Gravity-driven thin-film flow on a flexible substrate

被引：15
|
作者：
Howell, P. D. [1 ]
Robinson, J. [2 ]
Stone, H. A. [3 ]
机构：
[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England
[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
[3] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA
来源：
JOURNAL OF FLUID MECHANICS | 2013年 / 732卷
基金：
英国工程与自然科学研究理事会;
关键词：
coating; lubrication theory; thin films; LIQUID-FILMS; SURFACE; INSTABILITIES; STABILITY; CYLINDER; DYNAMICS; DRAINAGE;
D O I：
10.1017/jfm.2013.404
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We study the flow of a thin liquid film along a flexible substrate. The flow is modelled using lubrication theory, assuming that gravity is the dominant driving force. The substrate is modelled as an elastic beam that deforms in two dimensions. Steady solutions are found using numerical and perturbation methods, and several different asymptotic regimes are identified. We obtain a complete characterization of how the length and stiffness of the beam and the imposed liquid flux determine the profile of the liquid film and the resulting beam deformation.
引用
收藏
页码：190 / 213
页数：24
相关论文
共 50 条
  • [41] Gravity-driven flow in a horizontal annulus
    Horsley, Marcus C.
    Woods, Andrew W.
    JOURNAL OF FLUID MECHANICS, 2017, 830 : 479 - 493
  • [42] ANALYSIS OF GRAVITY-DRIVEN SLURRY FLOW
    Ashrafi, Nariman
    Zeydabadi, Haniyeh
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2012, VOL 7, PTS A-D, 2013, : 1043 - 1049
  • [43] Mixed convection in gravity-driven thin nano-liquid film flow with homogeneous-heterogeneous reactions
    Ahmed, Sohail
    Xu, Hang
    PHYSICS OF FLUIDS, 2020, 32 (02)
  • [44] Experimental and Numerical Investigation on Gravity-Driven Film Flow over Triangular Corrugations
    Tong, Zhongyao
    Marek, Andre
    Hong, Weirong
    Repke, Jens-U.
    INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2013, 52 (45) : 15946 - 15958
  • [45] Steady solution of an inverse problem in gravity-driven shear-thinning film flow: Reconstruction of an uneven bottom substrate
    Yadav, Anjalaiah
    Chakraborty, S.
    Usha, R.
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 219 : 65 - 77
  • [46] Heat transfer in gravity-driven film flow of power-law fluids
    Shang, DY
    Andersson, HI
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1999, 42 (11) : 2085 - 2099
  • [47] Experimental investigation of gravity-driven film flow inside an inclined corrugated pipe
    Kuehner, Joel P.
    Mitchell, Jared D.
    Lee, Margaret R.
    PHYSICS OF FLUIDS, 2019, 31 (12)
  • [48] Falkner-Skan Solution for Gravity-Driven Film Flow of a Micropolar Fluid
    Ahmad, Kartini
    Nazar, Roslinda
    Pop, Ioan
    SAINS MALAYSIANA, 2011, 40 (11): : 1291 - 1296
  • [49] Heat transfer in gravity-driven film flow of power-law fluids
    Division of Applied Mechanics, Faculty of Mechanical Engineering, Norwegian University of Science and Technology, N-7034 Trondheim, Norway
    不详
    Int. J. Heat Mass Transf., 11 (2085-2099):
  • [50] EXPERIMENTAL STUDY OF GRAVITY-DRIVEN FILM FLOW OF NON-NEWTONIAN FLUIDS
    Haeri, S.
    Hashemabadi, S. H.
    CHEMICAL ENGINEERING COMMUNICATIONS, 2009, 196 (05) : 519 - 529
12345