Characterisation of colloidal dispersions using ultrasound spectroscopy and multiple-scattering theory inclusive of shear-wave effects

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Abstract

Ultrasonic spectrometry measures the attenuation of a sound wave propagating through a sample. In slurries the ultrasound signal becomes highly attenuated as a function of particle size, concentration and density. To monitor these properties in slurries the attenuation requires interpretation using a mathematical model. We examine different sizes of silica suspended in water, at different concentrations, and frequencies up to 100 MHz. We determine that a new multiple scattering theory inclusive of shear-wave reconversion effects (i.e. conversion of compressional wave to shear wave and back to compressional wave at the particle/liquid boundary) is successful for attenuation prediction in the range up to ≈20 MHz and 20% (by volume). Beyond this level the model with shear-effects begins to deviate from the real attenuation, but is still more representative of the experimental results than modelling only an incident compressional wave. Thus, shear-wave reconversion modelling is essential to more accurately reflect the attenuation spectra in a solid particle in suspension system, and dictates the ultrasonic attenuation as particle sizes decrease and concentration increases.

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Forrester, D. M., Huang, J., & Pinfield, V. J. (2016). Characterisation of colloidal dispersions using ultrasound spectroscopy and multiple-scattering theory inclusive of shear-wave effects. Chemical Engineering Research and Design, 114, 69–78. https://doi.org/10.1016/j.cherd.2016.08.008

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