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Table of Contents
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Motivation

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One of the key problems in designing the pipelines and controlling the pipeline fluid transport is to predict the temperature and pressure losses during the stationary fluid transport.

Pipeline flow simulator is addressing this problem. It should account for the varying pipeline trajectory, gravity effects, fluid friction with pipeline walls and varying heat exchange with surroundings.


Definition

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InputsOuputs

Pipeline trajectory

LaTeX Math Inline
body{\bf r} = {\bf r}(l)

along-pipe distribution of stabilised pressure 

LaTeX Math Inline
bodyp(l)

Pipeline cross-section area 

LaTeX Math Inline
bodyA(l)

along-pipe distribution of stabilised flow rate 

LaTeX Math Inline
bodyq(l)

Fluid density

LaTeX Math Inline
body\rho(T, p)
and fluid viscosity 
LaTeX Math Inline
body\mu(T, p)

along-pipe distribution of stabilised average flow velocity 

LaTeX Math Inline
bodyu(l)
 




LaTeX Math Block
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\bigg( 1 -  \frac{c(p) \, \rho_s^2 \, q_s^2}{A^2}   \bigg )  \frac{dp}{dl} = \rho(p) \, g \, \frac{dz}{dl}  - \frac{\rho_s^2 \, q_s^2 }{2 A^2 d} \frac{f(p)}{\rho(p)}

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