A non-linear fluid suspension model for blood flow
Fluid Dynamics
2018-12-26 v2
Abstract
Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to depend on the volume fraction (hematocrit) and the shear rate. The migration of the red blood cells (RBCs) is studied using a concentration flux equation. A parametric study with two representative problems, namely simple shear flow and a pressure driven flow demonstrate the ability of this reduced-order model to reproduce several key features of the two-fluid model (mixture theory approach), with much lower computational cost.
Cite
@article{arxiv.1808.08346,
title = {A non-linear fluid suspension model for blood flow},
author = {Wei-Tao Wu and Nadine Aubry and James F. Antaki and Mehrdad Massoudi},
journal= {arXiv preprint arXiv:1808.08346},
year = {2018}
}