Dynamic characteristics of collapsible tube flow

Satoru Hayashi; Toshiyuki Hayase; Yuji Miura; Ikuro Iimura

doi:10.1299/jsmec.42.689

Dynamic characteristics of collapsible tube flow

Satoru Hayashi, Toshiyuki Hayase, Yuji Miura, Ikuro Iimura

Frontier Research Institute of Interdisciplinary Sciences (FRIS)

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Stability of a Starling resistor type collapsible tube circuit is studied on the basis of one-dimensional distributed parameter model ignoring the effect of flow separation at the collapsed part of the tube. The governing equations are spatially discretized into 201 ordinary differential equations with respect to time. The stability of the circuit is examined by the characteristic equation of linearized governing equations. Transition of the stability with the flow rate is indicated as loci of the eigenvalues. The spatially discretized nonlinear equations are numerically solved by Runge-Kutta scheme and the theoretical amplitudes and frequencies of self-excited oscillations qualitatively agree well with experimental results.

Original language	English
Pages (from-to)	689-696
Number of pages	8
Journal	JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
Volume	42
Issue number	3
DOIs	https://doi.org/10.1299/jsmec.42.689
Publication status	Published - 1999 Sep

Keywords

Characteristic Equation
Collapsible Tube
Numerical Analysis
Root Locus
Self-Excited Oscillation
Stability

ASJC Scopus subject areas

Mechanical Engineering
Industrial and Manufacturing Engineering

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10.1299/jsmec.42.689

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title = "Dynamic characteristics of collapsible tube flow",

abstract = "Stability of a Starling resistor type collapsible tube circuit is studied on the basis of one-dimensional distributed parameter model ignoring the effect of flow separation at the collapsed part of the tube. The governing equations are spatially discretized into 201 ordinary differential equations with respect to time. The stability of the circuit is examined by the characteristic equation of linearized governing equations. Transition of the stability with the flow rate is indicated as loci of the eigenvalues. The spatially discretized nonlinear equations are numerically solved by Runge-Kutta scheme and the theoretical amplitudes and frequencies of self-excited oscillations qualitatively agree well with experimental results.",

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author = "Satoru Hayashi and Toshiyuki Hayase and Yuji Miura and Ikuro Iimura",

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AU - Hayashi, Satoru

AU - Hayase, Toshiyuki

AU - Miura, Yuji

AU - Iimura, Ikuro

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Y1 - 1999/9

N2 - Stability of a Starling resistor type collapsible tube circuit is studied on the basis of one-dimensional distributed parameter model ignoring the effect of flow separation at the collapsed part of the tube. The governing equations are spatially discretized into 201 ordinary differential equations with respect to time. The stability of the circuit is examined by the characteristic equation of linearized governing equations. Transition of the stability with the flow rate is indicated as loci of the eigenvalues. The spatially discretized nonlinear equations are numerically solved by Runge-Kutta scheme and the theoretical amplitudes and frequencies of self-excited oscillations qualitatively agree well with experimental results.

AB - Stability of a Starling resistor type collapsible tube circuit is studied on the basis of one-dimensional distributed parameter model ignoring the effect of flow separation at the collapsed part of the tube. The governing equations are spatially discretized into 201 ordinary differential equations with respect to time. The stability of the circuit is examined by the characteristic equation of linearized governing equations. Transition of the stability with the flow rate is indicated as loci of the eigenvalues. The spatially discretized nonlinear equations are numerically solved by Runge-Kutta scheme and the theoretical amplitudes and frequencies of self-excited oscillations qualitatively agree well with experimental results.

KW - Characteristic Equation

KW - Collapsible Tube

KW - Numerical Analysis

KW - Root Locus

KW - Self-Excited Oscillation

KW - Stability

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JF - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing

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ER -

Dynamic characteristics of collapsible tube flow

Abstract

Keywords

ASJC Scopus subject areas

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