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An incompressible fluid of kinematic viscosity v p 10 4 m s flows steadily through a circular pipe of diameter d 10 cm The pipe flow is fully developed a If the average velocity V is 2 m s is the flow laminar or turbulent What is the value of the friction factor f b If the pipe is perfectly smooth on its internal surface and V is 20 m s the pipe flow is turbulent double check yourself Evaluate its friction factor using the Moody chart below c Repeat c by numerically solving the Colebrook formula using for example Matlab Attach the source code you used d Suppose that the pipe internal surface is rough Also suppose that increasing V up to 200 m s yields no change in the value of f found in a Determine the relative roughness e d using the Colebrook formula Friction Factor 0 1 0 09 0 08 0 07 0 06 0 05 0 04 0 03 0 02 0 015 0 01 Laminar Flow 64 HE Re rrrr Material Concrete coarse Concrete new smooth Drawn tubing Glass Plastic Perspex Iron cast Sewers old Steel mortar lined Steel rusted Steel structural or forged 0 025 Water mains old 1 0 HHH 103 mm 0 25 0 025 0 0025 0 0025 0 15 3 0 0 1 0 5 104 Moody Diagram Transition Region Complete Turbulence Friction Factor 105 2d PV21 106 Reynolds Number Re pVd l Smooth Pipe 107 0 05 0 04 0 03 0 02 0 015 0 01 0 005 0 002 0 001 5x10 4 2x10 4 10 4 5x10 5 10 5 5x10 6 10 6 108 Relative Pipe Roughness

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