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LaTeX Math Block
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{\rm Re} = \frac{\rho_L \, vu_L^2 \, dA_L^2L + \rho_g \, vu_g^2 \, dA_g^2g}{\mu_L \, vu_L \, d\sqrt{A_L} + \mu_g \, vu_g \, d\sqrt{A_g}}

where

LaTeX Math Inline
body\rho_L

liquid density

LaTeX Math Inline
body\rho_g

gas density

LaTeX Math Inline
bodyvu_L

liquid velocity

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bodyvu_g

gas velocity

LaTeX Math Inline
bodyA_L

cross-sectional area occupied by liquid 

LaTeX Math Inline
bodyA_g

cross-sectional area occupied by gas 

LaTeX Math Inline
body\mu_L

liquid viscoisty

LaTeX Math Inline
body\mu_g

gas viscosity


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titleDerivation


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Reynolds number represent the ration of intertial forces to viscous forces:

LaTeX Math Block
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{\rm Re} = \frac{\rm Intertial \ Forces}{\rm Viscocus \ Forces}



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