Problem $1$

An incompressible, Newtonian, fluid is in steady, laminar flow within the annular region between two concentric cylinders of radii $r_i$ and $r_0.$ The cylinders are inclined at an angle of $$ from the vertical as shown in the figure below. Determine the velocity distribution and the volumetric flow rate from the cylinders.?

Please include pictures with your solutions and any helpful advice to solve the problem.