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

Florian Janoschek (), Jens Harting () and Federico Toschi ()
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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;
Federico Toschi: Department of Applied Physics, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands;

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 12, 1-9

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.

Keywords: Effective diffusion; continuous blood modeling; channel flow; boundary conditions; lattice Boltzmann method; 82.70.Kj; 87.19.U-; 47.11.Qr (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114410137

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