A 50% (by volume) solution of glycerol in water at 20C flows in a pipe of circular section and internal diameter 4 mm. The pressure gradient in the...

A 50% (by volume) solution of glycerol in water at 20°C flows in a pipe of circular section and internal diameter 4 mm. The pressure gradient in the pipe is -14,300 Pa per metre. Confirm that the flow is laminar, calculate the volumetric flow, and calculate the local velocity of the liquid at a perpendicular distance of 1 mm from the inner-wall of the pipe.