Patterns in rotating Rayleigh–Bénard convection at high rotation rates
| العنوان: | Patterns in rotating Rayleigh–Bénard convection at high rotation rates |
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| المؤلفون: | T. Kimmel, P. L. Mutyaba, Janet D. Scheel |
| المصدر: | Journal of Fluid Mechanics. 659:24-42 |
| بيانات النشر: | Cambridge University Press (CUP), 2010. |
| سنة النشر: | 2010 |
| مصطلحات موضوعية: | Centrifugal force, Convection, Physics, Computer Science::Information Retrieval, Mechanical Engineering, Prandtl number, Mechanics, Condensed Matter Physics, Rotation, Instability, symbols.namesake, Amplitude, Classical mechanics, Mechanics of Materials, symbols, Rayleigh–Bénard convection, Dimensionless quantity |
| الوصف: | We present the results from numerical and theoretical investigations of rotating Rayleigh–Bénard convection for relatively large dimensionless rotation rates, 170 < Ω < 274, and a Prandtl number of 6.4. Unexpected square patterns were found experimentally by Bajaj et al. (Phys. Rev. Lett., vol. 81, 1998, p. 806) in this parameter regime and near threshold for instability in the bulk. These square patterns have not yet been understood theoretically. Sánchez-Álvarez et al. (Phys. Rev. E, vol. 72, 2005, p. 036307) have found square patterns in numerical simulations for similar parameters when only the Coriolis force is included. We performed detailed numerical studies of rotating Rayleigh–Bénard convection for the same parameters as the experiments and simulations. To better understand these patterns, we compared the effects of the Coriolis force as well as the centrifugal force. We also computed the coefficients of the amplitude equation describing one-, two- and three-mode bulk solutions to rotating Rayleigh–Bénard convection. We find that squares are unstable, but we do find stable limit cycles consisting of three coupled oscillating amplitudes, which can superficially resemble squares, since one of the three amplitudes is rather small. |
| تدمد: | 1469-7645 0022-1120 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::3f9385e05c98a8acf446fb4fdeb363fb https://doi.org/10.1017/s0022112010002399 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........3f9385e05c98a8acf446fb4fdeb363fb |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14697645 00221120 |
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