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L = \int_{\rho_0}^{\rho} \frac{1/c- j_m^2 / \rho}{G \, \rho^2 - F} \, d \rho
=\int_{\rho_0}^{\rho} \frac{\rho \, dp}{G \, \rho^2 - F} -\frac{j_m^2}{2} \, \ln \frac{F/\rho^2 - G}{ F/\rho_0^2-G} |
See also
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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pressure Profile in Homogeneous Steady-State Pipe Flow @model / Pressure Profile in LGF-Proxy Pipe Flow @model