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

  • Ivan Rosa de SiqueiraEmail author
  • Márcio Silveira da Carvalho
Technical Paper


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.


Suspensions Particle migration Sudden expansion Finite element method 



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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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Ivan Rosa de Siqueira
    • 1
    Email author
  • Márcio Silveira da Carvalho
    • 2
  1. 1.Department of Chemical and Biomolecular EngineeringRice UniversityHoustonUSA
  2. 2.Department of Mechanical EngineeringPontifícia Universidade Católica do Rio de JaneiroRio de JaneiroBrazil

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