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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v31.i6.20
pages 552-562

Rheological Effects on Tear Film Rupture

Madhu Sudan Reddy Gorla
Chicago Glaucoma Consultants Evanston, Illinois 60201
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA


The drainage of the precorneal tear film in humans is studied. A fluid dynamic model for the drainage of the aqueous layer is developed that includes rheological effects. The Ostwald de Waele type power law model is employed to model the tear film. The nonlinear evolution equation for the film is formulated using the balance equations including a body force term due to van der Waals molecular attractions, lubrication theory and perturbation expansion method. The governing equation was solved by the finite difference method as part of an initial value problem for spatial periodic boundary conditions. The influence of the power law exponent on rupture is discussed. The results indicate that the rheological effects of the tear film fluid affect the film drainage process and therefore be included in models for tear film drainage.