4. Modelling flow of aqueous humor between iris and cornea: Flow of aqueous humor (incompressible Newtonian fluid with viscosity and density p) is modeled as freely flowing down fluid, vertically (in the y-direction) through a rectangular slit of opening 28 between two fixed walls (representing iris and cornea). The length of the wall is L and width of the wall is w. You have to determine the velocity profile i.e., velocity in y direction as function of x by applying momentum balance. There is no pressure gradient in the direction of flow and gravity force acts in positive y-direction (i.e. direction of flow). a) Draw your control volume for this system and identify all the forces (and its direction) in a diagram according to the axis shown in the figure (make sure all the forces and areas are properly indicated and labeled) and write the full momentum balance over the control volume. b) Write the differential equation (from the momentum balance) and the boundary conditions you need to solve for an expression for the velocity as a function of x (i.e., vy(x), in terms of the thickness of the aqueous humor layer and relevant fluid properties. Reference Fluid +z 28 +x L vy(x) Flow of aqueous humor between iris and cornea c) Solve the differential equation with appropriate boundary conditions to obtain the velocity profile. Find an expression for the average velocity and volumetric flow rate. What is fluid shear stress in the layers adjacent to the walls?

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4. Modelling flow of aqueous humor between iris and cornea: Flow of aqueous humor (incompressible Newtonian fluid with viscosity and density p) is modeled as freely flowing down fluid, vertically (in the y-direction) through a rectangular slit of opening 28 between two fixed walls (representing iris and cornea). The le