### 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 language | English |
---|---|

Pages (from-to) | 2313-2320 |

Number of pages | 8 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 51 |

Issue number | 467 |

Publication status | Published - 1985 Jul |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*,

*51*(467), 2313-2320.

**DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE. (6TH REPORT, FOR ARBITRARY CROSS-SECTIONS).** / Tanahashi, Takahiko; Sawada, Tatsuo; Shizawa, Kazuyuki; Ando, Tsuneyo.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 51, no. 467, pp. 2313-2320.

}

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 -