Difference between revisions of "Colebrook-White Equation"
(Created page with "[1] The governing equation used to calculate the expected friction loss factor (f) used in the Darcy-Weisbach Equation. The equation is a function of pipe surface roughness, p...") |
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The frictional head loss gradient, <math>i_F</math>, can be determined from the '''Colebrook-White equation''', which for pipes flowing 100% full of water may be written in the form; | The frictional head loss gradient, <math>i_F</math>, can be determined from the '''Colebrook-White equation''', which for pipes flowing 100% full of water may be written in the form; | ||
| − | <math>i_F = ( \frac{u^2}{8gd_1} ) | + | <math>i_F = ( \frac{u^2}{8gd_1} ) { \Big\{ {log_{10}} [ \frac{k_p}{371d_1} + \frac{1.775v} {\sqrt{gi_F d_i}^3} ]}^{-2}</math> |
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| − | NOTE: An iterative method of solution is required to find the head loss gradient, | + | NOTE: An iterative method of solution is required to find the head loss gradient, <math>i_F</math>, from equation because this quantity also appears on the right-hand side of the equation. |
Revision as of 17:02, 8 September 2017
[1] The governing equation used to calculate the expected friction loss factor (f) used in the Darcy-Weisbach Equation. The equation is a function of pipe surface roughness, pipe diameter, fluid viscosity and fluid velocity.
[2] The loss of energy head, 
, due to wall friction in a length of pipe between points 1 and 2 in a system is given by:
The frictional head loss gradient, 
, can be determined from the Colebrook-White equation, which for pipes flowing 100% full of water may be written in the form;
![i_F = ( \frac{u^2}{8gd_1} ) { \Big\{ {log_{10}} [ \frac{k_p}{371d_1} + \frac{1.775v} {\sqrt{gi_F d_i}^3} ]}^{-2}](/images/math/f/4/c/f4c5e0254673e1b7c0f96348dd30da87.png)
NOTE: An iterative method of solution is required to find the head loss gradient,
