Volume 11 Issue 2
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Xu, L., Liu, C., Cao, Z., & Li, X. (2013). Particle size influence on effective permittivity of particle–gas mixture with particle clusters. Particuology, 11(2), 216–224. https://doi.org/10.1016/j.partic.2012.07.003
Particle size influence on effective permittivity of particle–gas mixture with particle clusters
Lijun Xu a *, Chang Liu a, Zhang Cao a, Xiaomin Li b
a Key Laboratory of Precision Opto-mechatronics Technology, Ministry of Education, School of Instrument Science and Opto-electronic Engineering, Beihang University, Beijing 100191, China
b School of Chemistry and Environment, Beihang University, Beijing 100191, China
10.1016/j.partic.2012.07.003
Volume 11, Issue 2, April 2013, Pages 216-224
Received 29 October 2011, Revised 3 July 2012, Accepted 4 July 2012, Available online 20 November 2012.
E-mail: lijunxu@buaa.edu.cn

Highlights

► Impact of particle size on the effective permittivity is analyzed numerically and experimentally. 

► Effective permittivity of the mixture increased with decreasing particle size. 

► High particle permittivity enhanced particle size dependence of the effective permittivity.

Abstract

The influence of particle size on the effective permittivity of a particle–gas mixture in the presence of particle clusters was studied using numerical analysis involving the three-dimensional finite element method. The effective permittivity of the mixture was obtained by calculating the electrostatic energy generated in the computation domain. Numerical results show that for fixed volume fraction of particles in the mixture, the effective permittivity of the mixture increases with decreasing particle size. Static experiments were carried out by using a differential capacitance sensor with parallel plates. The variation of the effective permittivity with particle size is shown by experimental data to agree with the numerical results. The methodology described and the results obtained in this paper may be used to help modify the measurement of particles volume fraction in the presence of particle clusters when a capacitance sensor is used.

Graphical abstract
Keywords
Particle size; Effective permittivity; Particle clusters; Finite element method; Capacitance sensor