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MATHEMATICAL MODEL FOR THE DYNAMICS OF A OPTICAL FIBER VISCOMETER

机译:光纤粘度计动力学的数学模型

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摘要

This paper presents the analysis of the modes of a viscometer optical fiber vibration based on a simplified mathematical model. The initial quasilinear equation with discontinuous coefficients, which describes the vibration of an optical fiber partially immersed in liquid, is reduced to the telegraph equation with constant effective coefficients. The form of these coefficients is chosen such a way to capture the most important physics of the immersed fiber's vibration. The subsequent analytical solution of the model in an attempt to give results that accurately follow the trends of experimental results.
机译:本文介绍了基于简化的数学模型的粘度计光纤振动模式的分析。具有不连续系数的初始拟线性方程,其描述了恒定有效系数的电报方程减少到液体中部分地浸入液体中的光纤的振动。选择这些系数的形式是捕获浸没纤维振动的最重要的物理的一种方法。模型的后续分析解决方案试图提供准确遵循实验结果趋势的结果。

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