Thin film evolution over a thin porous layer: Modeling a tear film on a contact lens
K Nong, DM Anderson - Siam Journal on Applied Mathematics, 2010 - SIAM
We examine a mathematical model describing the behavior of the precontact lens tear film of
a human eye. Our work examines the effect of contact lens thickness and lens permeability
on the film dynamics. Also investigated are gravitational effects and the effects of different
slip models at the fluid-lens interface. A mathematical model for the evolution of the tear film
is derived using a lubrication approximation applied to the hydrodynamic equations of
motion in the fluid film and the porous layer. The model is a nonlinear fourth-order partial …
a human eye. Our work examines the effect of contact lens thickness and lens permeability
on the film dynamics. Also investigated are gravitational effects and the effects of different
slip models at the fluid-lens interface. A mathematical model for the evolution of the tear film
is derived using a lubrication approximation applied to the hydrodynamic equations of
motion in the fluid film and the porous layer. The model is a nonlinear fourth-order partial …
Thin Film Evolution Over a Thin Porous Layer: Modeling a Tear Film on a Contact Lens
D Anderson, K Nong - APS Division of Fluid Dynamics …, 2010 - ui.adsabs.harvard.edu
We examine a mathematical model that describes the behavior of the pre-contact lens tear
film of a human eye. Our work examines the effect of contact lens thickness and lens
permeability and slip on the film dynamics. A mathematical model for the evolution of the
tear film is derived using a lubrication approximation applied to the hydrodynamic equations
of motion in the fluid film and the porous layer. The model is a nonlinear fourth order partial
differential equation subject to boundary conditions and an initial condition for post-blink film …
film of a human eye. Our work examines the effect of contact lens thickness and lens
permeability and slip on the film dynamics. A mathematical model for the evolution of the
tear film is derived using a lubrication approximation applied to the hydrodynamic equations
of motion in the fluid film and the porous layer. The model is a nonlinear fourth order partial
differential equation subject to boundary conditions and an initial condition for post-blink film …