Nonlinear flow in porous media

被引：66
|
作者：
Rojas, S
Koplik, J
机构：
[1] CUNY City Coll, Levich Inst, New York, NY 10031 USA
[2] CUNY City Coll, Dept Phys, New York, NY 10031 USA
来源：
PHYSICAL REVIEW E | 1998年 / 58卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.58.4776
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The flow of an incompressible Liquid at nonzero Reynolds number Re in a two-dimensional model porous medium is studied via numerical simulation. The geometry is a random array of cylinders of square cross section and spectral element methods are used. We find a transition from linear Darcy flow at vanishing Re, to a cubic transitional regime at low Re, and then a quadratic Forchheimer when Re=0(1). In addition, some general remarks on scaling behavior and the form of the flow equation at finite Re are presented. [S1063-651X(98)13210-5].
引用
收藏
页码：4776 / 4782
页数：7
相关论文
共 50 条
  • [41] Effect of absorption boundary layer on nonlinear flow in low permeability porous media
    Xue-wu Wang
    Zheng-ming Yang
    Ya-dong Qi
    Yan-zhang Huang
    Journal of Central South University of Technology, 2011, 18 : 1299 - 1303
  • [42] Nonlinear dynamics in flow through unsaturated fractured porous media: Status and perspectives
    Faybishenko, B
    REVIEWS OF GEOPHYSICS, 2004, 42 (02) : RG20031 - 30
  • [43] The Effect of Grain Size Distribution on Nonlinear Flow Behavior in Sandy Porous Media
    van Lopik, Jan H.
    Snoeijers, Roy
    van Dooren, Teun C. G. W.
    Raoof, Amir
    Schotting, Ruud J.
    TRANSPORT IN POROUS MEDIA, 2017, 120 (01) : 37 - 66
  • [44] GROUND SUBSIDENCE DUE TO NONLINEAR FLOW THROUGH DEFORMABLE POROUS-MEDIA
    MADHAV, MR
    BASAK, P
    JOURNAL OF HYDROLOGY, 1977, 34 (1-2) : 21 - 33
  • [45] An Enriched Galerkin (EG) method for multicomponent porous media flow with nonlinear coupling
    Tang, Dongchun
    Sun, Shuyu
    Feng, Minfu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 146
  • [46] Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media
    Chen, ZM
    Deng, WB
    Ye, HA
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2005, 3 (04) : 493 - 515
  • [47] Study on fluid flow in nonlinear elastic porous media: Experimental and modeling approaches
    Ju, Binshan
    Wu, Yushu
    Fan, Tailiang
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2011, 76 (3-4) : 205 - 211
  • [48] Iterative Methods with Nonconforming Time Grids for Nonlinear Flow Problems in Porous Media
    Hoang, Thi-Thao-Phuong
    Pop, Iuliu Sorin
    ACTA MATHEMATICA VIETNAMICA, 2023, 48 (01) : 29 - 49
  • [49] Effect of absorption boundary layer on nonlinear flow in low permeability porous media
    王学武
    杨正明
    齐亚东
    黄延章
    JournalofCentralSouthUniversityofTechnology, 2011, 18 (04) : 1299 - 1303
  • [50] Effect of absorption boundary layer on nonlinear flow in low permeability porous media
    Wang Xue-wu
    Yang Zheng-ming
    Qi Ya-dong
    Huang Yan-zhang
    JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2011, 18 (04): : 1299 - 1303
12345