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which is equivalent to LaTeX Math Inline |
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body | --uriencoded--L%5e* \geq 1 |
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and holds true for the most of practical tube diameters (< 1 m ) |
LaTeX Math Block |
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| q_0^2 = \frac{2 \, d \, A^2 }{f \, L} \cdot \left [
\Delta Z + ((\rho/\rho_0)^2 -1) \cdot \frac{ \Delta Z}{1 - \exp(2 \, c_0 \, \rho_0 \, \Delta Z)}
\right] |
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LaTeX Math Block |
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| \dot m^2 = \rho_0^2 \cdot \frac{2 \, d \, A^2 }{f \, L} \cdot \left [
\Delta Z + ((\rho/\rho_0)^2 -1) \cdot \frac{ \Delta Z}{1 - \exp(2 \, c_0 \, \rho_0 \, \Delta Z)}
\right] |
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LaTeX Math Block |
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anchor | static |
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alignment | left |
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| \rho = \rho_0 \, \exp (с_0 \, \rho_0 \, \Delta Z) \cdot \sqrt{ 1 - \frac{f}{2d} \cdot \frac{q_0^2}{A^2} \cdot \frac{1 - \exp(- 2 \, c_0 \, \rho_0 \, \Delta Z) } {\Delta Z}} |
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LaTeX Math Block |
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| p(L) = p_0 + \frac{1}{c_0} \, \left[ \frac{\rho}{\rho_0} -1 \right] |
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Pressure Profile in GC-proxy static fluid column @model |
LaTeX Math Block |
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anchor | static |
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alignment | left |
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| \rho = \rho_0 \, \exp (L/L^*c_0 \, \rho_0 \Delta Z) |
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LaTeX Math Block |
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anchor | static |
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alignment | left |
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| p(L) = p_0 + \frac{-1 + (\}{c_0} \, \left[ \exp (c_0 \, \rho_0/\rho^*) \cdot \exp(L/L^*)}{c^*} Delta Z) -1 \right] |
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See also
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