International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

For Online Access

Best Paper Award Selection - Editorial Board Site

2004, Volume31

Issue 6

117 pages

DOI: 10.1615/InterJFluidMechRes.v31.i6

Issue price - $270.00

Madhu Sudan Reddy Gorla
Chicago Glaucoma Consultants Evanston, Illinois 60201

Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, 2121 Euclid Ave., SH232, Cleveland, Ohio 44115, 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.

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

Article price - $35.00

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