Instabilities of diffuse interfaces

被引：9

作者：

Bessonov, N. ^{[2
]}

Pojman, J. ^{[3
]}

Viner, G. ^{[3
]}

Volpert, V. ^{[1
]}

Zoltowski, B. ^{[3
]}

机构：

[1] Univ Lyon 1, CNRS, Inst Math, UMR 5208, F-69622 Villeurbanne, France

[2] Inst Mech Engn Problems, St Petersburg 199178, Russia

[3] Univ So Mississippi, Dept Chem & Biochem, Hattiesburg, MS 39606 USA

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2008年 / 3卷 / 01期

基金：

美国国家科学基金会;

关键词：

miscible liquids; interfacial phenomena; drops; interfacial waves;

D O I：

10.1051/mmnp:2008036

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Composition gradients in miscible liquids can create volume forces resulting in various interfacial phenomena. Experimental observations of these phenomena are related to some difficulties because they are transient, sufficiently weak and can be hidden by gravity driven flows. As a consequence, the question about their existence and about adequate mathematical models is not yet completely elucidated. In this work we present some experimental evidences of interfacial phenomena in miscible liquids and numerical simulations of miscible drops and diffuse interfaces.

引用

页码：108 / 125

页数：18

共 49 条

[1] Diffuse-interface methods in fluid mechanics
Anderson, DM
McFadden, GB
Wheeler, AA
[J]. ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 : 139 - 165
[2] Microscale theory of surface tension
Antanovskii, LK
[J]. PHYSICAL REVIEW E, 1996, 54 (06): : 6285 - 6290
[3] Measuring the mutual diffusion coefficient for dodecyl acrylate in low molecular weight poly(dodecyl acrylate) with laser line deflection (Wiener's method) and the fluorescence of pyrene
Antrim, D
Bunton, P
Lewis, LL
Zoltowski, BD
Pojman, JA
[J]. JOURNAL OF PHYSICAL CHEMISTRY B, 2005, 109 (23) : 11842 - 11849
[4] ARISTOV S, 2003, PATTERNS WAVES, P79
[5] Numerical simulations of convection induced by Korteweg stresses in miscible polymer-monomer systems
Bessonov, N
Volpert, VA
Pojman, JA
Zoltowski, BD
[J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 2005, 17 (01) : 8 - 12
[6] Modelling of diffuse interfaces with temperature gradients
Bessonov, N
Pojman, JA
Volpert, V
[J]. JOURNAL OF ENGINEERING MATHEMATICS, 2004, 49 (04) : 321 - 338
[7] BESSONOV N, 2003, AIAA2004631
[8] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY
CAHN, JW
HILLIARD, JE
[J]. JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) : 258 - 267
[9] INTERFACIAL ELECTROHYDRODYNAMIC INSTABILITY - THE KATH AND HOBURG MODEL REVISITED
CASTELLANOS, A
GONZALEZ, A
[J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (06): : 1307 - 1309
[10] Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA

← 1 2 3 4 5 →