Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid

Karel Tůma, Judith Stein, Vít Průša and Elfriede Friedmann

Applied Mathematics and Computation, 2018, vol. 335, issue C, 50-64

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.

Keywords: Viscoelastic fluid; Burgers model; Nonlinear elasticity; Fluid structure interaction; Eye (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:50-64

DOI: 10.1016/j.amc.2018.04.030

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