GLOSSARY

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InputsOutputs

LaTeX Math Inline
bodyp_0

Intake pressure 

LaTeX Math Inline
bodyp(l)

Pressure distribution along the pipe

LaTeX Math Inline
bodyq_0

Intake flowrate 

LaTeX Math Inline
bodyu(l)

Flow velocity distribution along the pipe

LaTeX Math Inline
body\theta (l)

Pipeline trajectory inclination 



LaTeX Math Inline
body--uriencoded--%7B\bf r%7D(l)

Pipeline trajectory



LaTeX Math Inline
bodyT(l)

Along-pipe temperature profile 



LaTeX Math Inline
body\rho(T, p)

Fluid density 



LaTeX Math Inline
body\numu(T, p)

Fluid kinematic viscosity 



LaTeX Math Inline
bodyA

Pipe cross-section area  

LaTeX Math Inline
body\epsilon

Inner pipe wall roughness



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LaTeX Math Inline
body--uriencoded--f(%7B\rm Re%7D, \, \epsilon)

Darcy friction factor

LaTeX Math Inline
body--uriencoded--\displaystyle %7B\rm Re%7D = \frac%7Bu(l) \cdot d%7D%7B\nu(l)%7D = \frac%7B\rho_0 q_0 d%7D%7BA \cdot \mu(T, p)%7D

Reynolds number

LaTeX Math Inline
body--uriencoded--\displaystyle d = \sqrt%7B \frac%7B4 A%7D%7B\pi%7D%7D

characteristic linear dimension of the pipe

(or exactly a pipe diameter in case of a circular pipe)

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