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It can also be written in the following form:

Pressure profile along the pipe

LaTeX Math Block

anchor	PressureProfile
alignment	left

F(p, l)= \int_{p_0}^p \frac{dp}{\rho} -g \, \Delta z(l)
+ 0.5 \cdot j_m^2 \cdot

\left[


\left(  \frac{

f

1}{\rho^2}

+

- \frac{

f_0

1}{\rho_0^2}   \right)  
+
\

cdot \

frac{

l}{

2

\, j_m}{d}

+

\left(  \frac{

1

\mu \, \Phi}{\rho^2}

-

+ \frac{

1

\mu_0 \, \Phi_0}{\rho_0^2}

\right)  
\cdot \frac{l}{

\right]

d} 



 = 0

where

LaTeX Math Inline

body	--uriencoded--\Phi = \frac%7B1%7D%7B64%7D \cdot f \cdot %7B\rm Re%7D

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title	Derivation

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