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Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid
Type of publication: Article
Citation:
Publication status: Published
Journal: Applied Mathematics and Computation
Volume: 335
Year: 2018
Pages: 50-64
DOI: 10.1016/j.amc.2018.04.030
Abstract: We study the motion of vitreous humour in a deforming eyeball. From the mechanical and computational perspective this is a task to solve a fluid-structure interaction problem between a complex viscoelastic fluid (vitreous humour) and a nonlinear elastic solid (sclera and lens). We propose a numerical methodology capable of handling the fluid-structure interaction problem, and we demonstrate its applicability via solving the corresponding governing equations in a realistic geometrical setting and for realistic parameter values. It is shown that the choice of the rheological model for the vitreous humour has a negligible influence on the overall flow pattern in the domain of interest, whilst it has a significant impact on the mechanical stress distribution in the domain of interest.
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Keywords: Burgers fluid, eye, fluid structure interaction, nonlinear elasticity, viscoelastic fluids
Authors Tůma, Karel
Stein, Judith
Průša, Vít
Friedmann, Elfriede
Added by: [VP]
Total mark: 0
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