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A simple model of aqueous outflow through the trabecular meshwork in eye has been developed. The model considers the meshwork as an annular cylindrical ring with uniform thickness of homogenous, isotropic, viscoelastic material, swollen with continuously percolating aqueous humor through it. It incorporates a strain-dependent permeability function into Darcy’s law which is coupled to the force balance for the bulk material. A simple analytical expression relating aqueous flux to pressure differential is developed which shows how strain-dependent permeability can lead to reduction in hydraulic conductivity (aqueous outflow facility) with increasing intraocular pressure (IOP) as observed in experiments by ophthalmologists. Analytical expressions for the displacement, fluid pressure and dilatation in the trabecular meshwork have been obtained.

A simple mathematical model for the natural convectional flow of aqueous humor in the anterior chamber of a human eye is developed. The model treats the flow as viscosity dominated due to its low Reynolds number and driven by buoyancy affects because of the temperature gradient (though small but significant) across the anterior chamber. The model incorporates Beavers and Joseph slip flow condition and the convection boundary condition at porous posterior surface of the cornea. The expressions for the temperature and velocity profiles in the anterior chamber as well as for the stream function are obtained. The computational results are presented through graphs and the effects of model parameters: the convection heat transfer coefficient, the thermal conductivity and the slip parameter on the velocity and temperature distributions also have been shown and discussed.

A mathematical model is presented for the flow of aqueous humor in Schlemm’s canal in the eye. Schlemm’s canal is modelled as a porous compliant channel that is held open by the trabecular mesh work. The inner wall of canal is porous and aqueous humour percolate through it in the canal. The aqueous humour percolating along the canal segment before reaching a collector channel. The model introduces in a canal-segment between two collector channels as a elliptical cross-sectional and circular cross-sectional tubes. Aqueous fluid pressure and flow profiles in the proposed model are drawn and the effects of important parameter on these profiles are brought out and discussed.