Research on Wave Phenomena in Hydraulic Lines : 2nd Report, Unsteady Liquid Flow in a Tapered Pipe

Abstract

The basic equations for unsteady inviscid liquid flow through a linear-tapered tube are solved with the aid of the Laplace transform. Example computations reveal the remarkable effects of taper on wave propagation and the limit of the conventional step line approach to frequency analysis. The procedure to numerically calculate the Laplace-transformed wave equations with S=ζω can predict the frequency characteristics of viscous liquid tapered lines. A frequency response test on a linear-tapered line filled with oil is carried out; good agreement is obtained between experimental and numerical results. Transient waves are also observed in the same line and compared with the results calculated from Zielke's method of characteristics.