from experiment, eis density of the liquid in the pipe, µ is the dynamic viscosity of the liquid, V is the average velocity, D is the pipe diameter, L is the length of the pipe, and e is the wall roughness of the pipe walls. Formulating a non-dimensional relationship between various parameters in a flow field from a dimension relationship between the same parameters can reduce the number of experiments needed to express the relationship between the pressure drop and the other parameters.
Fig: 1