### Abstract

A new method of solving a one-dimensional wave equation in linear tapered compound pipes with arbitrary cross-sections has been devised. Results obtained by 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 a wave equation obtained by Laplace transform 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 more rapidly than those in a circular cross-section.

Original language | English |
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Pages (from-to) | 795-801 |

Number of pages | 7 |

Journal | Bulletin of the JSME |

Volume | 29 |

Issue number | 249 |

Publication status | Published - 1986 Mar |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the JSME*,

*29*(249), 795-801.

**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

*Bulletin of the JSME*, vol. 29, no. 249, pp. 795-801.

}

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 - 1986/3

Y1 - 1986/3

N2 - A new method of solving a one-dimensional wave equation in linear tapered compound pipes with arbitrary cross-sections has been devised. Results obtained by 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 a wave equation obtained by Laplace transform 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 more rapidly than those in a circular cross-section.

AB - A new method of solving a one-dimensional wave equation in linear tapered compound pipes with arbitrary cross-sections has been devised. Results obtained by 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 a wave equation obtained by Laplace transform 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 more rapidly than those in a circular cross-section.

UR - http://www.scopus.com/inward/record.url?scp=0022681825&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022681825&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 795

EP - 801

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 249

ER -