### Abstract

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 language | English |
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Pages (from-to) | 2313-2320 |

Number of pages | 8 |

Journal | Transactions of the Japan Society of Mechanical Engineers Series B |

Volume | 51 |

Issue number | 467 |

DOIs | |

Publication status | Published - 1985 Jan 1 |

Externally published | Yes |

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### Keywords

- 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

### Cite this

*Transactions of the Japan Society of Mechanical Engineers Series B*,

*51*(467), 2313-2320. https://doi.org/10.1299/kikaib.51.2313