Water is pumped at a rate 50o litres per minute through a 1 km horizontal, circular pipe of diameter 20 cm. The pipe has a friction factor of 0.05. a) Calculate the average velocity in the pipe. b) Determine the Reynolds number in the pipe and explain what the flow regime is. c) Determine the pressure loss along the length of the pipe. d) Determine the power a pump would need to supply in order to overcome the friction in the pipe.

If a pumped hydro installation can hold 30 million m3 of water, and the water head is 36 m: a)Determine the energy content of the installation. b)If the reservoir normally empties within eight hours and fifty-two minutes and the efficiency of the turbine is 67%, calculate the output power of the installation. Calculate the total pressure that the turbine is experiencing

From a PPRC (shiny surface) pipe with an inner diameter of 20.5 mm and a length of 70 cm, water at 20 ° C flows at a flow rate of 1500 L / h and a pressure difference of 52 mbar occurs. Based on these data, find the speed of the water, the Re number, the friction factor, the f value and the pressure difference (in mbar) and show the f value you found from the Moody diagram. (For 20 ° C water; p = 998 kg / m3,µ= 1.003x10-3 N.s / m2, v = 1.005x10-6 m2 / s, 1 bar = 10.2141mSS)

A 75-mm diameter pipe is connected to a 100-mm diameter pipe. If the velocity of flow in the 75-mm pipe is 2 m/s, what is the velocity of flow in the 100-mm pipe? What is the flow rate in the 75-mm pipe in m^3/s?