Propagation of thickness-twist waves in a piezoelectric ceramic plate in contact with viscous fluids
Propagation of thickness-twist waves in a piezoelectric ceramic plate in contact with viscous fluids
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DOI：
10.1007/s00707-009-0261-5
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发表时间：
2010-07
期刊：
影响因子：
2.7
通讯作者：
Z. Qian;Nan Liu;Jia-shi Yang;S. Hirose
中科院分区：
文献类型：
--
作者：
Z. Qian;Nan Liu;Jia-shi Yang;S. Hirose
本文从理论上研究了无粘结电极和粘性流体的无限大压电陶瓷板中厚度扭转波的传播。基于压电性和粘性流体理论，得到了确定波的频散关系的方程，揭示了相速度与材料和几何参数的关系。由于流体的粘性，色散关系通常很复杂，表现为具有衰减的阻尼波。所得到的色散关系可归结为少数已知结果的特例结果。本文的研究结果对开发和设计测量流体粘度或密度的流体传感器具有一定的参考价值。
We study theoretically the propagation of thickness-twist waves in an unbounded piezoelectric ceramic plate with unattached electrodes and viscous fluids between the plate surfaces and the electrodes. Based on the theories of piezoelectricity and viscous fluids, an equation that determines the dispersion relations of the waves is obtained, showing the dependence of the phase velocity on material and geometric parameters. Due to the viscosity of the fluid, the dispersion relations are complex in general, representing damped waves with attenuation. The dispersion relations obtained can reduce to the results of a few special cases with known results. The results of the present paper are useful for developing and designing fluid sensors for measuring fluid viscosity or density.