A power-law fluid with consistency index K = 0.223 Pa.s^0.59, flow behavior index n=0.59, and density =1200 kg/m³ is pumped through a pipe having an inside diameter of 0.0475 m at a rate of 5 m³/h from a tank A to tank B. The level of the liquid in tank A is 2 m below the pump, while the discharge point is 4 m above the pump. The suction line is 3 m long with one 90^o elbow, while the discharge line is 6 m long with two 90^o elbows. Calculate the required pump in kW. The efficiency of the pump is 70%. Assume that the level in tank A is constant. Neglect all the sudden enlargements and contractions.

Reynolds number for power-law fluid: Re_G

In case of laminar of turbulent flow, the friction factor equations are given below.

L_e/D for 90^o elbow is 32

L_e/D for globe valve is 300