...
LaTeX Math Inline |
---|
body | --uriencoded--f(%7B\rm Re%7D, \, \epsilon) |
---|
|
| Darcy friction factor |
LaTeX Math Inline |
---|
body | --uriencoded--\displaystyle %7B\rm Re%7D = \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(T, p)%7D |
---|
|
| Reynolds number |
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) |
Alternative forms
...
LaTeX Math Block |
---|
|
-\frac{1}{c} \frac{d}{dl} \left( \frac{1}{\rho} \right) = g \frac{dz}{dl} - \frac{\rho_s^2 q_s^2}{2A^2} \frac{d}{dl} \left( \frac{1}{\rho^2} \right) - \frac{\rho_s^2 q_s^2}{2A^2} \left( \frac{1}{\rho^2} \right) |
See Derivation of Pressure Profile in Stationary Isothermal Homogenous Pipe Flow @model.
...