Masters Degrees (Applied Mathematics)

Permanent URI for this collection

https://scholar.sun.ac.za/handle/10019.1/96344

Browse

Browsing Masters Degrees (Applied Mathematics) by Author "Goedhals, Jaime Erin"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Modelling blood flow during syringing
    (Stellenbosch : Stellenbosch University, 2024-03) Goedhals, Jaime Erin; De Villiers, Andie; Smit, Francois; Stellenbosch University. Faculty of Science. Dept. of Applied Mathematics.
    ENGLISH ABSTRACT: This project investigates modelling blood flow during syringing and the resulting haemol- ysis, which is defined as the breaking open of red blood cells, using numerical simulations in combination with haemolysis models. Haemolysis can be caused by a range of factors, which may be physical, chemical or biological in nature. Physical damage can manifest in scenarios such as emergency rapid blood transfusions conducted through syringing, a practice which may be employed in resuscitation procedures, particularly in rural hospitals. It has been demonstrated that such syringe-based transfusions result in noteworthy haemolysis, significantly surpassing the impact of pressure bag usage. This heightened haemolysis carries potential negative implications for the recipient of the transfusion. Blood flow is modelled, as a Newtonian fluid and as a non-Newtonian fluid, using the open source finite element software deal.II, which is then compared to numerical simulations conducted in Ansys Fluent. Both methods are validated against a known two- dimensional solution. Then, flow through a sudden contraction, which mimics a syringe, is simulated. Lastly, a three-dimensional setup of a hypodermic needle is implemented. The percentage haemolysis is calculated in a post-processing step using the time history of the shear stresses along streamlines. The numerical simulations showed good agreement with the analytical solutions, and the percentage haemolysis results achieved were consistent with published literature.