...
Pressure profile along the pipe | |||||||
---|---|---|---|---|---|---|---|
| |||||||
Mass Flux |
LaTeX Math Block | ||||
---|---|---|---|---|
| ||||
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}
|
LaTeX Math Block | ||||
---|---|---|---|---|
| ||||
\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
LaTeX Math Block | ||||
---|---|---|---|---|
| ||||
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}
|
where
| mass flux | ||||
| mass flowrate | ||||
| Intake volumetric flowrate | ||||
| Intake fluid density | ||||
| elevation drop along pipe trajectory | ||||
| Darcy friction factor | ||||
| Reynolds number | ||||
| characteristic linear dimension of the pipe |
...