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LaTeX Math Inline
body--uriencoded--\displaystyle j_m =\frac%7B \rho_0 \, q_0%7D%7BA%7D= \rm const

mass flux

LaTeX Math Inline
bodyq_0 = q(l=0)

Fluid flowrate at inlet point (

LaTeX Math Inline
bodyl=0
)

LaTeX Math Inline
body\rho_0 = \rho(T_0, p_0)

Fluid density at inlet point (

LaTeX Math Inline
bodyl=0
)

LaTeX Math Inline
body\rho(l) = \rho(T(l), p(l))

Fluid density at any point 

LaTeX Math Inline
bodyl

LaTeX Math Inline
body--uriencoded--\displaystyle с(p) = \frac%7B1%7D%7B\rho%7D \left( \frac%7B\partial \rho%7D%7B\partial p%7D \right)_T

Fluid Compressibility

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

Darcy friction factor

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

Reynolds number in Pipe Flow

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

Characteristic linear dimension of the pipe

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

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