Application of homogenization theory related to stokes flow in porous media

被引：11
|
作者：
Bang B. [1 ]
Lukkassen D. [2 ]
机构：
[1] Dept. of Eng. Design and Production, HiN, Narvik Institute of Technology
[2] Department of Mathematics, HiN, Narvik Technol. A/S NORUT T.
来源：
Applications of Mathematics | 1999年 / 44卷 / 4期
关键词：
Homogenization theory; Numerical experiments; Porous media; Stokes flow;
D O I：
10.1023/A:1023084614058
中图分类号：
学科分类号：
摘要：
We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered.
引用
收藏
页码：309 / 319
页数：10
相关论文
共 50 条
  • [41] Erratum to: Weakly periodic boundary conditions for the homogenization of flow in porous media
    Carl Sandström
    Fredrik Larsson
    Kenneth Runesson
    Advanced Modeling and Simulation in Engineering Sciences, 2 (1)
  • [42] Homogenization of ferrofluid flow models in porous media with Langevin magnetization law
    Amirat, Youcef
    Hamdache, Kamel
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 525 (01)
  • [43] Solution of two-dimensional stokes flow with elliptical coordinates and its application to permeability of porous media
    Hellou, Mustapha
    Lominé, Franck
    Bourbatache, Mohamed Khaled
    Hajjam, Mohamed
    Journal of Applied Mechanics, Transactions ASME, 2021, 88 (06):
  • [44] Solution of Two-Dimensional Stokes Flow With Elliptical Coordinates and Its Application to Permeability of Porous Media
    Hellou, Mustapha
    Lomine, Franck
    Bourbatache, Mohamed Khaled
    Hajjam, Mohamed
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2021, 88 (06):
  • [45] HOMOGENIZATION OF 1ST ORDER HYPERBOLIC-EQUATIONS AND APPLICATION TO MISCIBLE FLOW IN POROUS-MEDIA
    AMIRAT, Y
    HAMDACHE, K
    ZIANI, A
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1989, 6 (05): : 397 - 417
  • [46] On homogenization of stokes flow in slowly varying media with applications to fluid-structure interaction
    Brown, Donald L.
    Popov, Peter
    Efendiev, Yalchin
    GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS, 2011, 2 (02) : 281 - 305
  • [47] THEORY OF COALESCENCE BY FLOW THROUGH POROUS MEDIA
    SPIELMAN, LA
    GOREN, SL
    INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1972, 11 (01): : 66 - &
  • [48] Review on mesoscopic flow theory in porous media
    Zhu, Wei-Yao
    Li, Hua
    Deng, Qing-Jun
    Ma, Qi-Peng
    Liu, Ya-Jing
    Gongcheng Kexue Xuebao/Chinese Journal of Engineering, 2022, 44 (05): : 951 - 962
  • [49] THEORY OF FLUID FLOW IN UNDEFORMABLE POROUS MEDIA
    不详
    JOURNAL OF PETROLEUM TECHNOLOGY, 1966, 18 (06): : 712 - &
  • [50] Fluid Flow Concentration on Preferential Paths in Heterogeneous Porous Media: Application of Graph Theory
    Tang, Y. B.
    Zhao, J. Z.
    Bernabe, Y.
    Li, M.
    JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2021, 126 (12)
12345