The pressure drop when water (8.90 × 10^(-4)Pa.s) flows for a distance of 1 m in a 10 mm gap between two stationary and horizontal plates of infinite width is 0.01 kPa. Starting with the Navier-Stokes equations, derive an equation for the velocity profile and determine the velocity of the flow at the point where the velocity is highest. To gain full mark, you must draw a schematic of the flow and flow features (i.e. velocity profile, wall boundaries, coordinates), state all your assumptions about the properties of the fluid and the nature of the flow.