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Low compressible fluids:

LaTeX Math Inline
body--uriencoded--c%5e* p \ll 1, \, \, c%5e* p_0 \ll 1

High compressible fluids:

LaTeX Math Inline
body--uriencoded--c%5e* p \gg 1, \, \, c%5e* p_0 \gg 1

LaTeX Math Inline
body--uriencoded--\displaystyle \rho_0/\rho = c%5e* \cdot (p_0-p)

 

LaTeX Math Inline
body\displaystyle \rho_0/\rho = p_0/p


Approximations

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Pressure profile in static fluid column

(

, no flow

)

:

LaTeX Math Inline
body\dot m = 0, \, q_0 = 0


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





See also

Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pressure Profile in Homogeneous Quasi-Isothermal Steady-State Pipe Flow @model

[ Pressure Profile in G-Proxy Pipe Flow @model / Pressure Profile in GF-Proxy Pipe Flow @model ] 

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