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首页> 外文期刊>Applied Mathematical Modelling >Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids
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Mathematical modelling of Love waves propagation in viscoelastic waveguide loaded with complex fluids

机译：用复杂流体负载粘弹性波导在粘弹性波浪中的数学建模

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摘要

Love waves propagation in a viscoelastic waveguide loaded on its surface with viscoelastic fluids of finite thickness is investigated in this paper. The Maxwell and Kelvin-Voigt constitutive equations are employed in order to describe the fluid viscoelasticity. By solving the equations of motion in the different media (viscoelastic fluid, viscoelastic waveguide and elastic substrate) and imposing the suitable boundary conditions, an accurate and simple generalized complex dispersion equation is established for Love waves. Subsequently, a comparison is made with the published complex dispersion equations in the literature in some particular cases, and a very good agreement is showed. A detailed study was conducted by varying key parameters such as operating frequency, waveguide thickness and fluid thickness. The waveguide surface was subjected to various glycerol concentrations, with a wide range of dynamic viscosity, representing both Newtonian and viscoelastic behaviors. Theoretical analysis shows that to reasonably predict the characteristics responses of Love waves, the Maxwell fluid is more appropriate for low glycerol concentration and, the Kelvin-Voigt fluid is more suitable for high glycerol concentration and at high frequency. Results also evaluated the influence of layer thickness on the dispersion curves. The obtained results can be very useful in the design and optimization of Love wave fluid sensors.
机译：在本文中研究了Love波在粘弹性波导中的粘弹性波导，在其表面上载有有限厚度的有限厚度的粘弹性液。使用Maxwell和Kelvin-Voigt组成方程，以描述流体粘弹性。通过求解不同介质（粘弹性流体，粘弹性波导和弹性基板）的运动方程，并施加合适的边界条件，建立精确和简单的广义复杂的分散方程，用于爱情波。随后，在一些特定情况下，利用文献中公布的复杂色散方程进行了比较，并且显示了非常好的协议。通过改变诸如工作频率，波导厚度和流体厚度的关键参数进行详细研究。将波导表面进行各种甘油浓度，具有各种动态粘度，代表牛顿和粘弹性行为。理论分析表明，为了合理地预测爱浪波的特性反应，麦克风液更适合于低甘油浓度，并且开尔文-Voigt流体更适合高甘油浓度和高频率。结果还评估了层厚度对分散曲线的影响。获得的结果对于爱波流体传感器的设计和优化非常有用。

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