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

Takahiko Tanahashi, Tatsuo Sawada, Kazuyuki Shizawp, Tsuneyo Ando

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)2313-2320
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series B
Issue number467
Publication statusPublished - 1985
Externally publishedYes


  • Arbitrary Cross-Section
  • Compound tube
  • Damping Coefficient
  • Linear Tapered Pipe
  • Pressure Wave
  • Step
  • Unsteady Flow
  • response

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering


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