Mathematical modelling of contact lens moulding

被引:2
|
作者
Murphy, Ellen A. [1 ,2 ]
Lee, William T. [1 ,3 ]
机构
[1] Univ Limerick, Dept Math & Stat, MACSI, Limerick, Ireland
[2] Univ Bath, Inst Math Innovat, Bath BA2 7AY, Avon, England
[3] Univ Portsmouth, Portsmouth PO1 2UP, Hants, England
基金
爱尔兰科学基金会;
关键词
contact lens; thin film; lubrication theory; SQUEEZING FLOW; LUBRICATION; FILM;
D O I
10.1093/imamat/hxw060
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Compression moulded contact lenses are produced by placing fluid between two moulds and squeezing the fluid outwards to form the shape of the lens. A common problem seen in this process is that at times the fluid moves outwards asymmetrically, resulting in partially formed lenses. In this article, the system is modelled using the thin film equations and the results are analysed to find the optimal operating setup to reduce asymmetrical flow. A simple model with one curved surface and one flat surface is considered first. This assumption is verified by a more realistic model that investigates the effects of curvature on the dynamics of the fluid. The simple model is modified to include the effect of surface tension. The results of this model show that surface tension plays no role in the fluid dynamics for this particular fluid. A second modified model allows for lateral movement of the lower mould. The model shows that allowing the lower mould to slide hinders the symmetrical flow of the fluid.
引用
收藏
页码:473 / 495
页数:23
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