a) In a vertical pipe carrying water, see Figure 3, pressure gauges are inserted at points A and B where the pipe diameters are 0.15 m and 0.075 m respectively. The point B is 2.5 m below A and when the flow rate down the pipe is 0.02 m'/s, the pressure at B is 14715N/m greater than that at A. Assuming the losses in the pipe between A and B can be expressed as: k where vis the velocity at A. 1. Find the value of the value of k [7] 2. If the gauges at A and B are replaced by tubes filled with water and connected to a U-tube containing mercury of relative density 13.6, give a sketch showing how the levels in the two limbs of the U-tube differ and calculate the value of this [7] difference in metres. da = 0.2m OA dg = 0.2m OB Figure 3: Ta be used for Que 4a. b) An incompressible fluid with kinematic viscosity of 7.4 x 10-7 m/s and specific gravity of 0.88, is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom plate is held stationary, the fluid attains a linear velocity profile between the gap of 0.5 mm between the plate. Determine the stress in Pascals on the surface of the top plate. State assumptions and draw the diagram. [6]