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One of the key challenges in Pipe Flow Dynamics is to predict the along-hole the pressure distribution along the pipe during the stationary fluid transport.The 

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

Pipeline Flow Pressure Model 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
Intake pressure 

LaTeX Math Inline
bodyp_0

Intake

rate 

pressure 

LaTeX Math Inline
body

q_0Pipeline trajectory inclination  

p(l)

Pressure distribution along the pipe

LaTeX Math Inline
body

\theta (l) as function of pipeline trajectory

q_0

Intake flowrate 

LaTeX Math Inline
body

{\bf r} = {\bf r}

u(l)

= \{ x(l), \, y(l), \, z(l) \}along-pipe  stabilized pressure distribution 

Flow velocity distribution along the pipe

LaTeX Math Inline
body

p

\theta (l)

Pipe cross-section area LaTeX Math Inlinebodyq


LaTeX Math Inline
body

Aalong-pipe stabilized flowrate distribution 

--uriencoded--%7B\bf r%7D(l)

Along-pipe temperature profile 


LaTeX Math Inline
bodyT(l)

along

Along-pipe

stabiliszed average flow velocity distribution

 temperature profile 



LaTeX Math Inline
body

u(l) 

\rho(T, p)



LaTeX Math Inline
body\

rho

mu(T, p)

and fluid


LaTeX Math Inline
body

\mu(T, p)Inner pipe wall roughness

A

Pipe cross-section area  

LaTeX Math Inline
body\epsilon

Inner pipe wall roughness



Assumptions

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