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Shear-induced particle migration in the flow of particle suspensions through a sudden plane expansion

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Abstract

This work investigates the creeping flow of particle suspensions through an abrupt 1:4 plane expansion. The suspension is composed by non-Brownian, rigid spherical particles suspended in a viscous Newtonian liquid. The flow is described by mass and momentum conservation equations together with a convection–diffusion transport equation that accounts for shear-induced particle migration according to the diffusive flux model. The resulting set of fully coupled, nonlinear differential equations is solved with a stabilized finite element method. A detailed parametric study is presented in terms of suspension bulk concentration, particle Péclet number and ratio of diffusivity coefficients, and the numerical results show significant effects of these parameters on the particle concentration field in the flow.

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Acknowledgements

The authors would like to acknowledge the financial support from the Brazilian Research Council (CNPq) and the Industrial Partnership for Research in Interfacial Materials & Engineering (IPRIME) of the University of Minnesota.

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Authors and Affiliations

  1. Department of Chemical and Biomolecular Engineering, Rice University, Houston, TX, 77005, USA

    Ivan Rosa de Siqueira

  2. Department of Mechanical Engineering, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, RJ, 22451-900, Brazil

    Márcio Silveira da Carvalho

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  1. Ivan Rosa de Siqueira
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  2. Márcio Silveira da Carvalho
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Correspondence to Ivan Rosa de Siqueira.

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Technical Editor: Francisco Ricardo Cunha.

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de Siqueira, I.R., da Carvalho, M.S. Shear-induced particle migration in the flow of particle suspensions through a sudden plane expansion. J Braz. Soc. Mech. Sci. Eng. 40, 228 (2018). https://doi.org/10.1007/s40430-018-1155-z

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