOUBI A, 2006, THESIS TESCHNICHE U
  • [3] Massively parallel lattice-Boltzmann simulation of turbulent channel flow
    Amati, G
    Succi, S
    Piva, R
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1997, 8 (04): : 869 - 877
  • [4] BRENNER G, 2002, HABILITATIONSSCHRIFT
  • [5] Homogenization of the generalized Reynolds equation for ultra-thin gas films and its resolution by FEM
    Buscaglia, GC
    Jai, M
    [J]. JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 2004, 126 (03): : 547 - 552
  • [6] Multiple-relaxation-time lattice Boltzmann models in three dimensions
    d'Humières, D
    Ginzburg, I
    Krafczyk, M
    Lallemand, P
    Luo, LS
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 360 (1792): : 437 - 451
  • [7] LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION
    FRISCH, U
    HASSLACHER, B
    POMEAU, Y
    [J]. PHYSICAL REVIEW LETTERS, 1986, 56 (14) : 1505 - 1508
  • [8] MOLECULAR-DYNAMICS OF A CLASSICAL LATTICE GAS - TRANSPORT PROPERTIES AND TIME CORRELATION-FUNCTIONS
    HARDY, J
    DEPAZZIS, O
    POMEAU, Y
    [J]. PHYSICAL REVIEW A, 1976, 13 (05): : 1949 - 1961
  • [9] A priori derivation of the lattice Boltzmann equation
    He, XY
    Luo, LS
    [J]. PHYSICAL REVIEW E, 1997, 55 (06) : R6333 - R6336
  • [10] Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model
    He, XY
    Zou, QS
    Luo, LS
    Dembo, M
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1997, 87 (1-2) : 115 - 136