Continuum Scale Non Newtonian Particle Transport Model for Haemorheology -- Implementation and Validation

SCHENKEL, Torsten and HALLIDAY, Ian (2020). Continuum Scale Non Newtonian Particle Transport Model for Haemorheology -- Implementation and Validation. Arxiv Preprint.

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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 for haemodynamics simulations. Modern mechanistic rheology models are implemented and tested. 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
    SWORD Depositor: Symplectic Elements
    Depositing User: Symplectic Elements
    Date Deposited: 01 May 2020 11:20
    Last Modified: 01 May 2020 15:21
    URI: http://shura.shu.ac.uk/id/eprint/26215

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