Influence of curvature on tear film dynamics

被引：10

作者：

Allouche, Moussa ^{[1
,2
]}

Abderrahmane, Hamid Ait ^{[3
]}

Djouadi, Seddik M. ^{[3
]}

Mansouri, Kacem ^{[2
]}

机构：

[1] Univ Bejaia, Fac Technol, Lab Mecan Mat & Energet, Bejaia, Algeria

[2] Univ Boumerdes, Lab Energet Mecan & Ingn, Fac Sci Ingenieur, Boumerdes, Algeria

[3] Khalifa Univ Sci & Technol, Masdar Inst Sci & Technol, Dept Mech Engn, Abu Dhabi, U Arab Emirates

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 2017年 / 66卷

关键词：

Tear film flow; Curved substrate; Lubrication theory; Polar lipid; SINGLE-EQUATION MODELS; NONLINEAR-THEORY; BLINK CYCLE; RUPTURE; LAYER;

D O I：

10.1016/j.euromechflu.2017.06.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper generalizes the model of Aydemir et al. (2010) by approximating the cornea surface as spherical rather than flat. The model, which consists of a pair of coupled nonlinear partial differential equations for the thickness of the aqueous layer and the concentration of the lipid, is solved in the domain squeezed between a moving upper lid and fixed lower lid. Away the upper lid the curvature has a weak influence on the film thickness; this confirms the conclusion of Braun et al. (2012). However, the curvature influences the thinning rate of the tear film near the upper eyelid. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：81 / 91

页数：11

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