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LaTeX Math Block
anchorORI6M
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\begin{cases}
A_1 = \frac{\omega_{12}}{1+\omega_{12}} \cdot A = \frac{\dot m_1 \, \rho_2 \, u_2}{\dot m_1 \, \rho_2 \, u_2 + \dot m_2 \, \rho_1 \, u_1} \cdot A
\\ 
A_2 = \frac{1}{1+\omega_{12}} \cdot A = \frac{\dot m_2 \, \rho_1 \, u_1}{\dot m_1 \, \rho_2 \, u_2 + \dot m_2 \, \rho_1 \, u_1} \cdot A
\end{cases}


For homogeneous 2-phase pipe flow: 

LaTeX Math Inline
bodyu_1 = u_2 = u_m
 and areas ratio are going to be:

LaTeX Math Block
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\omega_{12} = \frac{\dot m_1 \, \rho_2 }{\dot m_2 \, \rho_1}


See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid Flow / Pipe Flow / Pipe Flow Dynamics / Pipe Flow Simulation

Pipe ] [ Pipeline ] [ Pipeline Engineering ]