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LaTeX Math Block
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f = 64 \, \rm Re^{-1}



LaTeX Math Inline
body\rm Re < 2,100


Laminar fluid flow

нет стабильных корреляций

LaTeX Math Inline
body2,100 < \rm Re < 4,000

Laminar-turbulent transition fluid flow


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f = 0.32 \, \rm Re^{-0.25}



LaTeX Math Inline
body4,000 < \rm Re < 50,000


Turbulent fluid flow


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f = 0.184 \, \rm Re^{-0.2}



LaTeX Math Inline
body\rm Re > 50,000


Strong-turbulent fluid flow

where

LaTeX Math Inline
body{\rm Re}(l) = \frac{d \, v \, \rho}{\mu}

Reynolds number

LaTeX Math Inline
bodyd(l)

Inner diameter of a pipe

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

dynamic fluid viscosity as function

LaTeX Math Inline
body\mu(p, T)
of pressure
LaTeX Math Inline
bodyp(l)
and temperature
LaTeX Math Inline
bodyT(l)
along the pipe

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