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首页> 外文期刊>Journal of Applied Mechanics and Technical Physics >WAVE REGIMES ON A NONLINEARLY VISCOUS FLUID FILM FLOWING DOWN A VERTICAL PLANE
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WAVE REGIMES ON A NONLINEARLY VISCOUS FLUID FILM FLOWING DOWN A VERTICAL PLANE

机译：沿垂直平面向下流动的非线性粘性流体膜上的波浪谱

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摘要

The flow of a thin film of a nonlinearly viscous fluid whose stress tensor is modeled by a power law, flowing down a vertical plane in the field of gravity, is considered. For the case of low flow rates, an equation that describes the evolution of surface disturbances is derived in the long-wave approximation. The domain of linear stability of the trivial solution is found, and weakly nonlinear, steady-state travelling solutions of this equation are obtained. The mechanism of branching of solution families at the singular point of the neutral curve is described.
机译：考虑了非线性粘滞流体的薄膜流，该应力流由幂定律建模，并在重力场中沿垂直平面向下流动。对于低流速的情况，在长波近似中可以得出描述表面扰动演变的方程。找到了平凡解的线性稳定性的域，并获得了该方程的弱非线性稳态旅行解。描述了溶液族在中性曲线奇异点处分支的机理。

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