Nonlinear waves on the surface of non-isothermal fluid film

[摘要] A mathematical model of non-isothermal flow of a fluid film is presented. In conditions of Marangoni instability wave characteristics are calculated, identify areas of instability of a fluid film. It shows the influence of thermocapillary forces and forces of surface viscosity on the form of waves. Nonlinear development of perturbations belonging to a continuous band of wave numbers on the surface of a thin fluid layer is investigated within the framework of a nonlinear parabolic equation.

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

[效力级别] 数学

[关键词] Marangoni instabilities;Nonisothermal;Nonisothermal flows;Nonlinear parabolic equations;Nonlinear waves;Surface viscosity;Thermo-capillary forces;Wave numbers