One-dimensional movement of tensioned viscous material stream is considered. With the help of the laws of mass and momentum conservation it is shown that the stationary flow is characterized by exponential decrease of stream width and corresponding increase of stream velocity. Equations for perturbations of station variables are derived, which depend on the defining parameter. This parameter characterizes the combined influence of viscosity, density, initial velocity and length of the considered interval. For small parameter values dynamic stability of one-dimensional material motion is established.

中文翻译：

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粘性材料一维运动的稳定性

考虑了张紧的粘性物料流的一维运动。借助于质量守恒律和动量守恒律，表明固定流的特征在于流宽度呈指数减小，而流速度相应增大。得出站变量扰动的方程，该方程取决于定义参数。该参数表征了所考虑的区间的粘度，密度，初始速度和长度的综合影响。对于较小的参数值，建立了一维材料运动的动态稳定性。