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
相关论文
共 50 条
  • [1] Mathematical Modelling for Dimensional Accuracy in Vacuum Moulding
    Rupinder Singh
    [J]. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2018, 88 : 65 - 71
  • [2] Mathematical Modelling for Dimensional Accuracy in Vacuum Moulding
    Singh, Rupinder
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2018, 88 (01) : 65 - 71
  • [3] Injection moulding: Mathematical modelling and numerical simulations
    Antonelli, D
    Farina, A
    [J]. PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON FLOW PROCESSES IN COMPOSITE MATERIALS, 1999, : 145 - 152
  • [4] Resin transfer moulding: mathematical modelling and numerical simulations
    Antonelli, D
    Farina, A
    [J]. COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING, 1999, 30 (12) : 1367 - 1385
  • [5] Mathematical modelling in Contact Mechanics
    Sofonea, Mircea
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2005, 32 : 67 - 74
  • [6] Mathematical Model for Evaluating Soft Contact Lens Fit
    Young, Graeme
    [J]. OPTOMETRY AND VISION SCIENCE, 2014, 91 (07) : E167 - E176
  • [7] Mathematical modelling of chlorine decay in a contact tank
    Ismail, AIM
    Falconer, RA
    [J]. DIFFERENTIAL EQUATIONS: THEORY, NUMERICS AND APPLICATIONS, 1997, : 311 - 323
  • [8] Mathematical modelling of indirect contact rotary dryers
    Shene, C
    Bravo, S
    [J]. DRYING TECHNOLOGY, 1998, 16 (08) : 1567 - 1583
  • [9] MATHEMATICAL MODELLING OF IMPULSE COMPACTION PROCESS OF MOULDING SANDS - SIMULATION AND EXPERIMENTAL RESEARCH
    Mikulczynski, T.
    Ciskowski, S.
    [J]. ARCHIVES OF METALLURGY AND MATERIALS, 2010, 55 (03) : 875 - 881
  • [10] Modelling the evaporation of a tear film over a contact lens
    Talbott, Kevin
    Xu, Amber
    Anderson, Daniel M.
    Seshaiyer, Padmanabhan
    [J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2015, 32 (02): : 209 - 238