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LaTeX Math Block
anchorI7FAR
alignmentleft
{\bf u}  = -  M \cdot \nabla p = - \left< \frac{k}{\mu} \right > \cdot \nabla p

where

LaTeX Math Inline
body\displaystyle M = \left< \frac{k}{\mu} \right>


multi-phase mobility


Darcy flow only happens for relatively slow percolation

LaTeX Math Inline
body{ \rm Re} < 2,000

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Physics /  Fluid Dynamics / Percolation

Forchheimer Equation ]


References

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 Jules Dupuit (1863). Etudes Théoriques et Pratiques sur le mouvement des Eaux dans les canaux découverts et à travers les terrains perméables (Second ed.). Paris: Dunod.