Hele-Shaw flow with a small obstacle

被引:0
|
作者
Gennady Mishuris
Sergei Rogosin
Michal Wrobel
机构
[1] Aberystwyth University,Department of Mathematical and Physical Sciences
[2] Belarusian State University,Department of Economics
来源
Meccanica | 2014年 / 49卷
关键词
Hele-Shaw flow; Obstacle; Green’s function ; Neumann function; Asymptotic analysis; 76D27; 35J25; 35R35;
D O I
暂无
中图分类号
学科分类号
摘要
Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green’s and Neumann functions recently obtained by Maz’ya and Movchan. Theoretical results are illustrated by the numerical simulations.
引用
收藏
页码:2037 / 2047
页数:10
相关论文
共 50 条
  • [1] Hele-Shaw flow with a small obstacle
    Mishuris, Gennady
    Rogosin, Sergei
    Wrobel, Michal
    MECCANICA, 2014, 49 (09) : 2037 - 2047
  • [2] PERTURBING HELE-SHAW FLOW WITH A SMALL GAP GRADIENT
    ZHAO, H
    CASADEMUNT, J
    YEUNG, C
    MAHER, JV
    PHYSICAL REVIEW A, 1992, 45 (04): : 2455 - 2460
  • [3] Perturbing Hele-Shaw flow with a small gap gradient
    Zhao, H.
    Casademunt, J.
    Yeung, C.
    Maher, J.V.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1993, 48 (02):
  • [4] Secondary flow in a Hele-Shaw cell
    Balsa, TF
    JOURNAL OF FLUID MECHANICS, 1998, 372 : 25 - 44
  • [5] Meshless simulation of Hele-Shaw flow
    Bernal, Francisco
    Kindelan, Manuel
    PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006, 2008, 12 : 677 - 682
  • [6] SECONDARY FLOW IN A HELE-SHAW CELL
    THOMPSON, BW
    JOURNAL OF FLUID MECHANICS, 1968, 31 : 379 - &
  • [7] Instabilities and singularities in Hele-Shaw flow
    Goldstein, RE
    Pesci, AI
    Shelley, MJ
    PHYSICS OF FLUIDS, 1998, 10 (11) : 2701 - 2723
  • [8] FLOW IN HETEROGENEOUS HELE-SHAW MODELS
    GREENKORN, RA
    HARING, RE
    JAHNS, HO
    SHALLENBERGER, LK
    JOURNAL OF PETROLEUM TECHNOLOGY, 1964, 16 (09): : 1036 - &
  • [9] PARALLEL FLOW IN HELE-SHAW CELLS
    ZEYBEK, M
    YORTSOS, YC
    JOURNAL OF FLUID MECHANICS, 1992, 241 : 421 - 442
  • [10] FLOW IN HETEROGENEOUS HELE-SHAW MODELS
    GREENKORN, RA
    HARING, RE
    JAHNS, HO
    SHALLENBERGER, LK
    TRANSACTIONS OF THE SOCIETY OF PETROLEUM ENGINEERS OF AIME, 1964, 231 (04): : 307 - 316