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

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 (vitreour 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 is has a significant impact on the mechanical stress distribution in the domain of interest.

References in corpus (2)

• Development of three dimensional constitutive theories based on lower dimensional experimental data
• On thermodynamics of viscoelastic rate type fluids with temperature dependent material coefficients

Cited by in corpus (4)

• Stellar transits across a magnetized accretion torus as a mechanism for plasmoid ejection
• On diffusive variants of some classical viscoelastic rate-type models
• Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type fluid
• Implicit type constitutive relations for elastic solids and their use in the development of mathematical models for viscoelastic fluids