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A pressure drop of 200 kPa is measured over a 50 m length of 2 mm diameter pipe transporting 30 C water If a laminar flow exists calculate the flow rate Solution 1 At 30 C the kinetic viscosity of water is 0 801 X10 6 2 Reynolds number is calculated as 2496 v 3 Frictional factor for laminar flow is calculated as 0 0256 v 4 From Energy equation pressure drop is equal to total energy loss thus o pressure drop is equivalent to 20 486 m o total frictional loss is equivalent to 32 66 V 1 m o Hence v 0 6265 m s 5 The flow rate is then Q ml s 6 Check the Reynolds number to make sure the flow is laminar Re
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