title: A Nonlinear Three-Dimensional Rupture Theory of Thin Liquid Films
abstract: A process of nonlinear three-dimensional rupture of thin liquid films is numerically analyzed for the first time. With the rupture time being successfully calculated, it has been possible to develop a more complete rupture theory for thin liquid films. In contrast to the linear analysis indicating the shortest rupture time of thin liquid films to be the same for both two- and three-dimensional rupture, the nonlinear analysis reveals that the latter proceeds faster than the former. In particular, among all three-dimensional disturbance modes, the symmetric one makes the thin liquid films rupture fastest. It is concluded that the rupture process develops at a point rather than along a line on thin liquid films.
authors.affiliation: Department of Mechanical Engineering, Chang Yuan University, Taiwan, Chung Li, 32023, Republic of China
authors.initials: CC
authors.lastname: Hwang
authors.initials: CK
authors.lastname: Lin
authors.initials: WY
authors.lastname: Uen