In this paper the lubrication-type dynamical model is developed of a molten, pulsed laser-irradiated metallic film. The heat transfer problem that incorporates the absorbed heat from a single beam or interfering beams is solved analytically. Using this temperature field, we derive the 3D long-wave evolution PDE for the film height. To get insights into dynamics of dewetting, we study the 2D version of the evolution equation by means of a linear stability analysis and by numerical simulations. The stabilizing and destabilizing effects of various system parameters, such as the peak laser beam intensity, the film optical thickness, the Biot and Marangoni numbers, etc. are elucidated. It is observed that the film stability is promoted for such parameters variations that increase the heat absorption in the film. In the numerical simulations the impacts of different irradiation modes are investigated. In particular, we obtain that in the interference heating mode the spatially periodic irradiation results in a spatially periodic film rupture with the same, or nearly equal period. The 2D model qualitatively reproduces, for the first time, the results of the experimental observations of a film stability and spatial ordering of a re-solidified nanostructures.
Applied Mechanics | Fluid Dynamics | Materials Science and Engineering | Nanoscience and Nanotechnology | Non-linear Dynamics | Numerical Analysis and Computation | Partial Differential Equations | Transport Phenomena
Recommended Repository Citation
Atena, Agegnehu and Khenner, Mikhail. (2009). Thermocapillary effects in driven dewetting and self-assembly of pulsed laser-irradiated metallic films. Physical Review B.
Available at: https://digitalcommons.wku.edu/math_fac_pub/30
Applied Mechanics Commons, Fluid Dynamics Commons, Materials Science and Engineering Commons, Nanoscience and Nanotechnology Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons, Transport Phenomena Commons