Consider water flow through a pipe 6 m long and internal diameter 300 mm. The head loss due to friction at the pipe surface is known to be 6 m. The roughness surface is known to be 3 mm. Take the ambient temperature as 15 °C. (a) Calculate the average flow velocity,u and the flow rate, Q in the pipe. Since the friction factor f is unknown, assume it to be 0.04, as a first guess. (b) From results of lol uso the Moody diagramme to find urato friction

Elements Of Electromagnetics
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Consider water flow through a pipe 6 m long and internal diameter 300 mm. The head
loss due to friction at the pipe surface is known to be 6 m. The roughness surface is
known to be 3 mm. Take the ambient temperature as 15 °C.
(a) Calculate the average flow velocity,u and the flow rate, Q in the pipe. Since the
friction factor f is unknown, assume it to be 0.04, as a first guess.
(b) From results of (a), use the Moody diagramme to find a more accurate friction
factor, and hence a better average flow velocity and flow rate.
(c) Consider a different approach, using the Darcy-Weisback equation and the
Colebrook equation, to find the flow rate in the pipe. Derive a general equation that
gives the flow rate directly. Then substitute in the numerical values to find a number for
Q for this problem.
Transcribed Image Text:Consider water flow through a pipe 6 m long and internal diameter 300 mm. The head loss due to friction at the pipe surface is known to be 6 m. The roughness surface is known to be 3 mm. Take the ambient temperature as 15 °C. (a) Calculate the average flow velocity,u and the flow rate, Q in the pipe. Since the friction factor f is unknown, assume it to be 0.04, as a first guess. (b) From results of (a), use the Moody diagramme to find a more accurate friction factor, and hence a better average flow velocity and flow rate. (c) Consider a different approach, using the Darcy-Weisback equation and the Colebrook equation, to find the flow rate in the pipe. Derive a general equation that gives the flow rate directly. Then substitute in the numerical values to find a number for Q for this problem.
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