changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Jun 15, 2020
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F(p, l)= \int_{p_0}^p \frac{dp}{\rho} -g \, \Delta z(l) + 0.5 \cdot j_m^2 \cdot \left[ \left( \frac{1}{\rho^2} - \frac{1}{\rho_0^2} \right) + \left( \frac{f}{\rho^2} + \frac{f_0}{\rho_0^2} \right) \cdot \frac{l}{ 2 \, d} \right] + \int_{p_0}^p \frac{dp}{\rho} -g \, \Delta z(l) = 0
F(p, l)=\left( \frac{1}{\rho^2} - \frac{1}{\rho_0^2} \right) + \left( \frac{f}{\rho^2} + \frac{f_0}{\rho_0^2} \right) \cdot \frac{l}{ 2 \, d} - (2/j_m^2) \, \int_p^{p_0} \frac{dp}{\rho} - (2/j_m^2) \, g \, \Delta z(l) = 0
j_m = \sqrt{ 2 } \cdot \left[ g \, \Delta z + \int_p^{p_0} \frac{dp}{\rho} \right]^{0.5} \left[ \left( \frac{1}{\rho^2} - \frac{1}{\rho_0^2} \right) + \left( \frac{f}{\rho^2} + \frac{f_0}{\rho_0^2} \right) \cdot \frac{l}{ 2 \, d} \right]^{-0.5}
\dot m = A \sqrt{ 2 } \cdot \left[ g \, \Delta z + \int_p^{p_0} \frac{dp}{\rho} \right]^{0.5} \left[ \left( \frac{1}{\rho^2} - \frac{1}{\rho_0^2} \right) + \left( \frac{f}{\rho^2} + \frac{f_0}{\rho_0^2} \right) \cdot \frac{l}{ 2 \, d} \right]^{-0.5}
Intake Volumetric Flowrate
q_0 = \frac{A \sqrt{ 2 }}{\rho_0} \cdot \left[ g \, \Delta z + \int_p^{p_0} \frac{dp}{\rho} \right]^{0.5} \left[ \left( \frac{1}{\rho^2} - \frac{1}{\rho_0^2} \right) + \left( \frac{f}{\rho^2} + \frac{f_0}{\rho_0^2} \right) \cdot \frac{l}{ 2 \, d} \right]^{-0.5}