Effects of downstream system on self-excited oscillations in collapsible tubes.

*(English)*Zbl 1419.76017Summary: During self-excited oscillation, the effects of downstream head, resistance and inertia on the amplitude and frequency of the tube outlet pressure and flow have been studied experimentally. Different sets of resistance and head combinations could be arranged to achieve identical mean pressure-flow condition, but the unsteady pressure and flow waveforms were found to be different. In a conventional experimental set-up, the direct effect of downstream resistance could be inadvertently complicated by the indirect ones, which were caused by the associated variations of mean pressure and flow on the downstream head.

##### MSC:

76-05 | Experimental work for problems pertaining to fluid mechanics |

76Z99 | Biological fluid mechanics |

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\textit{J. W. Wang} et al., Commun. Numer. Methods Eng. 25, No. 5, 429--445 (2009; Zbl 1419.76017)

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##### References:

[1] | Shapiro AH. Physiologic and medical aspects of flow in collapsible tubes. Proceedings of the Sixth Canadian Congress of Applied Mechanics, Vancouver, 1977; 883-906. |

[2] | Hayashi, Numerical simulation of noninvasive blood pressure measurement, Journal of Biomechanical Engineering 128 pp 680– (2006) |

[3] | Fullana, Filling a collapsible tube, Journal of Fluid Mechanics 494 pp 285– (2003) · Zbl 1049.76509 |

[4] | Bertram, Biofluid mechanics of the pulmonary system, Annals of Biomedical Engineering 33 pp 1681– (2005) |

[5] | Kamm, Handbook of Bioengineering pp 23.1– (1987) |

[6] | Kamm, Flow in collapsible tubes: a brief review, ASME Journal of Biomechanical Engineering 111 pp 177– (1989) |

[7] | Grotberg, Pulmonary flow and transport phenomena, Annual Review of Fluid Mechanics 26 pp 529– (1994) · Zbl 0802.76100 |

[8] | Bertram, Biological Fluid Dynamics, Symposia of the Society for Experimental Biology (1995) |

[9] | Luo, A numerical simulation of unsteady flow in a two-dimensional collapsible channel, Journal of Fluid Mechanics 314 pp 191– (1996) · Zbl 0875.76264 |

[10] | Luo, The effects of wall inertia on flow in a two-dimensional collapsible channel, Journal of Fluid Mechanics 363 pp 253– (1998) · Zbl 0924.76023 |

[11] | Pedley, Modelling flow and oscillations in collapsible tubes, Theoretical and Computational Fluid Dynamics 10 pp 277– (1998) · Zbl 0931.74024 |

[12] | Bertram, The flow field downstream of an oscillating collapsed tube, Journal of Biomechanical Engineering 127 pp 39– (2005) |

[13] | Marzo, Three-dimensional collapse and steady flow in thick-walled flexible tubes, Journal of Fluids and Structures 20 pp 817– (2005) |

[14] | Ohba, Self-excited oscillation of flow in collapsible tube IV (laser doppler measurement of local flow field), Technology Reports of Kansai University pp 213– (1989) |

[15] | Bertram, The onset of flow-rate limitation and flow-induced oscillations in collapsible tubes, Journal of Fluids and Structures 22 pp 1029– (2006) |

[16] | Bertram, Laser-doppler measurements of velocities just downstream of a collapsible tube during flow-induced oscillations, Journal of Biomechanical Engineering 123 pp 493– (2001) |

[17] | Conrad, Pressure-flow relationships in collapsible tubes, IEEE Transactions on Biomechanical Engineering 16 pp 284– (1969) |

[18] | Bertram, Mapping of instabilities for flow through collapsed tubes of differing length, Journal of Fluids and Structures 4 pp 125– (1990) |

[19] | Kamm, Bioengineering studies of periodic external compression as prophylaxis against deep vein thrombosis-part I: numerical studies, Journal of Biomechanical Engineering 104 pp 87– (1982) |

[20] | Low, Pressure/flow relationships in collapsible tubes: effect of upstream pressure fluctuation, Medical and Biological Engineering and Computing 29 pp 217– (1991) |

[21] | Low, Pressure/flow behaviour in collapsible tube subjected to forced downstream pressure fluctuations, Medical and Biological Engineering and Computing 33 pp 545– (1995) |

[22] | Bertram, Application of nonlinear dynamics concepts to the analysis of self-excited oscillations of a collapsible tube conveying a fluid, Journal of Fluids and Structures 5 pp 391– (1991) |

[23] | Jensen, Chaotic oscillations in a simple collapsible-tube model, ASME Journal of Biomechanical Engineering 114 pp 55– (1992) |

[24] | Rodbard, Flow through collapsible tubes: augmented flow produced by resistance at the outlet, Circulation XI pp 280– (1955) |

[25] | Lyon, Flow through collapsible tubes at high Reynolds numbers, Circulation Research 49 (4) pp 988– (1981) |

[26] | Cancelli, A separated-flow model for collapsible-tube oscillations, Journal of Fluid Mechanics 157 pp 375– (1985) |

[27] | Bertram, Prediction and measurement of the area-distance profile of collapsed tubes during self-excited oscillation, Journal of Fluids and Structures 8 pp 637– (1994) |

[28] | Jensen, Instabilities of flow in a collapsed tube, Journal of Fluid Mechanics 220 pp 623– (1990) · Zbl 0708.76056 |

[29] | Matsuzaki, Flow in a two-dimensional collapsible channel with rigid inlet and outlet, Journal of Biomechanical Engineering 111 pp 180– (1989) |

[30] | Bertram, A collapsible tube oscillator is not readily enslaved to an external resonator, Journal of Fluids and Structures 6 (2) pp 163– (1992) |

[31] | Shapiro, Steady flow in collapsible tubes, ASME Journal of Biomechanical Engineering 99 pp 126– (1977) |

[32] | Bertram, Oscillations in a collapsed-tube analog of the brachial artery under a sphygmomanometer cuff, ASME Journal of Biomechanical Engineering 111 pp 185– (1989) |

[33] | Kamm, Theory and experiments on smooth transitions through the critical state (S=1) in collapsible tube flow, Advances in Bioengineering 20 (ASME BED) pp 329– (1991) |

[34] | Elad, Steady flow through collapsible tubes: measurements of flow and geometry, Journal of Biomechanical Engineering 114 pp 84– (1992) |

[35] | Wylie, Fluid Transients in Systems pp 291– (1993) |

[36] | Holmes, Optimization of dynamic-pressure-measurement systems. I. Single point measurements, Journal of Wind Engineering and Industrial Aerodynamics 25 pp 249– (1987) |

[37] | Bonis M, Ribreau C. Etude de Quelques proprieties de {\(\Gamma\)}ecoulement Dans Une conduite collabable. La Houille Blanche 3/4, 1978; 165-173. |

[38] | Pedley, The Fluid Mechanics of Large Blood Vessels (1980) · Zbl 0449.76100 |

[39] | Bertram, A mathematical model of unsteady collapsible tube behaviour, Journal of Biomechanics 15 (1) pp 39– (1982) |

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