Mathematical modeling of the instability of viscous fluid films

[摘要] Nonlinear mathematical model of free surface fluid film is presents. Increment, frequency, phase velocity for thin layers of viscous liquids at low Reynolds numbers are calculated. The instability region is found. Optimal flow regimes of films of water and alcohol, corresponding to the maximum values of increment, are calculated.

[发布机构] South-Ural State University, Chelyabinsk, Russia^1

[效力级别] 数学

[关键词] Fluid films;Free surfaces;Low Reynolds number;Nonlinear mathematical model;Optimal flows;Thin layers;Viscous fluids;Viscous liquids