For a circular pipe flowing full, the head loss (hL) can be computed using the Darcy-Weisb...

For a circular pipe flowing full, the head loss (hL) can be computed using the Darcy-Weisbach equation,

in which f is the dimensionless friction factor that is a function of the Reynolds Number and pipe roughness, L and D are the length and diameter of the pipe, respectively, and V is the velocity of flow. A firm intends to develop a pipe made of a new ceramic material for which f values are not available. Discuss the task in terms of analysis and synthesis.