Hagen-Poiseuille flow (source code)

= Hagen-Poiseuille flow
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{wiki=Hagen–Poiseuille_equation}

= Poiseuille flow
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{synonym}

Steady pressure-driven flow through a circular pipe has the parabolic profile
$$
w(r)=-\frac1{4\mu}\frac{dp}{dz}(R^2-r^2).
$$