VISCOUS FINGERING - A SINGULARITY IN LAPLACIAN GROWTH-MODELS

被引:19
作者
BENAMAR, M
机构
[1] Laboratoire de Physique Statistique, Ecole Normale Supérieure, 75231 Paris Cedex 05
来源
PHYSICAL REVIEW E | 1995年 / 51卷 / 05期
关键词
D O I
10.1103/PhysRevE.51.R3819
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 η model in the linear or radial geometry is investigated numerically. It turns out that the main characteristics of the viscous fingering instability (η=1) at vanishing capillary number such as the λ=1/2 limit are not recovered. For η 1, the selected finger width decreases with the capillary parameter, indicating the formation of needlelike structures. © 1995 The American Physical Society.
引用
收藏
页码:R3819 / R3822
页数:4
相关论文
共 28 条
[1]   SCALING BEHAVIOR IN ANISOTROPIC HELE-SHAW FLOW [J].
ALMGREN, R ;
DAI, WS ;
HAKIM, V .
PHYSICAL REVIEW LETTERS, 1993, 71 (21) :3461-3464
[2]  
BEDIA MA, 1991, PHYS REV A, V43, P5702, DOI 10.1103/PhysRevA.43.5702
[3]   VISCOUS FINGERING WITH ADVERSE ANISOTROPY - A NEW SAFFMAN-TAYLOR FINGER [J].
BENAMAR, M ;
COMBESCOT, R ;
COUDER, Y .
PHYSICAL REVIEW LETTERS, 1993, 70 (20) :3047-3050
[4]   VISCOUS FINGERING IN A WEDGE [J].
BENAMAR, M .
PHYSICAL REVIEW A, 1991, 44 (06) :3673-3685
[5]  
BENAMAR M, 1991, EUROPHYS LETT, V16, P367, DOI 10.1209/0295-5075/16/4/009
[6]   VISCOUS FLOWS IN 2 DIMENSIONS [J].
BENSIMON, D ;
KADANOFF, LP ;
LIANG, SD ;
SHRAIMAN, BI ;
TANG, C .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :977-999
[7]  
Bird R. B., 1987, DYNAMICS POLYM LIQUI
[8]   SELECTION OF SAFFMAN-TAYLOR FINGERS IN THE SECTOR GEOMETRY [J].
COMBESCOT, R ;
BENAMAR, M .
PHYSICAL REVIEW LETTERS, 1991, 67 (04) :453-456
[9]   SHAPE SELECTION OF SAFFMAN-TAYLOR FINGERS [J].
COMBESCOT, R ;
DOMBRE, T ;
HAKIM, V ;
POMEAU, Y ;
PUMIR, A .
PHYSICAL REVIEW LETTERS, 1986, 56 (19) :2036-2039
[10]  
COUDER Y, 1991, CHAOS ORDER PATTERNS