科研之友
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摘要
We have derived a nonlinear evolution equation describing the dynamics of an axisymmetric liquid film on a cylindrical surface subjected to axial harmonic oscillation. We have found that the capillary long-time film rupture typical for the case of a film on a static cylinder can be arrested if the substrate is forced with a sufficiently high amplitude and/or frequency. The threshold for the rupture prevention is determined by the product of the dimensionless amplitude and frequency of forcing, whereas the value of this product is independent of forcing parameters. This threshold delineates the borderline between the ruptured and nonruptured subdomains. A typical pattern in the nonruptured subdomain consists of a single drop within the periodic domain, whereas the number of drops in the ruptured subdomain varies with the forcing amplitude when the rest of parameters remains fixed. The amplitude of film thickness norm in the parameter domain corresponding to nonruptured states of the system was found to increase with the distance from criticality, which is typical for forward bifurcation.
- 出版日期2010-3
