| Intake mass flux |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle \dot m = \frac%7Bdm %7D%7B dt%7D |
|---|
|
| mass flowrate |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle q_s = \frac%7BdV_s%7D%7Bdt%7D = \dot m / \rho_s |
|---|
|
| Intake flowrate |
| LaTeX Math Inline |
|---|
| body | u_s = u(l=0) = q_s / A = j_m / \rho_s |
|---|
|
| Intake Fluid velocity |
| LaTeX Math Inline |
|---|
| body | \Delta z(l) = z(l)-z(0) |
|---|
|
| elevation drop along pipe trajectory |
| LaTeX Math Inline |
|---|
| body | --uriencoded--f_s = f(%7B\rm Re%7D_s, \, \epsilon) |
|---|
|
| Darcy friction factor at intake point |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle %7B\rm Re%7D_s = \frac%7Bu(l) \cdot d%7D%7B\nu(l)%7D = \frac%7B4 \rho_s q_s%7D%7B\pi d%7D \frac%7B1%7D%7B\mu_s%7D |
|---|
|
| Reynolds number at intake point |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle d = \sqrt%7B \frac%7B4 A%7D%7B\pi%7D%7D |
|---|
|
| characteristic linear dimension of the pipe (or exactly a pipe diameter in case of a circular pipe) |
