Continuum Scale Non Newtonian Particle Transport Model for Hæmorheology

SCHENKEL, Torsten and HALLIDAY, Ian (2021). Continuum Scale Non Newtonian Particle Transport Model for Hæmorheology. Mathematics, 9 (17).

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Official URL: https://www.mdpi.com/2227-7390/9/17/2100
Open Access URL: https://www.mdpi.com/2227-7390/9/17/2100/pdf (Published version)
Link to published version:: https://doi.org/10.3390/math9172100
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    Abstract

    We present a continuum scale particle transport model for red blood cells following collision arguments, in a diffusive flux formulation. The model is implemented in FOAM, in a framework suitable for haemodynamics simulations and adapted to multi-scaling. Specifically, the framework we present is able to ingest transport coefficient models to be derived, prospectively, from complimentary but independent meso-scale simulations. For present purposes, we consider modern semi-mechanistic rheology models, which we implement and test as proxies for such data. The model is verified against a known analytical solution and shows excellent agreement for high quality meshes and good agreement for typical meshes as used in vascular flow simulations. Simulation results for different size and time scales show that migration of red blood cells does occur on physiologically relevany timescales on small vessels below 1 mm and that the haematocrit concentration modulates the non-Newtonian viscosity. This model forms part of a multi-scale approach to haemorheology and model parameters will be derived from meso-scale simulations using multi-component Lattice Boltzmann methods. The code, haemoFoam, is made available for interested researchers.

    Item Type: Article
    Identification Number: https://doi.org/10.3390/math9172100
    SWORD Depositor: Symplectic Elements
    Depositing User: Symplectic Elements
    Date Deposited: 03 Sep 2021 11:30
    Last Modified: 03 Sep 2021 11:45
    URI: http://shura.shu.ac.uk/id/eprint/28985

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