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Mathematical modelling of the motion of hard contact lenses

Published online by Cambridge University Press:  26 September 2008

J. A. Moriarty  and
E. L. Terrill
J. A. Moriarty
Affiliation:
OCIAM, Mathematical Institute, 24–29 St. Giles', Oxford OX1 3LB, UK
E. L. Terrill
Affiliation:
OCIAM, Mathematical Institute, 24–29 St. Giles', Oxford OX1 3LB, UK
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Abstract

In this paper we examine the movement of hard contact lenses on the eye. In so doing, we take into account hydrodynamic forces underneath the lens, as well as surface tension forces at the lens periphery. This involves solving for the free surface of the tear film away from the lens in order to determine the magnitudes of the pressure and surface tension forces on the lens. The analysis, which assumes quasi-steady motion, is carried out in both two and three dimensions.

Information

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 6 , December 1996 , pp. 575 - 594
Copyright
Copyright © Cambridge University Press 1996

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