The pressure drop, Δpp, along a straight pipe of diameter D has been experimentally studied and it is observed that for laminar flow of a given fluid and pipe, the pressure drop varies directly with the distance, l, between pressure taps. Assume that Δpp is a function of D, and l, the velocity, V, and the fluid viscosity, µµ. Use dimensional analysis to deduce how the pressure drop varies with pipe diameter.

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Wiy doeres rere okhn a pump whon working betwon the same pressure range?

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)