Colebrook-White Equation - Revision history

Joceil.infante at 01:57, 12 September 2017

2017-09-12T01:57:50Z

Joceil.infante at 09:02, 8 September 2017

2017-09-08T09:02:17Z

Joceil.infante: 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..."

2017-09-08T07:59:17Z

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..."

New page

[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, <math>\Delta h_F</math>, due to wall friction in a length of pipe between points 1 and 2 in a system is given by:
<math>\Delta h_F = i_FL_p</math> <br clear = all>

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 " =(u^2/(8gd_1 )) {log_10⁡[k_p/(3710d_1 )+1.775"v" /√(gi_"F" d_i^( 3) )] }^(-2)

NOTE: An iterative method of solution is required to find the head loss gradient, i_"F " , from equation because this quantity also appears on the right-hand side of the equation.

@@ Line 1: / Line 1: @@
-[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.
+* 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, <math>\Delta h_F</math>, due to wall friction in a length of pipe between points 1 and 2 in a system is given by:
+* The loss of energy head, <math>\Delta h_F</math>, due to wall friction in a length of pipe between points 1 and 2 in a system is given by:
   <math>\Delta h_F = i_FL_p</math> <br clear = all>
 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} ) { \Big\{ {log_{10}} [ \frac{k_p}{371d_1} + \frac{1.775v} {\sqrt{gi_F d_i}^3} ]}^{-2}</math>
+  <math>i_F = ( \frac{u^2}{8gd_1} ) { \Big\{ {log_{10}} [ \frac{k_p}{3710d_1} + \frac{1.775v} {\sqrt{(gi_F {d_i}^3})} ]} \Big\}^{-2}</math>
-  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.
+  NOTE: An iterative method of solution is required to find the head loss gradient, <math>i_F</math>, from equation above because this quantity also appears on the right-hand side of the equation.