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The momentum balance equation for the slow flow with 

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body{ \rm Re} < 1
:equation 

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{\bf u}  = - \frac{k}{\mu} \nabla p

where

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body{\bf u}

flow velocity

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body\nabla p

pressure gradient

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body{k

formation permeability

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body\mu

fluid visocity



Only valid for the slow flow: 

LaTeX Math Inline
body{ \rm Re} < 1