Answer :
Flow is defined as the amount of water that flows through a pipe or open channel per unit of time. Velocity head is the head equivalent of the velocity of the liquid. For a 12-inch Ductile Iron Pipe with a flow rate of 3 MGD, the velocity head of 9 feet is 0.54.
Flow is delivered from a splitter box to an aeration basin through a 12-inch Ductile Iron Pipe. For a flow rate of 3 MGD, the velocity head of 9 feet in the Ductile Iron Pipe is 0.54. Option b) 0.54 is the correct answer.What is flow?Flow is defined as the amount of water that flows through a pipe or open channel per unit of time. Velocity head is the head equivalent of the velocity of the liquid. Velocity head of flowing water at a given point is equal to the square of the velocity at that point divided by two times the acceleration due to gravity. In the given problem, the diameter of the pipe is given to be 12 inches and the flow rate is 3 MGD. The formula for velocity head is given byv²/2gWhere v is the velocity of flow and g is the acceleration due to gravity.For the given problem,v = Q/Awhere Q is the flow rate and A is the cross-sectional area of the pipe.For a 12-inch diameter pipe,A = πd²/4 = π(1ft)²/4 = 0.7854ft²Q = 3 MGD = (3 x 10^6)/24/60/60 = 34.72 ft³/sv = Q/A = 34.72/0.7854 = 44.26 ft/s
Velocity head = v²/2g = (44.26)²/2g = 1027.9/g ftFor g = 32.2 ft/s², velocity head = 31.87 ft = 9.71 m (approximately)Therefore, the correct option is b) 0.54
Explanation:For the given problem,v = Q/Awhere Q is the flow rate and A is the cross-sectional area of the pipe.For a 12-inch diameter pipe,A = πd²/4 = π(1ft)²/4 = 0.7854ft²Q = 3 MGD = (3 x 10^6)/24/60/60 = 34.72 ft³/sv = Q/A = 34.72/0.7854 = 44.26 ft/sVelocity head = v²/2g = (44.26)²/2g = 1027.9/g ftFor g = 32.2 ft/s², velocity head = 31.87 ft = 9.71 m (approximately)
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