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Topic : Flow of Incompressible Fluids in Pipelines
Crude oil of density 925 kg/m3 and absolute viscosity 0.065 N.sec/m2 at 20oC is pumped through a horizontal pipeline 100 mm in diameter, at a rate of 10 lit/sec. Determine the head loss in each kilometer of pipeline and the shear stress at the pipe wall. What power is supplied by the pumps per kilometer length ?
Average flow velocity through the pipe :
Calculate Reynolds number to determine the type of flow :
Since Re is less than 2,000, therefore the flow is laminar.
Calculate the friction coefficient through the following equation :
Friction losses using Darcy-Weisbach equation :
Shear stress at the pipe wall (boundary shear stress) :
Calculate the hydraulic radius for the full circular pipe :
Calculate the slope of the total energy line :
Therefore, the shear stress at the pipe wall (boundary shear stress) :
Power supplied by the pumps per kilometer length :
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