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 | |
| Added by: | [VP] |
| Total mark: | 0 |
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