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Incompressible fluid with constant friction


Pressure profilePressure gradient profileFluid velocityFluid rate


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p(l) = p_0 + \rho \, g \, z(l) - \frac{\rho_0 \, q_0^2 }{2 A^2 d} \, f_0 \, l



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\frac{dp}{dl} = \rho \, g \cos \theta(l) - \frac{\rho_0 \, q_0^2 }{2 A^2 d} \, f_0



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u(l) = \frac{q_0}{A(l)}



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q(l) =q_0 = \rm const


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