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LaTeX Math Inline
bodyn \geq 1
 which is equivalent to
LaTeX Math Inline
body--uriencoded--L%5e* \geq 1
 and holds true for the most of practical tube diameters (< 1 m )


LaTeX Math Block
anchorq0_G
alignmentleft
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]



LaTeX Math Block
anchorq0_G
alignmentleft
\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]



LaTeX Math Block
anchorstatic
alignmentleft
\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}}



LaTeX Math Block
anchor1
alignmentleft
p(L) = p_0 + \frac{1}{c_0} \, \left[ \frac{\rho}{\rho_0} -1 \right]


Pressure Profile in GC-proxy static fluid column @model


LaTeX Math Block
anchorstatic
alignmentleft
\rho = \rho_0 \, \exp (L/L^*c_0 \, \rho_0 \Delta Z)



LaTeX Math Block
anchorstatic
alignmentleft
p(L) =  p_0 + \frac{-1 + (\}{c_0} \, \left[ \exp (c_0 \, \rho_0/\rho^*) \cdot \exp(L/L^*)}{c^*}   Delta Z) -1 \right]



See also

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