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with the following approximations:

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/\rho_0 =

\frac%7B1+c%5e* p%7D%7B1+c%5e* p_0%7D

c%5e* \cdot (p-p_0)

 

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


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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