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Water flows through the pipe contraction shown below. Based on the information provided in the figure, determine the following: 0.15 m 0.35 m (i)

Water flows through the pipe contraction shown below. Based on the information provided in the figure,

Water flows through the pipe contraction shown below. Based on the information provided in the figure, determine the following: 0.15 m 0.35 m (i) The velocity of the water in the wider pipe (of diameter 0.15 m) and the overall flow rate of the fluid in the pipe as a function of D. (ii) The diameter D of the narrower pipe in order to achieve a 100% increase in the fluid velocity. (iii) Calculate the Reynolds number for both parts of the pipe. (iv) Following the contraction, a pump of 4 kW of power is used to elevate the fluid by 15 m. Calculate the head loss due to friction. Additional information: 3 Density of water: p= 1000 kg m Kinematic viscosity of water: v= 1.12 x 100 m s 1 Gravitational acceleration: g = 9.81 ms 2

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