In the paper, currently used methods for modeling the flow of the aqueous humor through eye structures are presented. Then a computational model based on rheological models of Newtonian and non-Newtonian fluids is proposed. The proposed model may be used for modeling the flow of the aqueous humor through the trabecular meshwork. The trabecular meshwork is modeled as an array of rectilinear parallel capillary tubes. The flow of Newtonian and non-Newtonian fluids is considered. As a results of discussion mathematical equations of permeability of porous media and velocity of fluid flow through porous media have been received.
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The flow of a generalized second grade lubricant of a power-law type in a clearance of the thrust curvilinear bearing is considered. To solve this problem the boundary layer equations expressed for axially symmetric case in a curvilinear orthogonal coordinate system connected with one of the bearing surfaces by used. The method of averaging inertia and viscoplastic terms is used to find the solution of the boundary layer equations. As a result the formula for pressure distribution is obtained. Examples the lubricant flow in step and spherical hydrostatic bearings are given.
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The flow of a second grade fluid past a porous plate has been studied using a modified model of second grade fluid that has shear dependent viscosity and can predict the normal stress difference. The boundary value problem subject to two different sets of boundary conditions is investigated. In the first instance, we consider that the plate is at temperature higher than the fluid. The second case deals with the analysis of an insulated plate. The differential equations governing the flow are solved using the homotopy analysis method (HAM). Expressions for velocity and temperature profiles are plotted and discussed.
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