Motivation
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One of the key challenges in Pipe Flow Dynamics is to predict the pressure distribution along the pipe during the stationary fluid transport.
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Pipeline Flow Pressure Model is addressing this problem with account of the varying pipeline trajectory, gravity effects and fluid friction with pipeline walls.
Outputs
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Assumptions
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Equations
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| \left( 1 - \frac{\rho_s^2 \, q_s^2}{A^2} \cdot \frac{c(p)}{\rho} \right) \frac{dp}{dl} = \rho \, g \, \frac{dz}{dl} - \frac{\rho_s^2 \, q_s^2 }{2 A^2 d} \frac{f({\rm Re}, \, \epsilon)}{\rho} |
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| q(l) = \frac{\rho_s \cdot q_s}{\rho} |
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| u(l) = \frac{\rho_s \cdot q_s}{\rho \cdot A} |
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| p(l=0) = p_s |
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| q(l=0) = q_s |
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| \rho(T_s, p_s) = \rho_s |
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