title: Tear film dynamics with evaporation, wetting, and time-dependent flux boundary condition on an eye-shaped domain.
abstract: We study tear film dynamics with evaporation on a wettable eye-shaped ocular surface using a lubrication model. The mathematical model has a time-dependent flux boundary condition that models the cycles of tear fluid supply and drainage; it mimics blinks on a stationary eye-shaped domain. We generate computational grids and solve the nonlinear governing equations using the OVERTURE computational framework.In vivoexperimental results using fluorescent imaging are used to visualize the influx and redistribution of tears for an open eye. Results from the numerical simulations are compared with the experiment. The model captures the flow around the meniscus and other dynamic features of human tear film observedin vivo.
authors.affiliation: Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA.
authors.forename: Longfei
authors.initials: L
authors.lastname: Li
authors.affiliation: Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA.
authors.forename: R J
authors.initials: RJ
authors.lastname: Braun
authors.affiliation: School of Mathematical Sciences, Rochester Institute of Technology, Rochester, New York 14623, USA.
authors.forename: K L
authors.initials: KL
authors.lastname: Maki
authors.affiliation: Lawrence Livermore National Laboratory, Box 808, L-550, Livermore, California 94551-0808, USA.
authors.forename: W D
authors.initials: WD
authors.lastname: Henshaw
authors.affiliation: College of Optometry, The Ohio State University, Columbus, Ohio 43210-1280, USA.
authors.forename: P E
authors.initials: PE
authors.lastname: King-Smith