Abstract

We investigate the dynamics of the human multilayer tear film, subject to a reservoir of lipid at the lids. A numerical method is constructed to solve a one-dimensional tear film model, derived using lubrication theory. Three choices for the open eye boundary conditions are explored including a specified lipid to mimic a lipid reservoir, a no lipid flux boundary condition to conserve lipid initially present in the system, and finally mixed lipid flux boundary condition which to our knowledge, has not been previously studied. For the blinking eye, we choose to use no diffusive flux for the lipid boundary condition.

Library of Congress Subject Headings

Eye--Mathematical models; Fluid dynamics--Mathematics; Tears--Mathematical models; Lipids

Publication Date

8-21-2015

Document Type

Thesis

Student Type

Graduate

Degree Name

Applied and Computational Mathematics (MS)

Department, Program, or Center

School of Mathematical Sciences (COS)

Advisor

Kara L. Maki

Advisor/Committee Member

Steven J. Weinstein

Advisor/Committee Member

Nathaniel S. Barlow

Comments

Physical copy available from RIT's Wallace Library at QM511 .B37 2015

Campus

RIT – Main Campus

Plan Codes

ACMTH-MS

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