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LaTeX Math Inline
bodyl

pipe length 

LaTeX Math Inline
bodyj_m = \dot m \, / A = \rho_0 \, q_0 \, / A

mass flux

LaTeX Math Inline
body \dot m (l) = \dot m = \rm const

mass flowrate 

LaTeX Math Inline
bodyq_0

intake flowrate 

LaTeX Math Inline
body\rho_0

intake fluid density

LaTeX Math Inline
bodyd

pipe diameter

LaTeX Math Inline
body--uriencoded--A = 0.25 \, \pi \, d%5e2

pipe cross-section area

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

Darcy friction factor

LaTeX Math Inline
body\epsilon

inner pipe walls roughness

LaTeX Math Inline
body--uriencoded--\displaystyle %7B\rm Re%7D = \frac%7Bj_m \, d%7D%7B\mu%7D

Reynolds number 

LaTeX Math Inline
body\mu(T, p)

dynamic viscosity as function of fluid temperature 

LaTeX Math Inline
bodyT
 and pressure 
LaTeX Math Inline
bodyp

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