Applied Mathematics publications

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A computational model for blood flow through highly curved arteries with asymmetric stenoses
(1997) Ang, Keng Cheng; Mazumdar, J.; Hamilton-Craig, Ian
In this paper, we develop a three dimensional model of blood flow through curved arteries with asymmetric stenoses. Firstly, the Navier-Stokes equations representing Newtonian flow are solved using PHOENICS, a computational fluid dynamics package which utilises the Finite Volume method of solution. The severity of the stenoses considered in this study vary from about 40% to about 70%. Subsequently, the model is solved for Reynolds numbers ranging from 100 to 1200. The pressure drop results show good agreement with published results. The results also show that stenoses on a bent artery has a significant effect on blood flow characteristics.
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Mathematical modelling of asymmetric stenosis in three dimensions
(Australian Physical and Engineering Sciences in Medicine, 1995) Mazumdar, J.; Ang, Keng Cheng