Learning Goal: To calculate the major head loss for laminar and turbulent flow in rough pipes Real pipes do not have per

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Learning Goal To Calculate The Major Head Loss For Laminar And Turbulent Flow In Rough Pipes Real Pipes Do Not Have Per 1 (61.8 KiB) Viewed 31 times

Learning Goal To Calculate The Major Head Loss For Laminar And Turbulent Flow In Rough Pipes Real Pipes Do Not Have Per 2 (30.23 KiB) Viewed 31 times

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Learning Goal: To calculate the major head loss for laminar and turbulent flow in rough pipes Real pipes do not have perfectly smooth walls. The roughness of a wall is characterized by a length € that represents an average height of the imperfections. Using dimensional analysis and experiments, the head loss for flow in rough pipes LV2 where L is the pipe length D is the pipe diameter. V is the average velocity of the flow, f is the friction factor, and g is the acceleration due to gravity. The friction factor is a function of both the Reynolds number Re VD and the relative roughness, f = 9 (Re, 5). This result applies to both laminar and turbulent flow. is hy = s D 29 V For laminar flow the friction factor can be determined analytically. The relative roughness turns out to not be important for laminar flow (for 64 small values), so the friction factor is f = In Re pipe flow, this friction factor applies for Re < 2300 For turbulent flow, there is no analytical solution for the friction factor. Instead, experiments have been performed to determine the value as a function of Re for different values of Ô These curves are typically shown on a log-log plot of f(Re) known as a Moody diagram One notable feature of all the curves is that the friction factor eventually becomes independent of Reynolds number (the curve becomes flat) as Re increases. The point at which the curve flattens out depends on the relative roughness Rougher pipes have larger friction factors and the curves flatten out soonen
Part A - Laminar flow Water flows through a circular pipe with = 4 5x10-2 mm D = 14 cm and L=30 m at a rate of Q = 115 cm/s The viscosity of water is Vw = 1x10-2 cm²/s What is the head loss due to friction? Express your answer in m to three significant figures. View Available Hint(s) Vol AΣΦ Ι η vec O 12 հլ m Submit
Part B. Moody diagram Review Water flows through a circular pipe with E = 45x10-2 mm and D=9 cm at a rate of Q = 90 L/s. The viscosity of water is Vw = 1x10-2 cm/s. What is the friction factor? Use the Moody diagram below 01 0.09 0.08 0.07 6 0.06 0.08 0.04 0.05 0.03 0.04 0.02 0.015 0.01 DO OLOM Oms 000 0.00 000 0.015 0.001 0.000 000 00004 0.000 0.01 0.000 (10) 234567 (10") 2345679 (10) Re 14567 ci 234567 (10) Express your answer to two significant figures.