Question

5 points Water flows from left reservoir to right reservoir in a 5 cm diameter pipe system as shown in the figure. The pipe is made out of cast iron which has a sand roughness of 0.26 mm. Discharge in the pipe system is given as 0.006 m/s. Dynamic viscosity of water is 1.3 x 103 kg/m.s. Density of water is 1000 kg/m Determine the friction factor? water 9 m 4 m 80 m 0.011 0.021 O 0.031 0.041

Answer 1

-3 Solutions Giren: discharge -0-0.006 marsen Dynamic viscosity Density of bater - P - 4000 kg/m3 1.3x10 kg/ms diameter 5 un o.osm me know that A V → 0.006 klu 11 5² x v xo.os > V 3. 05577 nys Reynolds Number re e vd u Re = ooos 1000 x 3.05577 x 1.3 x 103 Re = 11t5 29.6 Re 1.17 x 10

As pipe ů Cast Iron with Roughnen € - 0.26 mm Relative Roughness 0.26 wla 50 Relative Roughpers E = 0.00 52. As Reywo wold Number Re = 1. 17xios > 4000 sol the flow ů The balant ,مك E 0.0052 Moody singram to find friction factor (f) I find it 0.031 {Approx) Answer we find

Moody Diagram 0.1 0.09 0.08 0.07 0.06 Transition Region 0.05 0.05 0.04 0.03 0.02 0.015 0.01 0.04 0.03 0.005 Friction Factor Laminar Flow 64 Re 0.02 0.002 0.001 5x10 2x10 10-4 Relative Pipe Roughness a 0.015 Complete turbulence Material € (mm) Concrete, care 0.25 Concrete, new smooth 0.025 Drawn tubing 0.0025 Glass Plastic Perspex Iron, cast Sewers.old 3.0 Steel, mortar lined 0.1 Steel, rusted 0.5 Steel, structural or forged 0.025 Water mains, old 1.0 0.0025 0.01 0.15 5x10-50 10-5 5x10-6 10-6 WINT 10 10 Friction Factor = 9AP 109 10 Reynolds Number, Re = Smooth Pipe 10 10 Vd Figure 1: Moody diagram.