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Viscous Losses in Pipes

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Fluids Lab
Viscous Losses in Pipes

Objectives:
Compare the flow rate/pressure drop characteristics for flow in pipes in the laminar and turbulent regions.
Apparatus:
The experiment is conducted with the help of a Manometer, with which the pressure drop between two gauge points can be measured. For small pressure differences the water (oil) / air manometer is used, whereas for larger pressure differences the mercury / water (oil) manometer is used. The flow rate of the water is measured in volume per time; the flow rate of the oil is measured with a rota meter.

Operating Procedure
Before start:
Close the valve in the downstream limb of the water/air (oil/air) manometer
Switch on the pump
Shut the flow control valve until there is no more fluid flow

Taking measurements:
Open the valve in the downstream limb of the water/air (oil/air) manometer
Open flow control valve until a deflection of the manometer is registered
Measure pressure difference and flow rate
Change the settings of the flow control valve and repeat experiment

Theory Viscous friction losses in a pipe can be predicted with the Darcy-Weisbach equation: Δp = f (L/D) (1/2) ρ V²
Where ΔP = pressure drop, L = length of pipe, D = pipe diameter, = fluid density and V = mean velocity of the fluid (V = Q/A).
The value of the friction factor f is equal to 64/Re (for laminar flow), where Re=VD/v. Also f is equal to 0.316Re-1/4 for turbulent flow.

Water – observed | Derived | | | Analysis | | | ΔP | Q | V | | | Seconds | N/m2 | m3/s | m/s | Log ΔP | Log V | | | | | | | 334 | 186.39 | 5.99E-07 | 8.47E-02 | 2.270422608 | -1.072050386 | 147 | 362.97 | 1.82E-06 | 2.57E-01 | 2.559870731 | -0.58926079 | 95 | 588.6 | 2.11E-06 | 2.99E-01 | 2.769820258 | -0.525049722 | 92 | 931.95 | 3.26E-06 | 4.61E-01 | 2.969392613 | -0.336114578 | 75 | 1157.58 |

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