Power-law Fluid - Velocity Profile in A Circular Pipe

Velocity Profile in A Circular Pipe

Just like a Newtonian fluid in a circular pipe gives a quadratic velocity profile (see Hagen–Poiseuille equation), a power-law fluid will result in a power-law velocity profile,

where is the (radially) local axial velocity, is the pressure gradient along the pipe, and is the pipe radius.

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