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 | |
| 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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Cite this
Hayashi, S., Hayase, T., Miura, Y., & Iimura, I. (1999). Dynamic characteristics of collapsible tube flow. JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing, 42(3), 689-696. https://doi.org/10.1299/jsmec.42.689