Open AccessA numerical study of three-dimensional droplets spreading on chemically patterned surfaces
Author(s) -
Hua Zhong,
Xiao Ping Wang,
Shuyu Sun
Publication year - 2016
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2016079
Subject(s) - contact angle , hysteresis , geometry , slip (aerodynamics) , materials science , boundary value problem , mechanics , surface (topology) , optics , physics , mathematics , mathematical analysis , condensed matter physics , composite material , thermodynamics
We study numerically the three-dimensional droplets spreading on physically flat chemically patterned surfaces with periodic squares separated by channels. Our model consists of the Navier-Stokes-Cahn-Hilliard equations with the generalized Navier boundary conditions. Stick-slip behavior and con-tact angle hysteresis are observed. Moreover, we also study the relationship between the effective advancing/receding angle and the two intrinsic angles of the surface patterns. By increasing the volume of droplet gradually, we find that the advancing contact line tends gradually to an equiangular octagon with the length ratio of the two adjacent sides equal to a fixed value that depends on the geometry of the pattern