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titleDerivation


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See Derivation of Pressure Profile in GF-Proxy Pipe Flow @model



Alternative forms

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Density form


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L = L(\rho) =\int_{\rho_0}^{\rho} \frac{ 1}{G \, \rho^2 - F} \, \frac{ d\rho}{c(\rho)} -\frac{d}{f} \cdot \ln \frac{F/\rho^2 - G}{ F/\rho_0^2-G}


Approximations

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\rho(p) = \tilde \rho \cdot \sqrt{ 1- \frac{f}{2d} \frac{j_m^2}{G} ( \rho_0^2 - {\tilde \rho}^2) }



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\int_{\rho_0}^{\tilde \rho} \frac{d \rho}{ \rho^2 \, c(\rho)} = G \cdot L




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 ] 

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