Tuesday, April 24, 2018

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Fluid Mechanics - Viscous Flow

The pressure dropped by a slow-moving, viscous fluid through a pipe is described by the Hagen-Poiseuille equation. This equation applies only for conditions of low Reynolds number; i.e. when viscous forces are the dominant restraint to fluid motion through the pipe, and turbulence is nonexistent:
 

Where,

  Q = Flow rate (gallons per minute)

  k = Unit conversion factor = 7.86 ×105

  ΔP = Pressure drop (inches of water column)

  D = Pipe diameter (inches)

  μ = Liquid viscosity (centipoise) – this is a temperature-dependent variable!

  L = Length of pipe section (inches)

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