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| Volumetric Flowrate |
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| LaTeX Math Block |
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| q_0^2 = \frac{2 d A^2 G}{f} \cdot \left[
1 + \frac{ (\rho/\rho_0)^2 -1}{1- (\rho/\rho_0)^{\frac{2}{n-1}} \cdot
\exp \left( \frac{fL/d}{ n-1} \right)}
\right]
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| LaTeX Math Block |
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| \cos \theta \neq 0 |
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| LaTeX Math Block |
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| q_0^2 = \frac{A^2}{c^* \rho^*} \cdot \frac{(\rho_0/\rho)^2-1}{2 \ln (\rho_0/\rho) + fL/d} |
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| LaTeX Math Block |
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| \cos \theta = 0 |
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where
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle \rho/\rho_0 = \frac%7B1+c%5e* p%7D%7B1+c%5e* p_0%7D |
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The equation
| LaTeX Math Block Reference |
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for horizontal pipelines can be re-written explicitly in terms of pressure:| LaTeX Math Block |
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\frac{fL}{2d} = (\rho^*/j_m^2) \cdot (p_0-p) \cdot (1+ 0.5 \, c^* \cdot (p+p_0)) - \ln \frac{1 + c^* \cdot p_0}{1 + c^* \cdot p} |
See also
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