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A mathematical model for the study of flow through disc-type prosthetic heart valves

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Abstract

In this study, computational fluid dynamic methods are used to construct a simple mathematical model of blood flow through a disc-type prosthetic heart valve. The vorticity-transport equation and Poisson's equation are solved cyclically on a computer using a finite difference method. Stream function, vorticity, velocity and shear stresses are computed and plots are presented for Reynolds numbers from 50 to 6000 to help identify the flow characteristics of the valve which may contribute to problems such as thrombus formation, endothelial damage, tissue overgrowth, and erythrocyte damage. Numerical methods together with digital computers can thus be used to locate problem areas in different prosthetic valve designs.

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Authors and Affiliations

  1. Department of Applied Mathematics, The University of Adelaide, 5001, Adelaide, South Australia, Australia

    J. Mazumdar & K. Thalassoudis

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  1. J. Mazumdar
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  2. K. Thalassoudis
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Mazumdar, J., Thalassoudis, K. A mathematical model for the study of flow through disc-type prosthetic heart valves. Med. Biol. Eng. Comput. 21, 400–409 (1983). https://doi.org/10.1007/BF02442626

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  • DOI: https://doi.org/10.1007/BF02442626

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