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Equations
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| \bigg( 1 - \frac{c(p) \, \rho_0^2 \, q_0^2}{A^2} \bigg ) \frac{dp}{dl} = \rho(p) \, g \, \frac{dz}{dl} - \frac{\rho_0^2 \, q_0^2 }{2 A^2 d} \frac{f( |
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u |
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| u(l) = \frac{\rho_0 \cdot q_0}{\rho(p) \cdot A} |
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| q(l) = \frac{\rho_0 \cdot q_0}{\rho(p)} |
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(see Derivation of Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model )
The friction factor LaTeX Math Inline |
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body | --uriencoded--f = f (%7B\rm Re%7D) = f(u) = f (\rho(p)) |
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Approximations
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Incompressible pipe flow
with constant friction
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