A liquid contained in a steadily rotating cylinder with a vertical axis moves as a rigid...

A liquid contained in a steadily rotating cylinder with a vertical axis moves as a rigid body. In this case, as shown in Fig. P7.32 and Video V7.3, the fluid velocity, V, varies directly with the radius r so that V = rω where ω is the angular velocity of the rotating cylinder. Assume that the characteristic Reynolds number for this system is based on the radius and velocity at the wall of the cylinder. (a) For a 12-in.-diameter cylinder rotating with an angular velocity ω = 0.4, rad/s, calculate the Reynolds number if the liquid has a kinematic viscosity of (i) 0.33 ft²/s or (ii) 0.33 x 10^-2 ft²/s. (b) If the cylinder were suddenly stopped, would you expect the motion of the liquids to be similar for the two liquids of part (a)? Explain. Do the results shown in Video V7.3 support your conclusions?