In a dairy factory, raw milk with a density of 1035 kg / m3 and a viscosity of 2.5 cP is transferred with the help of a centrifugal pump 150 m from the milk intake tank and 30 m above the operating tank at a rate of 1 m3 / min. For this purpose, 2 inch Sch 40 commercial steel pipe is used, centrifugal pump efficiency is 0.75. There are 2 angular valves on the pipe line. Considering that the source and target points are at atmospheric pressure;

a) Calculate the required pump work (J / kg) and power (W).

b) What is the pressure difference (kPa) between the pump inlet and outlet points in the pump pipe system operating under these conditions?

c) Use the 3 centrifugal pumps operating at 20 m3 / h at a rate of 20 m3 / h instead of the existing conditions for this work, and calculate whether the food engineer is right, claiming that less pump work and power will be needed.

d) If the apricot pulp with a density of 1050 kg / m3, consistency constant 6.8 and flow behavior index of 0.5 was pumped instead of milk under the same conditions, what would be the pressure difference (kPa) between the pump work (J / kg) and the pump inlet-outlet points?

fluid mechanic\food engineering