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LaTeX Math Block
anchorRe
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{\rm Re} = \frac{u \, LD}{\nu} = \frac{\rho \, u \, LD}{\mu}

where

LaTeX Math Inline
bodyu

average cross-sectional flow velocity

LaTeX Math Inline
bodyLD

characteristic linear dimension of the fluid conduit

LaTeX Math Inline
body\rho

fluid density

LaTeX Math Inline
body\mu

dynamic viscosity

LaTeX Math Inline
body\nu

kinematic viscosity 

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LaTeX Math Block
anchor0PD5X
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{\rm Re} = \frac{{\rm Inertial} \ {\rm forces}}{{\rm Viscous}  \ {\rm forces}} = \frac{u \, LD}{\nu}



See also

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Physics / Fluid Dynamics / Fluid flow regimes