DENDRITIC GROWTH OF SINGLE VISCOUS FINGER UNDER THE INFLUENCE OF LINEAR ANISOTROPY

被引:15
作者
MATSUSHITA, M
YAMADA, H
机构
[1] Department of Physics, Chuo University, Kasuga, Bunkyo-ku, Tokyo
关键词
D O I
10.1016/0022-0248(90)90504-E
中图分类号
O7 [晶体学];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
As a hydrodynamic analog of dendritic crystal growth, we have performed viscous fingering experiments under the influence of linear anisotropy through a straight groove. A single finger on the groove always tends to grow faster, accompanied by side branches. It is found that (1) the finger tip profile is approximated by a parabola, (2) the finger tip speed v and the radius ρ satisfies the relation vρ2 = constant for a wide range of v, and (3) the side branch spacing λ is approximately proportional to ρ. The crossover behavior to the constant ρ is also found for larger values of v in the v-ρ relation. © 1990.
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页码:161 / 164
页数:4
相关论文
共 13 条
[1]   EXPERIMENTAL DEMONSTRATION OF THE ROLE OF ANISOTROPY IN INTERFACIAL PATTERN-FORMATION [J].
BENJACOB, E ;
GODBEY, R ;
GOLDENFELD, ND ;
KOPLIK, J ;
LEVINE, H ;
MUELLER, T ;
SANDER, LM .
PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1315-1318
[2]   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
[3]  
CHEN JD, 1987, EXP FLUIDS, V5, P363
[4]   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
[5]   ANALYTIC THEORY OF THE SELECTION MECHANISM IN THE SAFFMAN-TAYLOR PROBLEM [J].
HONG, DC ;
LANGER, JS .
PHYSICAL REVIEW LETTERS, 1986, 56 (19) :2032-2035
[6]   FUNDAMENTALS OF DENDRITIC SOLIDIFICATION .2. DEVELOPMENT OF SIDEBRANCH STRUCTURE [J].
HUANG, SC ;
GLICKSMAN, ME .
ACTA METALLURGICA, 1981, 29 (05) :717-734
[7]   FUNDAMENTALS OF DENDRITIC SOLIDIFICATION .1. STEADY-STATE TIP GROWTH [J].
HUANG, SC ;
GLICKSMAN, ME .
ACTA METALLURGICA, 1981, 29 (05) :701-715
[8]  
Langer J. S., 1987, HAZARD MATIERE, P629
[9]   INSTABILITIES AND PATTERN-FORMATION IN CRYSTAL-GROWTH [J].
LANGER, JS .
REVIEWS OF MODERN PHYSICS, 1980, 52 (01) :1-28
[10]   2-PHASE DISPLACEMENT IN SHAW,HELE CELLS - THEORY [J].
PARK, CW ;
HOMSY, GM .
JOURNAL OF FLUID MECHANICS, 1984, 139 (FEB) :291-308