Population balance modelling for high concentration nanoparticle sizing with ultrasound Spectroscopy

Population balance modelling for high concentration nanoparticle sizing with ultrasound Spectroscopy
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DOI:
10.1016/j.powtec.2010.06.008
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发表时间:
2010-11
期刊:
影响因子:
5.2
通讯作者:
Lande Liu
Lande Liu
中科院分区:
工程技术2区
文献类型:
--
作者:
Lande Liu

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超声波粒度测量正吸引越来越多的学术研究和工业应用的关注,因为它提供了非侵入性,适用于高度浑浊和浓缩的纳米颗粒悬浮液,并且可能不需要样品稀释的功能。该技术的主要挑战被认为是其处理高浓度的能力。大多数超声粒度测量技术采用基于ECAH(Epstein、Carhart、Allegra和Hawley)理论的模型,用于将超声光谱反演为粒度分布(PSD)。然而,该理论是基于“单颗粒散射”,即单个颗粒浸没在无限介质中,因此只有当超声衰减和颗粒浓度线性相关时才有效。随着颗粒浓度的增加,由于颗粒之间的相互作用,固液悬浮液的衰减与浓度的关系可能会变得非线性。本文提出了一种用粒子数平衡(PB)模型处理高浓度二氧化硅悬浮液PSD问题的方法。它的结论是,与去聚集模型,它是可能的,在高浓度下的衰减反转PSD(ECAH模型为基础的反演)转换成PSD,被认为是正确的PSD在一个临界低浓度的PB模拟。
Ultrasound particle sizing is attracting an increasing attention from academic research and industrial applications as it offers non-invasive, suitable for highly turbid and concentrated nanoparticle suspensions and potentially no sample dilution needed features. The main challenge to this technique is thought to be its capability of dealing with high concentration. Most ultrasound particle sizing techniques employ ECAH (Epstein, Carhart, Allegra and Hawley) theory based models for the inversion of ultrasound spectra to particle size distribution (PSD). However, this theory is based on “single particle scattering”, namely a single particle immersed in an infinite medium, it is therefore only valid when ultrasound attenuation and particle concentration are linearly related. With the increase of particle concentration, due to the interactions between particles, the relation between attenuation and concentration may become nonlinear for solid–liquid suspensions. This paper demonstrates a method using population balance (PB) modelling to deal with the high concentration PSD problem for silica suspensions. It concludes that with a de-aggregation model, it is possible to convert attenuation inverted PSDs (ECAH model based inversion) at high concentrations into the PSD that is thought to be the correct PSD at a critical low concentration by a PB simulation.