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Mathematical Medicine and Biology (2010) 27, 211-225 doi:10.1093/imammb/dqp019
 

Summary: Mathematical Medicine and Biology (2010) 27, 211-225
doi:10.1093/imammb/dqp019
Advance Access publication on October 27, 2009
A model for wetting and evaporation of a post-blink precorneal tear film
KATLYN N. WINTER AND DANIEL M. ANDERSON
Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA
AND
RICHARD J. BRAUN§
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
[Received on 18 March 2009; revised on 31 July 2009; accepted on 24 August 2009]
We examine a fluid dynamic model for the evolution of a precorneal tear film that includes evaporation
of the aqueous layer and a wetting corneal surface. Our model extends previous work on the break-up
time for a post-blink tear film to include a more realistic model for evaporation. The evaporation model
includes the effects of conjoining pressure and predicts the existence of an equilibrium adsorbed fluid
layer that serves as a model for a wetting corneal surface/mucin layer. The model allows the prediction of
dewetting rates that are compared with experimental measurements. By choosing an expected thickness
where evaporation and conjoining pressure balance, we obtain qualitative agreement for the opening rate
with in vivo observations.
Keywords: tear film; evaporation; van der Waals; wetting.
1. Introduction

  

Source: Anderson, Daniel M. - Department of Mathematical Sciences, George Mason University

 

Collections: Mathematics