Rupture of thin micropolar liquid film

被引:1
|
作者
Hung, CI
Tsai, JS
机构
[1] Department of Mechanical Engineering, National Cheng-Kung University, Tainan
关键词
Dynamical System; Film Thickness; Fluid Dynamics; Evolution Equation; Horizontal Plane;
D O I
10.1007/BF01182000
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The rupture problem of a thin micropolar liquid film on a horizontal plane is studied. A nonlinear evolution equation is firstly derived for the film thickness, h(x, t), and then solved numerically. The results reveal that the rupture time of the film strongly increases with increase of the magnitude of the parameter R(=kappa/mu). However, the analysis also shows that the micropolar coefficient, lambda(=gamma h(0)(2)/mu), has little influence on the stability of the film.
引用
收藏
页码:217 / 223
页数:7
相关论文
共 50 条
  • [21] About thin film micropolar asymptotic equations
    Bayada, G
    Chambat, M
    Gamouana, SR
    QUARTERLY OF APPLIED MATHEMATICS, 2001, 59 (03) : 413 - 439
  • [22] Exploring micropolar effects in thin film lubrication
    Zhang, CH
    Luo, JB
    Wen, SZ
    SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY, 2004, 47 (Suppl 1): : 65 - 71
  • [23] Exploring micropolar effects in thin film lubrication
    ZHANG Chaohui
    Science China(Physics,Mechanics & Astronomy), 2004, (S1) : 65 - 71
  • [24] Simulation of thin film lubrication with micropolar fluids
    Zhang, Chaohui
    Wen, Shizhu
    Luo, Jianbin
    Jixie Gongcheng Xuebao/Chinese Journal of Mechanical Engineering, 2001, 37 (09): : 4 - 8
  • [25] RUPTURE MECHANISM OF A LIQUID FILM
    LIEBMAN, I
    CORRY, J
    PERLEE, HE
    SCIENCE, 1968, 161 (3839) : 373 - &
  • [26] Thin Film Flow of Micropolar Fluid in a Permeable Medium
    Ali, Vakkar
    Gul, Taza
    Afridi, Shakeela
    Ali, Farhad
    Alharbi, Sayer Obaid
    Khan, Ilyas
    COATINGS, 2019, 9 (02):
  • [27] On exact solutions for thin film flows of a micropolar fluid
    Sajid, M.
    Ali, N.
    Hayat, T.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 451 - 461
  • [28] WAVES IN THIN LIQUID FILMS .2. SYMMETRICAL MODES IN VERY THIN FILMS AND FILM RUPTURE
    VRIJ, A
    HESSELINK, FT
    LUCASSEN, J
    VANDENTE.M
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES B-PHYSICAL SCIENCES, 1970, 73 (02): : 124 - +
  • [29] How does a thin film rupture?
    Kerle, T
    Klein, J
    Yerushalmi-Rozen, R
    PHYSICS WORLD, 1998, 11 (08) : 24 - 24
  • [30] EXPONENTIAL ASYMPTOTICS FOR THIN FILM RUPTURE
    Chapman, S. Jonathan
    Trinh, Philippe H.
    Witelski, Thomas P.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2013, 73 (01) : 232 - 253