Flow transitions in two-dimensional foams

被引:40
作者
Gilbreth, Christopher [1 ]
Sullivan, Scott [1 ]
Dennin, Michael [1 ]
机构
[1] Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USA
来源
PHYSICAL REVIEW E | 2006年 / 74卷 / 05期
关键词
D O I
10.1103/PhysRevE.74.051406
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
For sufficiently slow rates of strain, flowing foam can exhibit inhomogeneous flows. The nature of these flows is an area of active study in both two-dimensional model foams and three dimensional foam. Recent work in three-dimensional foam has identified three distinct regimes of flow [S. Rodts, J. C. Baudez, and P. Coussot, Europhys. Lett. 69, 636 (2005)]. Two of these regimes are identified with continuum behavior (full flow and shear banding), and the third regime is identified as a discrete regime exhibiting extreme localization. In this paper, the discrete regime is studied in more detail using a model two-dimensional foam: a bubble raft. We characterize the behavior of the bubble raft subjected to a constant rate of strain as a function of time, system size, and applied rate of strain. We observe localized flow that is consistent with the coexistence of a power-law fluid with rigid-body rotation. As a function of applied rate of strain, there is a transition from a continuum description of the flow to discrete flow when the thickness of the flow region is approximately ten bubbles. This occurs at an applied rotation rate of approximately 0.07 s(-1).
引用
收藏
页数:9
相关论文
共 31 条
  • [1] [Anonymous], 1977, DYNAMICS POLYM LIQUI
  • [2] PLASTIC-FLOW IN A DISORDERED BUBBLE RAFT (AN ANALOG OF A METALLIC GLASS)
    ARGON, AS
    KUO, HY
    [J]. MATERIALS SCIENCE AND ENGINEERING, 1979, 39 (01): : 101 - 109
  • [3] BIRD RB, 1994, DYNAMICS POLYM LIQUI
  • [4] BRAGG WL, 1949, P ROY SOC LOND A MAT, V196, P171
  • [5] Coexistence of liquid and solid phases in flowing soft-glassy materials
    Coussot, P
    Raynaud, JS
    Bertrand, F
    Moucheront, P
    Guilbaud, JP
    Huynh, HT
    Jarny, S
    Lesueur, D
    [J]. PHYSICAL REVIEW LETTERS, 2002, 88 (21) : 2183011 - 2183014
  • [6] Deformation and flow of a two-dimensional foam under continuous shear -: art. no. 178305
    Debrégeas, G
    Tabuteau, H
    di Meglio, JM
    [J]. PHYSICAL REVIEW LETTERS, 2001, 87 (17)
  • [7] Dennin M, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.041406
  • [8] A two-dimensional Couette viscometer for Langmuir monolayers
    Ghaskadvi, RS
    Dennin, M
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 1998, 69 (10) : 3568 - 3572
  • [9] Shear-induced "melting" of an aqueous foam
    Gopal, AD
    Durian, DJ
    [J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1999, 213 (01) : 169 - 178
  • [10] Stress fluctuations in a 2D granular Couette experiment: A continuous transition
    Howell, D
    Behringer, RP
    Veje, C
    [J]. PHYSICAL REVIEW LETTERS, 1999, 82 (26) : 5241 - 5244