Tertiary and Quaternary States in the Taylor-Couette System
| Autor: | Friedrich H. Busse, Sotos C. Generalis, Takeshi Akinaga |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
General Mathematics Applied Mathematics Mode (statistics) General Physics and Astronomy Statistical and Nonlinear Physics Mechanics 01 natural sciences Stability (probability) 010305 fluids & plasmas Nonlinear system Bifurcation theory 0103 physical sciences Limit (mathematics) Boundary value problem Twist 010306 general physics Quaternary |
| Zdroj: | Chaos, Solitons & Fractals. 109:107-117 |
| ISSN: | 0960-0779 |
| Popis: | The analysis of the Taylor-Couette problem in the small gap limit is extended to the cases of tertiary and quaternary solutions. The theoretical results are compared with experimental observations. Although in the latter the small-gap approximation is not always well approximated, the comparison of theoretical results and observations yields reasonable agreements. The absence of the wavy twist mode in the observed patterns is explained by the presence of no-slip boundary conditions in the axial direction of the experimental apparatus, which differ from the periodic conditions imposed in the theoretical analysis. Quaternary solutions bifurcating from the tertiary ones through subharmonic instabilities are presented and compared with experimental observations. Reasonable agreement has been found. |
| Databáze: | OpenAIRE |
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