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LaTeX Math Inline
body\dot m = 0, \, q_0 = 0
 (no flow)


LaTeX Math Block
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p(L) = \frac{-1 + (1+c^* \, p_0) \cdot \exp(c^*  \rho^*  G \, L)}{c^*}   


 Inclined pipes


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\dot m = A \cdot \sqrt{2 \, \rho^* (p_0 - p)} \cdot \sqrt{ \frac{1 + 0.5 c^* (p_0 +p)}{2 * \ln \frac{1+c^*p_0}{1 + c^* p} + \frac{f \, L}{d}}}


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\rho = \rho_0 \, \exp (c^* \rho^* \, G \, L) \cdot \sqrt{ 1 - \frac{f}{2d} \cdot \frac{j_m^2}{G \, \rho_0^2} \cdot ( 1 - \exp(-2 \, c^* \rho^* \, G \, L))}


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p(L) = \frac{1}{c^*} \cdot \left[ 
-1 + (1+c^* p_0) \cdot \exp (c^* \rho^* \, G \, L) \cdot \sqrt{  1 - \frac{f}{2d}  \cdot \frac{j_m^2}{G \rho_0^2} \cdot \big(1 - \exp (-2 \, c^* \rho^* \, G \, L) \big) }
\right]


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