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Incompressible fluid with constant friction


Pressure profilePressure gradient profile


LaTeX Math Block
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p(l) = p_s + \rho \, g \, z(l) - \frac{\rho_s \, q_s^2 }{2 A^2 d} \, f_s \, l

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 LaTeX Math Block
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\frac{dp}{dl} = \rho \, g \sin \theta(l) - \frac{\rho_s \, q_s^2 }{2 A^2 d} \, f_s 

where

 LaTeX Math Block
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\sin \theta(l) = \frac{dz(l)}{dl}


trajectory deviation
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