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 |
|---|---|
| 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
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.
In: Bulletin of the JSME, Vol. 25, No. 208, 10.1982, p. 1521-1528.Research output: Contribution to journal › Article
}
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.
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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 -