Operations Research, Systems Engineering and Industrial Engineering Commons^™

Impulsive Displacement Of A Liquid In A Pipe At High Reynolds Numbers, Gerald G. Kleinstein

Gerald G. Kleinstein

We consider the problem of an impulsive displacement of a liquid, originally at rest in a circular pipe, which is displaced by another liquid. The purpose of this analysis is to show that at a sufficiently high inertia the initial essentially inviscid motion can be extended to cover the entire displacement process, thus creating an inviscid window to which an inviscid analysis can be applied. We simplify the problem first, by considering a 1-liquid problem where the displacing liquid and displaced liquid are the same. We identify two characteristic times in this problem: the time it takes an inviscid liquid …