Relaxation of capillary-gravity waves due to contact line nonlinearity: A projection method

被引:9
作者
Bongarzone, Alessandro [1 ]
Viola, Francesco [2 ]
Gallaire, Francois [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Lab Fluid Mech & Instabil, CH-1015 Lausanne, Switzerland
[2] Gran Sasso Sci Inst, Viale F Crispi 7, I-67100 Laquila, Italy
关键词
NORMAL-MODES; SURFACE; DYNAMICS; HYSTERESIS; VIBRATION; INTERFACE; LIQUIDS; PLATE;
D O I
10.1063/5.0055898
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a physics-inspired mathematical model based on successive linear eigenmode projections to solve the relaxation of small-amplitude and two-dimensional viscous capillary-gravity waves with a phenomenological nonlinear contact line model. We show that each projection eventually induces a rapid loss of total energy in the liquid motion and contributes to its nonlinear damping.
引用
收藏
页数:15
相关论文
共 36 条
[11]   Contact angle hysteresis: a review of fundamentals and applications [J].
Eral, H. B. ;
't Mannetje, D. J. C. M. ;
Oh, J. M. .
COLLOID AND POLYMER SCIENCE, 2013, 291 (02) :247-260
[13]   THE DAMPING OF CAPILLARY GRAVITY-WAVES AT A RIGID BOUNDARY [J].
HOCKING, LM .
JOURNAL OF FLUID MECHANICS, 1987, 179 :253-266
[14]   HYDRODYNAMIC MODEL OF STEADY MOVEMENT OF A SOLID/LIQUID/FLUID CONTACT LINE [J].
HUH, C ;
SCRIVEN, LE .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1971, 35 (01) :85-&
[15]   Large-amplitude non-linear normal modes of piecewise linear systems [J].
Jiang, D ;
Pierre, C ;
Shaw, SW .
JOURNAL OF SOUND AND VIBRATION, 2004, 272 (3-5) :869-891
[16]   Contact-line dynamics and damping for oscillating free surface flows [J].
Jiang, L ;
Perlin, M ;
Schultz, WW .
PHYSICS OF FLUIDS, 2004, 16 (03) :748-758
[17]   ENERGY DISSIPATION IN STANDING WAVES IN RECTANGULAR BASINS [J].
KEULEGAN, GH .
JOURNAL OF FLUID MECHANICS, 1959, 6 (01) :33-50
[18]  
Lamb H., 1993, HYDRODYNAMICS
[19]  
Lauga E., 2007, MICROFLUIDICS NO SLI, P1219
[20]   Global mode interaction and pattern selection in the wake of a disk: a weakly nonlinear expansion [J].
Meliga, Philippe ;
Chomaz, Jean-Marc ;
Sipp, Denis .
JOURNAL OF FLUID MECHANICS, 2009, 633 :159-189