a) Two pipes have a length ? each. One of them has a diameter D, and the other a diameter d.if the pipes are arranged in parallel, the loss of head when a total quantity of water Q flows through them is h, but, if the pipes are arranged in series and the same quantity Q flows through them, the loss of head is H. If ?=?/2, find the ratio of H to h, neglecting secondary
a) Two pipes have a length ? each. One of them has a diameter D, and the other a diameter d.if the pipes are arranged in parallel, the loss of head when a total quantity of water Q flows through them is h, but, if the pipes are arranged in series and the same quantity Q flows through them, the loss of head is H. If ?=?/2, find the ratio of H to h, neglecting secondary losses and assuming the pipe coefficient f has a constant value.
b) A pipeline of 0.6m diameter is 1.5km long.To increase the discharge, another line of the same diameter is introduced parallel to the first in the second half of the length.Neglecting minor losses, find the increase in discharge if 4f = 0.04. The head at inlet is 300mm.
c) Determine the difference in the elevations between the water surfaces in the two tanks which are connected by a horizontal pipe of diameter 300 mm and a length of 400 mm. The rate of flow of water through the pipe is 300 litres/s. Consider all losses and takef=0.008.
d) Water at 20°C is to be pumped from a reservoir (ZA=2 m) to another reservoir at a higher elevation (ZB=9 m) through two 25-m-long plastic pipes connected in parallel. The diameters ofthe two pipes are 3 cm and 5 cm. Water is to be pumped by a 68 percent efficient motor–pump unit that draws 7kW of electric power during operation.The minor losses and the head loss in the pipes that connect the parallel pipes to the two reservoirs are considered to be negligible. Determine the total flow rate between the reservoirs and the flow rates through each of the parallel pipes.
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