Degenerate bifurcation in stably stratified plane Poiseuille flow
| العنوان: | Degenerate bifurcation in stably stratified plane Poiseuille flow |
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| المؤلفون: | Kaoru Fujimura, R. E. Kelly |
| المصدر: | Journal of Fluid Mechanics. 331:261-282 |
| بيانات النشر: | Cambridge University Press (CUP), 1997. |
| سنة النشر: | 1997 |
| مصطلحات موضوعية: | Physics, Mechanical Engineering, Prandtl number, Mathematical analysis, Thermodynamics, Saddle-node bifurcation, Condensed Matter Physics, Hagen–Poiseuille equation, Bifurcation diagram, Physics::Fluid Dynamics, symbols.namesake, Transcritical bifurcation, Mechanics of Materials, symbols, Turbulent Prandtl number, Nonlinear Sciences::Pattern Formation and Solitons, Bifurcation, Blue sky catastrophe |
| الوصف: | Bifurcation characteristics of stably stratified plane Poiseuille flow have been investigated on a weakly nonlinear basis. It is found that the results are sensitive to the value of the Prandtl number, in that subcritical bifurcation persists for most values of the Prandtl number but is replaced by supercritical bifurcation over a range of small values of the Prandtl number. This range includes values characteristic of some liquid metals. The bifurcation becomes degenerate at a particular parameter set where the real part of the cubic nonlinear coefficient in the Stuart–Landau equation vanishes at criticality, and the situation is discussed by including higher-order terms in the manner of Eckhaus & Iooss (1989). An exact hyper-degenerate situation is also found to be possible for which the cubic and the quintic nonlinear coefficients lose their real parts simultaneously; this case is also analysed. For large values of the Prandtl number, stable stratification tends to promote subcritical instability. |
| تدمد: | 1469-7645 0022-1120 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::e0db537ecd771a5003270ca412bb0309Test https://doi.org/10.1017/s0022112096003771Test |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........e0db537ecd771a5003270ca412bb0309 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14697645 00221120 |
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