Modelling the flow of aqueous humor in anterior chamber of the eye

摘要

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.