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Derivation of Pressure Profile in Stationary Quasi-Isothermal Homogenous Pipe Flow @model

Created by Arthur Aslanyan (Nafta College), last modified on Nov 17, 2019

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(1)	$\begin{array}{l}\displaystyle \bigg( 1 - \frac{c(p) \, \rho_s^2 \, q_s^2}{A^2} \bigg ) \frac{dp}{dl} = \rho \, g \, \frac{dz}{dl} - \frac{\rho_s^2 \, q_s^2 }{2 A^2 d} \frac{f(p)}{\rho}\end{array}$

(2)	$\begin{array}{l}\displaystyle q(l) = \frac{\rho_s \cdot q_s}{\rho}\end{array}$

(3)	$\begin{array}{l}\displaystyle u(l) = \frac{\rho_s \cdot q_s}{\rho(p) \cdot A}\end{array}$

See Also

Petroleum Industry / Upstream / Pipe Flow Simulation / Water Pipe Flow @model / Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model

[ Darcy friction factor ] [ Darcy friction factor @model ]

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