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Density form


LaTeX Math Block
anchorPressureProfile
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L = L(\rho) =\int_{\rho_0}^{\rho} \frac{ 1/c(\rho) - j_m^2/\rho  }{G \, \rho^2 - F(\rho)} \, d\rho


Pressure-Density form


LaTeX Math Block
anchorPressureProfile
alignmentleft
L = \int_{p_0}^{p} \frac{ \rho \, dp}{G \, \rho^2 - F(\rho)} 
- j_m^2 \cdot \int_{\rho_0}^{\rho} \frac{1}{\rho} \, \frac{d \rho}{G \, \rho^2 - F(\rho)}

This form is useful for derivation of Pressure Profile in GF-Proxy Pipe Flow @model and Pressure Profile in GFC-Proxy Pipe Flow @model 


See also