Liquid flows horizontally through a circular tube filled with sand grains that are spherical and of the same diameter. As liquid flows through this sand bed, the liquid experiences a pressure drop. The pressure drop Ap is a function of average fluid velocity V, diameter D of the sand grains, spacing S between adjacent grains, liquid density p, and viscosity µ. Use dimensional analysis to determine an expression for the pressure drop in terms of these variables.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
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Fluid Mechanics

Liquid flows horizontally through a circular tube filled with sand grains that are spherical and of the same
diameter. As liquid flows through this sand bed, the liquid experiences a pressure drop. The pressure
drop Ap is a function of average fluid velocity V, diameter D of the sand grains, spacing S between
adjacent grains, liquid density p, and viscosity µ. Use dimensional analysis to determine an expression
for the pressure drop in terms of these variables.
Transcribed Image Text:Liquid flows horizontally through a circular tube filled with sand grains that are spherical and of the same diameter. As liquid flows through this sand bed, the liquid experiences a pressure drop. The pressure drop Ap is a function of average fluid velocity V, diameter D of the sand grains, spacing S between adjacent grains, liquid density p, and viscosity µ. Use dimensional analysis to determine an expression for the pressure drop in terms of these variables.
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