Influence of curvature on tear film dynamics

Moussa Allouche; Hamid Ait Abderrahmane; Seddik M. Djouadi; Kacem Mansouri

doi:10.1016/j.euromechflu.2017.06.004

Influence of curvature on tear film dynamics

Moussa Allouche, Hamid Ait Abderrahmane, Seddik M. Djouadi, Kacem Mansouri

Mechanical & Nuclear Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	British English
Pages (from-to)	81-91
Number of pages	11
Journal	European Journal of Mechanics, B/Fluids
Volume	66
DOIs	https://doi.org/10.1016/j.euromechflu.2017.06.004
State	Published - Nov 2017

Keywords

Curved substrate
Lubrication theory
Polar lipid
Tear film flow

Access to Document

10.1016/j.euromechflu.2017.06.004

Cite this

@article{6c83fd6a8e6e4e3490d409c938122663,

title = "Influence of curvature on tear film dynamics",

abstract = "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.",

keywords = "Curved substrate, Lubrication theory, Polar lipid, Tear film flow",

author = "Moussa Allouche and Abderrahmane, {Hamid Ait} and Djouadi, {Seddik M.} and Kacem Mansouri",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Masson SAS",

year = "2017",

month = nov,

doi = "10.1016/j.euromechflu.2017.06.004",

language = "British English",

volume = "66",

pages = "81--91",

journal = "European Journal of Mechanics, B/Fluids",

issn = "0997-7546",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Influence of curvature on tear film dynamics

AU - Allouche, Moussa

AU - Abderrahmane, Hamid Ait

AU - Djouadi, Seddik M.

AU - Mansouri, Kacem

PY - 2017/11

Y1 - 2017/11

N2 - 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.

AB - 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.

KW - Curved substrate

KW - Lubrication theory

KW - Polar lipid

KW - Tear film flow

UR - http://www.scopus.com/inward/record.url?scp=85025472858&partnerID=8YFLogxK

U2 - 10.1016/j.euromechflu.2017.06.004

DO - 10.1016/j.euromechflu.2017.06.004

M3 - Article

AN - SCOPUS:85025472858

SN - 0997-7546

VL - 66

SP - 81

EP - 91

JO - European Journal of Mechanics, B/Fluids

JF - European Journal of Mechanics, B/Fluids

ER -

Influence of curvature on tear film dynamics

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this