A multiphase continuum theory for sound wave propagation through dilute suspensions of particles
A multiphase continuum theory for sound wave propagation through dilute suspensions of particles
复制标题
声波通过稀颗粒悬浮液传播的多相连续理论
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
W. Schwarz
中科院分区：
文献类型：
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作者：
T. Margulies;W. Schwarz
利用流体动力学或连续介质方法来研究声波通过粘性导热流体中球形颗粒的稀悬浮液的传播。声学理论解释了机械粒子-流体相互作用，例如斯托克斯阻力，以及耦合相位现象，由于温度、密度或浓度的梯度而统称为电泳效应（例如，热泳、冰泳和扩散泳过程）。对于任意频率的平面波，求解质量、线性动量和能量的线性化体积平均平衡方程。提供近似值以使得能够对结果进行更好的物理解释，并与Temkin和Dobbins的早期治疗进行比较[J. Acoust. Soc. Am. 40，317-324（1966）]，但是在每个颗粒上具有斯托克斯阻力。调查还考虑了几个概括的情况下，可以忽略的电泳条款。例如，通过开发频率依赖函数来解释颗粒尺寸的分布，该频率依赖函数通过颗粒尺寸分布函数来加权阻力。此外，通过调用对应原理，通过使用剪切和压缩松弛函数的复粘度，将牛顿流体的拖曳力函数扩展到粘弹性颗粒负载材料。在颗粒浓度趋于零且粘性为牛顿的极限下，得到了经典的Kirchhoff-Langevin方程。几个计算结果提供了比较可用的实验测量和粘弹性流体悬浮液模拟说明衰减和分散的关系与粒径和浓度。
The hydrodynamic or continuum approach is utilized to examine sound wave propagation through a dilute suspension of spherical particles in a viscous, heat‐conducting fluid. The acoustical theory accounts for mechanical particle–fluid interactions such as Stokes drag, as well as coupled phase phenomena, collectively called phoresis effects due to gradients of temperature, density, or concentration (e.g., processes of thermophoresis, pcynophoresis, and diffusion phoresis). Linearized volume‐averaged balance equations for mass, linear momentum, and energy are solved for a plane wave of arbitrary frequency. Approximations are provided to enable better physical interpretation of the results and to compare to the earlier treatment by Temkin and Dobbins [J. Acoust. Soc. Am. 40, 317–324 (1966)] for an inviscid fluid phase, but with a Stokes drag force on each particle. The investigation also considers several generalizations for the case when the phoresis terms can be neglected. For example, a distribution of particle sizes is accounted for by developing a frequency‐dependent function that weights the drag forces by a particle‐size distribution function. Furthermore, by invoking the correspondence principle, the drag force function for a Newtonian fluid is extended to a viscoelastic particle‐laden material by using complex viscosities for shear and compressional relaxation functions. In the limit that the concentration of particles goes to zero, and the viscosity is Newtonian, the classical Kirchhoff–Langevin equation is obtained. Several calculated results are provided for comparison to available experimental measurements and a viscoelastic fluid suspension simulation illustrates attenuation and dispersion relationships versus particle size and concentration.