Experimental investigation of the onset of instability in a radial Hele-Shaw cell

被引：13

作者：

Martyushev, L. M. ^{[1
]}

Birzina, A. I. ^{[1
]}

Konovalov, M. S. ^{[1
]}

Sergeev, A. P. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Ind Ecol, Ekaterinburg 620219, Russia

来源：

PHYSICAL REVIEW E | 2009年 / 80卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

confined flow; flow instability; pattern formation; two-phase flow; MORPHOLOGICAL STABILITY; PATTERNS; FLUID;

D O I：

10.1103/PhysRevE.80.066306

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 initial stage of interface instability upon radial displacement of a fluid in a Hele-Shaw cell is investigated. An air-silicone oil system is analyzed. The critical radii of stability relative to long-wave perturbations are determined. It is found that, in the investigated range of parameters, instability most often begins by a translational mechanism. It is ascertained that in the overwhelming majority of cases the critical radii of instability are smaller than the values predicted by the linear stability theory and external effects make this difference even greater. The obtained results are discussed and compared with the existing theories.

引用

页数：9

共 27 条

[1]

AACUTELVAREZLAC.E, 2004, PHYS REV LETT, V92, P1118, DOI DOI 10.1103/PHYSREVLETT.92.054501

[2]

AACUTELVAREZLAC.E, 2003, PHYS REV E, V68, P1118, DOI DOI 10.1103/PHYSREVE.68.026308

[3]

ALEKSEEV PG, 1997, HDB ENERGOATOMIZDAT, P61118

[4] FORMATION OF A DENSE BRANCHING MORPHOLOGY IN INTERFACIAL GROWTH [J].

BENJACOB, E ;

DEUTSCHER, G ;

GARIK, P ;

GOLDENFELD, ND ;

LAREAH, Y .

PHYSICAL REVIEW LETTERS, 1986, 57 (15) :1903-1906

[5] THE FORMATION OF PATTERNS IN NONEQUILIBRIUM GROWTH [J].

BENJACOB, E ;

GARIK, P .

NATURE, 1990, 343 (6258) :523-530

[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] VISCOUS FINGERING IN LIQUID-CRYSTALS [J].

BUKA, A ;

PALFFYMUHORAY, P ;

RACZ, Z .

PHYSICAL REVIEW A, 1987, 36 (08) :3984-3989

[8] An experimental investigation of initial oscillations in a radial Hele-Shaw cell [J].

Burns, SBK ;

Advani, SG .

EXPERIMENTS IN FLUIDS, 1996, 21 (03) :187-200

[9]

CHEN JD, 1987, EXP FLUIDS, V5, P363

[10] NOISE AND THE LINEAR-STABILITY ANALYSIS OF VISCOUS FINGERING [J].

GINGRAS, MJP ;

RACZ, Z .

PHYSICAL REVIEW A, 1989, 40 (10) :5960-5965

← 1 2 3 →