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Advances in Transport Phenomena 2010 pp 295–331Cite as

Multi-scale Modelling of Liquid Suspensions of Micron Particles in the Presence of Nanoparticles

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Part of the book series: Advances in Transport Phenomena ((ADVTRANS,volume 2))

Abstract

A combined continuous, discrete, and statistic mechanics (CCDS) method is proposed to model micron particle dynamics in the presence of nanoparticles – a highly asymmetric system. The CCDS method treats the liquid medium as a continuum and the micron particles as a discrete phase, whereas the statistics mechanics method is used to treat the nanoparticles. The treatment of the nanoparticles involves the use of the Ornstein-Zernike equation with Percus-Yevick approximation based on the hard-sphere interaction. Such an approach enables the effective coupling between different length scales. Sedimentation of micron particles in the presence of nanoparticles is used as a case study for the CCDS method. It is shown that, at a high salt concentration where electrostatic repulsive force is significantly screened, the structural force induced by both monodisperse and bidisperse nanoparticles could overcome the van der Waals attractive force between the micron particles and thus prevent particle flocculation. It is also shown that the introduction of disparity in the system complicates the effective interactions between the micron particles and consequently the particle dynamics.

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Authors and Affiliations

  1. Institute of Particle Science and Engineering, University of Leeds, Leeds, LS2 9JT, UK

    Chane-Yuan Yang & Yulong Ding

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  1. Chane-Yuan Yang
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  2. Yulong Ding
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Editors and Affiliations

  1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong

    Liqiu Wang

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Yang, CY., Ding, Y. (2011). Multi-scale Modelling of Liquid Suspensions of Micron Particles in the Presence of Nanoparticles. In: Wang, L. (eds) Advances in Transport Phenomena 2010. Advances in Transport Phenomena, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19466-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-19466-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19465-8

  • Online ISBN: 978-3-642-19466-5

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