Distorted Pressure Histories due to the Step Responses in a Linear Tapered Pipe (6th Report for Arbitrary Cross-Sections)

Although much progress has already been made in solving problems in step responses of pressure in a linear tapered pipe, new developments are still needed before the two dimensional wave equation can be solved routinely. This paper describes one such development. A new method of solving one dimensional wave equation in linear tapered compound pipes with arbitrary cross-sections has been devised. Results which are obtained from this theory are compared with experiments in pipes with square cross-sections. And we obtained the following conclusions (1) Damping coefficients in an arbitrary cross-section are defined and are expressed analytically for some representative cross- (2) The viscous solution of wave equation obtained by Laplace transformation explains well distorted pressure histories in a linear tapered pipe with an arbitrary cross-section. (3) Pressure waves in a square cross-section include higher modes of frequency and damp rapidly more than ones in a circular cross-section. But fundamental characteristics as waves are independent of the cross-secton of the pipe except for the <5ma11 aspect ratio.