Flow Pattern and Frictional Losses in Pulsating Pipe Flow : Part 3, General Representation of Turbulent Flow Pattern

Abstract

The characteristic parameters Φt, n, Φz, n, αt, n, and αz, n describing the flow pattern in a pulsating turbulent pipe flow are introduced as functions ofω'/Re3/4ta from quasi-steady analysis, where ω' is the dimensionless frequency, Re ta the time-averaged Reynolds number and the validity of these parameters is confirmed experimentally. In the range of time-averaged Reynolds numbers larger than 1×105, where Blasius' 1/4 power frictional law is not valid, ω'/(λs Re ta). Then λs is calculated from another friction law. The values of ω'/Re3/4ta corresponding to the limits between quasi-steady, intermediate, and inertia dominant regions are also proposed.