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LaTeX Math Block
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\Delta p(L)=- \frac{j_m^2}{\rho_0} \cdot \frac{f_0 \, L}{2 \, d } 


LaTeX Math Inline
bodyf(l)= f_0 = \rm const

LaTeX Math Inline
body\rho(l)=\rho_0= \rm const


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\Delta p (L) =- \frac{\rho_0}{c^*} \cdot  \left[
1 - \sqrt{  1 - j_m^2 \cdot \frac{c^* \rho^*}{\rho_0^2} 
\cdot \frac{f_0 L}{d}}
\right]


LaTeX Math Inline
bodyf(l)= f_0 = \rm const

LaTeX Math Inline
body--uriencoded--\rho(l)=\rho%5e* \cdot (1 + c%5e* \, p)

LaTeX Math Inline
body--uriencoded--c%5e* \, p \ll 1


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\Delta p (L) =- p_0 \cdot \left[ 1- \sqrt{ 

1 - \frac{j_m^2}{\rho_0 \, p_0} \cdot \frac{f_o L}{d} 

} \right] 


LaTeX Math Inline
bodyf(l)= f_0 = \rm const

LaTeX Math Inline
body--uriencoded--\displaystyle \rho(l)= \frac%7B\rho_0%7D%7Bp_0%7D \cdot p



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\Delta p (L) =- \frac{j_m^2}{\rho_0} \cdot \frac{f_0}{2 \, d} \cdot 
\frac{ 1- \exp \left( - c^* \rho^* G \, L \right)}{c^* \rho^* G}



LaTeX Math Inline
bodyf(l)= f_0 = \rm const

LaTeX Math Inline
body--uriencoded--\rho(l)=\rho%5e* rho_0 \cdot \exp (1 + c%5e* \rho%5e* G \, pl)


See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pressure Profile in Homogeneous Quasi-Isothermal Steady-State Pipe Flow @model

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