changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Jun 13, 2020
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j_m = j_m[p(l)] =\rightarrow p_s + \rho_s \, g \, \Delta z(l) - \frac{\rho_s \, q_s^2 }{2 A^2 d} \, f_s \, l= p(l)
\frac{dp}{dl} = \rho_s \, g \cos \theta(l) - \frac{\rho_s \, q_s^2 }{2 A^2 d} \, f_s
j_m = \rho_ssqrt{ 2 \cdot \sqrtfrac{g \, \frac{2 \, d}{f_s \, l }} \cdot \sqrt{g \, \Delta z(l) + (p_s - p)/ \rho_s}Delta z + \int_p^{p_0} \frac{dp}{\rho} } { \frac{1}{\rho^2} - \frac{1}{\rho_0^2} + \left \frac{1}{\rho^2} + \frac{1}{\rho_0^2} \right) \cdot \frac{f \cdot l}{2 \, d}} }
\dot m = j_m \cdot A = \rho_s \cdot A \cdot \sqrt{\frac{2 \, d}{f_s \, l }} \cdot \sqrt{g \, \Delta z(l) + (p_s - p)/ \rho_s}
Volumetric Flowrate
Intake Fluid velocity
q_s = \dot m / \rho_s = A \cdot \sqrt{\frac{2 \, d }{ f_s \, l }} \cdot \sqrt{ g \, \Delta z(l) + (p_s - p)/ \rho_s }
u_s = j_m/ \rho_s =q_s / A = \sqrt{\frac{2 \, d }{ f_s \, l }} \cdot \sqrt{ g \, \Delta z(l) + (p_s - p)/ \rho_s }
