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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 (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

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