### Abstract

Distorted pressure histories in a linear tapered tube equipped with a tank at the end are experimentally investigated by the step pressure input. And also this problem is theoretically solved by two methods, i. e. , eigenfunction expansion and asymptotic expansion. The peak pressure in the tube can be controlled by the capacity of the tank. large capacity leads to an open end situation. The height of the pressure wave is proportional to the inverse of the tube radius. A one dimensional wave equation including the viscous term in the equation of motion and the effect of the variable cross section is simplified by special transformation, and the simplified equation is solved by the method of the Laplace transform. The resultant analytical solution has a clearer representation than Schuder-Binder's solution.

Original language | English |
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Pages (from-to) | 1521-1528 |

Number of pages | 8 |

Journal | Bulletin of the JSME |

Volume | 25 |

Issue number | 208 |

Publication status | Published - 1982 Oct |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the JSME*,

*25*(208), 1521-1528.

**DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE - 5. CASE OF A TANK BEING INSTALLED AT THE END.** / Tanahashi, Takahiko; Yamashita, Yutaka; Sawada, Tatsuo; Ando, Tsuneyo.

Research output: Contribution to journal › Article

*Bulletin of the JSME*, vol. 25, no. 208, pp. 1521-1528.

}

TY - JOUR

T1 - DISTORTED PRESSURE HISTORIES DUE TO THE STEP RESPONSES IN A LINEAR TAPERED PIPE - 5. CASE OF A TANK BEING INSTALLED AT THE END.

AU - Tanahashi, Takahiko

AU - Yamashita, Yutaka

AU - Sawada, Tatsuo

AU - Ando, Tsuneyo

PY - 1982/10

Y1 - 1982/10

N2 - Distorted pressure histories in a linear tapered tube equipped with a tank at the end are experimentally investigated by the step pressure input. And also this problem is theoretically solved by two methods, i. e. , eigenfunction expansion and asymptotic expansion. The peak pressure in the tube can be controlled by the capacity of the tank. large capacity leads to an open end situation. The height of the pressure wave is proportional to the inverse of the tube radius. A one dimensional wave equation including the viscous term in the equation of motion and the effect of the variable cross section is simplified by special transformation, and the simplified equation is solved by the method of the Laplace transform. The resultant analytical solution has a clearer representation than Schuder-Binder's solution.

AB - Distorted pressure histories in a linear tapered tube equipped with a tank at the end are experimentally investigated by the step pressure input. And also this problem is theoretically solved by two methods, i. e. , eigenfunction expansion and asymptotic expansion. The peak pressure in the tube can be controlled by the capacity of the tank. large capacity leads to an open end situation. The height of the pressure wave is proportional to the inverse of the tube radius. A one dimensional wave equation including the viscous term in the equation of motion and the effect of the variable cross section is simplified by special transformation, and the simplified equation is solved by the method of the Laplace transform. The resultant analytical solution has a clearer representation than Schuder-Binder's solution.

UR - http://www.scopus.com/inward/record.url?scp=0020192326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020192326&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0020192326

VL - 25

SP - 1521

EP - 1528

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 208

ER -