Asymptotic expansion for a flow in a periodic porous medium

被引：3
|
作者：
Marusic-Paloka, E
机构：
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1997年 / 325卷 / 07期
关键词：
fluid flow; porous medium; homogenization; periodic medium;
D O I：
10.1016/S1251-8069(97)80065-6
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider a fluid flow in a porous medium Omega(epsilon), with a characteristic pore size E. Starring from the Navier-Stokes equations on the microscopic level and using the homogenization method we find the correctors for the classical Darcy's law governing the macroscopic flow.
引用
收藏
页码：369 / 374
页数：6
相关论文
共 50 条
  • [1] Asymptotic Analysis of Acoustic Waves in a Porous Medium: Microincompressible Flow
    Diaz-Alban, Jose
    Masmoudi, Nader
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (11) : 2125 - 2167
  • [2] MHD fluid flow through porous medium with periodic permeability
    Silva-Zea, R.
    Hamdan, M. H.
    Erazo-Bone, R.
    Chuchuca-Aguilar, F.
    Escobar-Segovia, K.
    [J]. CIENCIA UNEMI, 2022, 15 (39): : 1 - 13
  • [3] FLOW THROUGH A POROUS-MEDIUM WITH PERIODIC BARRIERS OR FRACTURES
    CHIRLIN, GR
    [J]. SOCIETY OF PETROLEUM ENGINEERS JOURNAL, 1985, 25 (03): : 358 - 362
  • [4] Flow of a concentrated emulsion with surfactant through a periodic porous medium
    Zinchenko, Alexander Z.
    Gissinger, Jacob R.
    Davis, Robert H.
    [J]. JOURNAL OF FLUID MECHANICS, 2022, 953
  • [5] Homogenization of the non-stationary Stokes flow in a periodic porous medium
    Sandrakov, GV
    [J]. DOKLADY AKADEMII NAUK, 1996, 347 (03) : 312 - 315
  • [6] ASYMPTOTIC EXPANSION OF THE SPECTRUM FOR PERIODIC SCHRODINGER OPERATORS
    Armstrong, Scott
    Venkatraman, Raghavendra
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (02) : 1770 - 1808
  • [7] ASYMPTOTIC-EXPANSION OF THE POROUS-MEDIUM, EFFECTIVE DIFFUSION-COEFFICIENT IN THE KNUDSEN NUMBER
    HO, FG
    STRIEDER, W
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1979, 70 (12): : 5635 - 5639
  • [8] A periodic solution of oscillatory couette flow through porous medium in rotating system
    Singh, KD
    Gorla, MG
    Raj, H
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2005, 36 (03): : 151 - 159
  • [9] Reactive flow in a porous medium: Formulation for spatially periodic hexagonally packed cylinders
    Rajesh, G
    Bhagat, RB
    Fichthorn, KA
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2000, 67 (04): : 749 - 757
  • [10] Effective parameters for two-phase flow in a porous medium with periodic heterogeneities
    Ataie-Ashtiani, B
    Hassanizadeh, SM
    Oostrom, M
    Celia, MA
    White, MD
    [J]. JOURNAL OF CONTAMINANT HYDROLOGY, 2001, 49 (1-2) : 87 - 109
12345