Intro: Glycerin is handled using the tank shown on Figure 1, which consist of two co-rotating screws that pull-up a glycerin fluid out of a tank. You can assume that H

i. Choose the appropriate component of the Navier-Stokes equations and write the differential momentum balance. Clearly state all assumptions used when eliminating terms of the equation.

ii. Write the boundary conditions in mathematical form.

iii. Determine the equation for the velocity profile.

iv. Determine the equation for the volumetric flow rate

v. Determine the stress profile.

vi. Determine the force exerted by the fluid on each surface.

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