GLOSSARY

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LaTeX Math Block
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  \frac{dp}{dl} = \left(   \frac{dp}{dl} \right)_G +  \left(   \frac{dp}{dl} \right)_K  +  \left(   \frac{dp}{dl} \right)_f
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\left( \rho(p) -  j_m^2 \cdot c(p)   \right) \cdot  \frac{dp}{dl} = \rho^2(p) \, g \, \cos \theta(l)  - \frac{ j_m^2 }{2 d} \cdot  f(p)


where

LaTeX Math Inline
body--uriencoded--\displaystyle \left( \frac%7Bdp%7D%7Bdl%7D \right)_G = \rho \cdot g \cdot \cos \theta


"gravity losses " which represent  pressure losses for upward flow and pressure gain for downward flow

LaTeX Math Inline
body--uriencoded--\displaystyle \left( \frac%7Bdp%7D%7Bdl%7D \right)_K = u%5e2 \cdot \frac%7Bd \rho%7D%7Bdl%7D


kinematic losses, which grow contribution at high velocities 

LaTeX Math Inline
bodyu = j_m / \rho
 and high fluid compressibility (like turbulent gas flow)

LaTeX Math Inline
body--uriencoded--\displaystyle \left( \frac%7Bdp%7D%7Bdl%7D \right)_f = - j_m%5e2 \cdot \frac%7Bf%7D%7B2 d%7D


friction losses which are always negative along the flow direction

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