Free-surface thin-film flows over uniformly heated topography

被引：59
|
作者：
Saprykin, Sergey [1 ]
Trevelyan, Philip M. J.
Koopmans, Rudy J.
Kalliadasis, Serafim
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn, London SW7 2AZ, England
[2] Dow Benelux BV, Core R&D, NL-4530 AA Terneuzen, Netherlands
来源：
PHYSICAL REVIEW E | 2007年 / 75卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.75.026306
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 long-wave (lubrication) approximation governing the evolution of a thin film over a uniformly heated topographical substrate is solved numerically. We study the initial-value problem for a variety of governing dimensionless parameters and topographical substrates. We demonstrate that the dynamics is characterized by a slow relaxation process with continuous coarsening of drops up to a large time where coarsening is terminated and the interface organizes into a series of drops each of which is located in a trough in topography.
引用
收藏
页数：17
相关论文
共 50 条
  • [21] Measurement of the Free-Surface Elevation for Flows in Complex Topography Using Photogrammetry
    d'Odeigne, Olivier Carlier
    Franzini, Fabian
    Da Rosa, Guilherme Coutinho Machado
    Janssens, Nils
    Soares-Frazao, Sandra
    ADVANCES IN HYDROINFORMATICS: SIMHYDRO 2017 - CHOOSING THE RIGHT MODEL IN APPLIED HYDRAULICS, 2018, : 145 - 156
  • [22] Steady free-surface flow over spatially periodic topography
    Binder, B. J.
    Blyth, M. G.
    Balasuriya, S.
    JOURNAL OF FLUID MECHANICS, 2015, 781
  • [23] Free-surface film flow over topography: Full three-dimensional finite element solutions
    Veremieiev, S.
    Thompson, H. M.
    Gaskell, P. H.
    COMPUTERS & FLUIDS, 2015, 122 : 66 - 82
  • [24] Unsteady thin-film flow over a heated stretching sheet
    Santra, Bidyut
    Dandapat, Bhabani S.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (7-8) : 1965 - 1970
  • [25] On the decay and drift of free-surface perturbations in viscous thin-film flow exterior to a rotating cylinder
    Hinch, EJ
    Kelmanson, MA
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2033): : 1193 - 1213
  • [26] ESTIMATES OF THE EFFECT OF A PLASMA MOMENTUM FLUX ON THE FREE-SURFACE OF A THIN-FILM OF LIQUID-METAL
    MORLEY, NB
    GAIZER, AA
    ABDOU, MA
    FUSION ENGINEERING AND DESIGN, 1995, 28 : 176 - 180
  • [27] On nonlinear transient free-surface flows over a bottom obstruction
    Zhu, SP
    Zhang, YL
    PHYSICS OF FLUIDS, 1997, 9 (09) : 2598 - 2604
  • [28] Numerical Analysis of Free-Surface Flows over Rubber Dams
    Chu, Chia-Ren
    Tran, Truc Thi Thu
    Wu, Tso-Ren
    WATER, 2021, 13 (09)
  • [29] COMPUTATION OF FREE-SURFACE FLOWS
    ASAITHAMBI, NS
    JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 73 (02) : 380 - 394
  • [30] Near-critical free-surface rotating flow over topography
    Vilenski, GG
    Johnson, ER
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2050): : 2865 - 2881
12345