About Lesson
Darcy-Weisbach Formula
V= v8gRS/f
In which,
g= acceleration due to gravity
f = Darcy-weisbach roughness coefficient or friction factor, dimensionless
The resistant coefficient can and f in above equation can be related to each other as follows:
C vRS = v8fRS/f
Or, C = v8g/f
Again,
CvRS = (R 2/3 . S ½ )/ n
Or, C vR = R 2/3 / n
Or, C = R 2/3- ½ / n = R 1/6 /n
Hence, v8g/f = R 1/6 /n
So,c/vg = v8/f = vR1/6/nvg [ here , v denotes the square underroot]