Nonlinear waves on the surface of non-isothermal fluid film

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Prokudina, L.A.^1

South-Ural State University, Chelyabinsk, Russia^1

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012026/pdf
DOI  :  10.1088/1742-6596/574/1/012026

来源: IOP

【 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.