The driving equation for steady-state single-phase fluid between infinite parallel planes:

(1)	$\begin{array}{l}\displaystyle u =\frac{k}{\mu} \nabla p\end{array}$

where

$\begin{array}{l}u\end{array}$	flow velocity
$\begin{array}{l}\nabla p\end{array}$	pressure gradient along the flow
$\begin{array}{l}\mu\end{array}$	fluid viscosity
$\begin{array}{l}k = A^2/(8 \, \pi)\end{array}$	pipe cross-sectional permeability
$\begin{array}{l}A\end{array}$	cross-sectional pipe area

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See also