Outputs
LaTeX Math Inline |
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body | --uriencoded--\%7B s_\alpha \%7D_%7B\alpha=1..n%7D |
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| phase holdup |
LaTeX Math Inline |
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body | --uriencoded--\%7B q_\alpha \%7D_%7B\alpha=1..n%7D |
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| phase volumetric flowrate |
Inputs
| pipe cross-sectional area |
LaTeX Math Inline |
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body | --uriencoded--\%7B \dot m_\alpha \%7D_%7B\alpha = 1..n%7D |
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| phase mass flowrates |
LaTeX Math Inline |
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body | --uriencoded--\%7B \rho_\alpha \%7D_%7B\alpha = 1..n%7D |
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| phase densities |
Solver
LaTeX Math Block |
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| s_\alpha = \frac{\dot m_\alpha}{\rho_\alpha \, u_\alpha} \cdot \left( \sum_\beta \frac{\dot m_\beta}{\rho_\beta \, u_\beta} \right)^{-1} |
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LaTeX Math Block |
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| q_\alpha = s_\alpha \, u_\alpha \, A |
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Derivation
Given the multiphase flow of
phases:
and mass flowrates
...
LaTeX Math Block |
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A = \sum_\alpha A_\alpha |
LaTeX Math Block |
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s_\alpha = A_\alpha/A |
LaTeX Math Block |
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\sum_\alpha s_\alpha = 1 |
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