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An incompressible Newtonian liquid of constant density and viscosity undergoes steady tangential laminar flow between two vertical coaxial cylinders of radii R and 2R, respectively, open at the top. The cylinders are rotating in opposite directions but with equal angular velocities (i.e., 2 and -12, respectively). Derive the velocity profile of the rotating liquid b. Locate the point r, of zero velocity in the liquid Derive the shear stress profile of the liquid Calculate the torque required to rotate the inner cylinder Derive the pressure profile of the liquid, if its height on the inner wall is zo. a d. e