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One of the key problems in designing the pipelines and wells and controlling the fluid transport along is to predict the pressure along-hole pressure distribution during the stationary fluid transport.

In many cases the flow can be considered as isothermal or quasi-isothermal.

Pipeline flow simulator is addressing this problem with account of the varying pipeline trajectory, gravity effects and fluid friction with pipeline walls.


Inputs & Outputs

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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)
 

Inner pipe wall roughness

LaTeX Math Inline
body\epsilon

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Equations

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LaTeX Math Block
anchor9QRCZ
alignmentleft
\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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