NONSYMMETRIC SAFFMAN-TAYLOR FINGERS

被引:18
作者
BRENER, E
LEVINE, H
TU, YH
机构
[1] UNIV CALIF SAN DIEGO,INST NONLINEAR SCI,LA JOLLA,CA 92093
[2] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1991年 / 3卷 / 04期
关键词
D O I
10.1063/1.858114
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The Saffman-Taylor family of viscous fingering patterns is generalized to the case of nonsymmetric forcing; this type of forcing would occur if the Hele-Shaw cells were rotated (about the flow axis) in the presence of a gravitational field. At small surface energy, the selected pattern is determined analytically, which, not surprisingly, lacks reflection symmetry about the middle of the cell. The connection of this problem to that of nonsymmetric dendritic crystal growth is briefly discussed.
引用
收藏
页码:529 / 534
页数:6
相关论文
共 30 条
[1]  
BENAMAR M, 1986, EUROPHYS LETT, V2, P307, DOI 10.1209/0295-5075/2/4/008
[2]   PATTERN SELECTION IN DENDRITIC SOLIDIFICATION [J].
BENJACOB, E ;
GOLDENFELD, N ;
KOTLIAR, BG ;
LANGER, JS .
PHYSICAL REVIEW LETTERS, 1984, 53 (22) :2110-2113
[3]   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
[4]   GROWTH OF NON-REFLECTION-SYMMETRICAL DENDRITES [J].
BRENER, E ;
LEVINE, H .
PHYSICAL REVIEW A, 1991, 43 (02) :883-887
[5]  
BRENER E, UNPUB ADV PHYS
[6]   ANALYTIC THEORY OF THE SAFFMAN-TAYLOR FINGERS [J].
COMBESCOT, R ;
HAKIM, V ;
DOMBRE, T ;
POMEAU, Y ;
PUMIR, A .
PHYSICAL REVIEW A, 1988, 37 (04) :1270-1283
[7]   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
[8]  
HAKIM V, COMMUNICATION
[9]  
HOMSY GM, 1987, ANNU REV FLUID MECH, V19, P271, DOI 10.1146/annurev.fl.19.010187.001415
[10]   WIRE PERTURBATIONS IN THE SAFFMAN-TAYLOR PROBLEM - PATTERN SELECTION OF ASYMMETRIC FINGERS [J].
HONG, DC .
PHYSICAL REVIEW A, 1989, 39 (04) :2042-2049