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Toward a continuum model for particle-induced velocity fluctuations in suspension flow through a stenosed geometry

Author

Listed:
  • Florian Janoschek

    (Department of Applied Physics, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands)

  • Jens Harting

    (Department of Applied Physics, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands;
    Faculty of Science and Technology, MESA+ Institute, University of Twente, P.O. Box 217, NL-7500 AE Enschede, The Netherlands)

  • Federico Toschi

    (Department of Applied Physics, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands;
    CNR-IAC, Via dei Taurini 19, 00185 Rome, Italy)

Abstract

Nonparticulate continuum descriptions allow for computationally efficient modeling of suspension flows at scales that are inaccessible to more detailed particulate approaches. It is well known that the presence of particles influences the effective viscosity of a suspension and that this effect has thus to be accounted for in macroscopic continuum models. The present paper aims at developing a nonparticulate model that reproduces not only the rheology but also the cell-induced velocity fluctuations, responsible for enhanced diffusivity. The results are obtained from a coarse-grained blood model based on the lattice Boltzmann (LB) method. The benchmark system comprises a flow between two parallel plates with one of them featuring a smooth obstacle imitating a stenosis. Appropriate boundary conditions are developed for the particulate model to generate equilibrated cell configurations mimicking an infinite channel in front of the stenosis. The averaged flow field in the bulk of the channel can be described well by a nonparticulate simulation with a matched viscosity. We show that our proposed phenomenological model is capable to reproduce many features of the velocity fluctuations.

Suggested Citation

  • Florian Janoschek & Jens Harting & Federico Toschi, 2014. "Toward a continuum model for particle-induced velocity fluctuations in suspension flow through a stenosed geometry," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(12), pages 1-9.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:12:n:s0129183114410137
    DOI: 10.1142/S0129183114410137
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