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titleDerivation


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See Derivation of Pressure Profile in Steady-State Homogeneous Pipe Flow @model.



Approximations

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Pressure Profile in G-Proxy Pipe Flow @modelquardrature

LaTeX Math Inline
body\theta(l) = \theta_0 = \rm const

Pressure Profile in GF-Proxy Pipe Flow @modelquardrature

LaTeX Math Inline
body\theta(l) = \theta_0 = \rm const
LaTeX Math Inline
bodyf(T, p)=f_0 = \rm const

Pressure Profile in GFC-Proxy Pipe Flow @modelalgebraic equation

LaTeX Math Inline
body\theta(l) = \theta_0 = \rm const
LaTeX Math Inline
bodyf(T, p)=f_0 = \rm const
LaTeX Math Inline
body--uriencoded--\rho(T, p) = \rho(T) \cdot (1+ c%5e*(T) \cdot p/p_0)

Pressure Profile in FC0-Proxy Pipe Flow @modeclosed-form expression

LaTeX Math Inline
body\rho(p)=\rho_0 = \rm const
LaTeX Math Inline
bodyf(T, p)=f_0 = \rm const


See also

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