Toolbox Reynolds Number Relative roughness Darcy Equation HP Equation Moody Chart.

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Presentation transcript:

Toolbox Reynolds Number Relative roughness Darcy Equation HP Equation Moody Chart

More Toolbox Explicit equation Hazen- Williams Hydraulic radius HW Coefficient

Practice problems 6th: 8.29, 8.30, 8.31 5th: 9.3, 9.4, 9.5

Friction Pipe – Darcy Equation Minor losses Fittings Valves Special purpose components

Minor Losses Head loss: streamline separation Loss coefficient

Minor Losses Inlet/exit Expansion/ contraction Bends/elbows Valves Globe Needle Gate Ball Check Butterfly Diaphram

Loss Coefficient hL = K V2/2g

Type of Component or Fitting Minor Loss Coefficient - ξ - Tee, Flanged, Dividing Line Flow 0.2 Tee, Threaded, Dividing Line Flow 0.9 Tee, Flanged, Dividing Branched Flow 1.0 Tee, Threaded , Dividing Branch Flow 2.0 Union, Threaded 0.08 Elbow, Flanged Regular 90o 0.3 Elbow, Threaded Regular 90o 1.5 Elbow, Threaded Regular 45o 0.4 Elbow, Flanged Long Radius 90o Elbow, Threaded Long Radius 90o 0.7 Elbow, Flanged Long Radius 45o Return Bend, Flanged 180o Return Bend, Threaded 180o Globe Valve, Fully Open 10 Angle Valve, Fully Open 2 Gate Valve, Fully Open 0.15 Gate Valve, 1/4 Closed 0.26 Gate Valve, 1/2 Closed 2.1 Gate Valve, 3/4 Closed 17 Swing Check Valve, Forward Flow Ball Valve, Fully Open 0.05 Ball Valve, 1/3 Closed 5.5 Ball Valve, 2/3 Closed 200 Diaphragm Valve, Open 2.3 Diaphragm Valve, Half Open 4.3 Diaphragm Valve, 1/4 Open 21 Water meter 7

Minor Losses Equivalent length LE/D fT

Images & examples References Mechanics of Fluids, 3rd Edition, Potter & Wiggert, Brooks & Cole Applied Fluid Mechanics, 6th Edition, Mott, Prentice Hall Engineering Fluid Mechanics, 5th Edition Crowe, & Roberson, Wiley Fluid Mechanics Cengel & Cimbala McGraw Hill