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Motivation

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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 challenges in Pipe Flow Dynamics is to predict the along-hole pressure distribution during the stationary stationary fluid  transporttransport.

In many practical cases the flow pressure distribution can be considered as approximated by Isothermal or Quasi-isothermal model of fluid flow.

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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InputsOutputs

Pipeline trajectory

LaTeX Math Inline
body{\bf r} = {\bf r}(l) = \{ x(l), \, y(l), \, z(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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In most practical applications in water producing or water injecting wells the water can be considered as incompressible and friction factor  an be assumed constant

LaTeX Math Inline
body f(l) = f_s = \rm const
 along-hole ( see  Darcy friction factor in water producing/injecting wells ).



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