Multiple states, stability and bifurcations of natural convection in a rectangular cavity with partially heated vertical walls
العنوان: | Multiple states, stability and bifurcations of natural convection in a rectangular cavity with partially heated vertical walls |
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المؤلفون: | A. Solan, Pinhas Z. Bar-Yoseph, A. Yu. Gelfgat, Eliezer Kit, V. Erenburg |
المصدر: | Journal of Fluid Mechanics. 492:63-89 |
بيانات النشر: | Cambridge University Press (CUP), 2003. |
سنة النشر: | 2003 |
مصطلحات موضوعية: | Nonlinear approximation, Materials science, Natural convection, Mechanics of Materials, Heating element, Mechanical Engineering, Heat transfer, Multiplicity (mathematics), Boundary value problem, Mechanics, Condensed Matter Physics, Bifurcation, Supercritical fluid |
الوصف: | The multiplicity, stability and bifurcations of low-Prandtl-number steady natural convection in a two-dimensional rectangular cavity with partially and symmetrically heated vertical walls are studied numerically. The problem represents a simple model of a set-up in which the height of the heating element is less than the height of the molten zone. The calculations are carried out by the global spectral Galerkin method. Linear stability analysis with respect to two-dimensional perturbations, a weakly nonlinear approximation of slightly supercritical states and the arclength path-continuation technique are implemented. The symmetry-breaking and Hopf bifurcations of the flow are studied for aspect ratio (height/length) varying from 1 to 6 |
تدمد: | 1469-7645 0022-1120 |
DOI: | 10.1017/s0022112003005469 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::26543f10c5c0ceccba25b0a0bcb52365 https://doi.org/10.1017/s0022112003005469 |
رقم الانضمام: | edsair.doi...........26543f10c5c0ceccba25b0a0bcb52365 |
قاعدة البيانات: | OpenAIRE |
تدمد: | 14697645 00221120 |
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DOI: | 10.1017/s0022112003005469 |