DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE. (6TH REPORT, FOR ARBITRARY CROSS-SECTIONS).

Takahiko Tanahashi, Tatsuo Sawada, Kazuyuki Shizawa, Tsuneyo Ando

Research output: Contribution to journalArticle

Abstract

Although much progress has already been made in solving problems in step reponses 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-sections. (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.

Original languageEnglish
Pages (from-to)2313-2320
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume51
Issue number467
Publication statusPublished - 1985 Jul
Externally publishedYes

Fingerprint

Step response
Wave equations
Pipe
histories
cross sections
wave equations
Damping
Laplace transformation
problem solving
elastic waves
damping
Experiments
coefficients

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{fa766395b61d42ddaed78e683ccf5f44,
title = "DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE. (6TH REPORT, FOR ARBITRARY CROSS-SECTIONS).",
abstract = "Although much progress has already been made in solving problems in step reponses 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-sections. (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.",
author = "Takahiko Tanahashi and Tatsuo Sawada and Kazuyuki Shizawa and Tsuneyo Ando",
year = "1985",
month = "7",
language = "English",
volume = "51",
pages = "2313--2320",
journal = "Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B",
issn = "0387-5016",
publisher = "Japan Society of Mechanical Engineers",
number = "467",

}

TY - JOUR

T1 - DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE. (6TH REPORT, FOR ARBITRARY CROSS-SECTIONS).

AU - Tanahashi, Takahiko

AU - Sawada, Tatsuo

AU - Shizawa, Kazuyuki

AU - Ando, Tsuneyo

PY - 1985/7

Y1 - 1985/7

N2 - Although much progress has already been made in solving problems in step reponses 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-sections. (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.

AB - Although much progress has already been made in solving problems in step reponses 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-sections. (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.

UR - http://www.scopus.com/inward/record.url?scp=0022096722&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022096722&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 2313

EP - 2320

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 467

ER -