Thin film dynamics on a prolate spheroid with application to the cornea

DOI10.1007/s10665-011-9482-4zbMath1398.76012OpenAlexW2101158464WikidataQ63461393 ScholiaQ63461393MaRDI QIDQ1990328

Tobin A. Driscoll, P. E. King-Smith, G. B. McFadden, R. Usha, L. Pamela Cook, Richard J. Braun

Publication date: 25 October 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-011-9482-4

zbMATH Keywords

lubrication theorycorneathin film flowtear filmcurved substrate

Mathematics Subject Classification ID

Thin fluid films (76A20) Medical applications (general) (92C50) Biological fluid mechanics (76Z99)

Related Items (16)

Simulation of parabolic flow on an eye-shaped domain with moving boundary ⋮ Nonlinear parameter identification in a corneal geometry model ⋮ Controlled drug release from a spheroidal matrix ⋮ A model of tear-film breakup with continuous mucin concentration and viscosity profiles ⋮ Heat transfer and tear film dynamics over multiple blink cycles ⋮ Influence of curvature on tear film dynamics ⋮ Dynamics of a pre-lens tear film after a blink: Model, evolution, and rupture ⋮ Tear film dynamics with evaporation, wetting, and time-dependent flux boundary condition on an eye-shaped domain ⋮ Hydrodynamic flows on curved surfaces: spectral numerical methods for radial manifold shapes ⋮ Bessel function model of corneal topography ⋮ Axisymmetric evolution of gravity-driven thin films on a small sphere ⋮ Dynamics of fluorescent imaging for rapid tear thinning ⋮ NUMERICAL GRADIENT FLOW DISCRETIZATION OF VISCOUS THIN FILMS ON CURVED GEOMETRIES ⋮ 2D numerical simulation of tear film dynamics: effects of shear-thinning properties ⋮ Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: a generalized moving least-squares (GMLS) approach ⋮ Dynamics and mechanisms for tear breakup (TBU) on the ocular surface

Cites Work

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• Tear film dynamics on an eye-shaped domain. Part 2. Flux boundary conditions
• An overset grid method for the study of reflex tearing
• A lubrication model of coating flows over a curved substrate in space
• Rupture Analysis of the Corneal Mucus Layer of the Tear Film
• Modelling drainage of the precorneal tear film after a blink
• Limiting Cases of Gravitational Drainage of a Vertical Free Film for Evaluating Surfactants
• Model problems for the tear film in a blink cycle: single-equation models
• Dynamics of tear film deposition and draining

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