Water flows from a large reservoir A to a lower large reservoir B through 291 m of smooth sloped piping as shown in the drawing. Both reservoirs have their surfaces open to the open air, the specific mass of the water is 998 kg/m³ and the kinematic viscosity of the water is equal to 0.00000101 m²/s. The internal diameter of the pipe is 0.091 m and the average velocity of water flowing through this pipe is 2 m/s. Neglecting the localized head losses of the tube inlet and outlet in the reservoirs, calculate the difference in the dimensions of the reservoir surfaces in m necessary to maintain the average flow velocity in the tube at this given value of 2 m/s. Suggestion: Use the explicit S.E. Haaland equation for the calculation of the friction factor.
Water flows from a large reservoir A to a lower large reservoir B through 291 m of smooth sloped piping as shown in the drawing. Both reservoirs have their surfaces open to the open air, the specific mass of the water is 998 kg/m³ and the kinematic viscosity of the water is equal to 0.00000101 m²/s. The internal diameter of the pipe is 0.091 m and the average velocity of water flowing through this pipe is 2 m/s. Neglecting the localized head losses of the tube inlet and outlet in the reservoirs, calculate the difference in the dimensions of the reservoir surfaces in m necessary to maintain the average flow velocity in the tube at this given value of 2 m/s. Suggestion: Use the explicit S.E. Haaland equation for the calculation of the friction factor.
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