Natural Convection in Wide Spherical Shells

Futterer, Birgit; Brucks, Antje; Hollerbach, Rainer; Egbers, Christoph

doi:10.1002/pamm.200310463

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Natural Convection In Wide Spherical Shells1

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2004

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“…Cold fluid accumulates in a vortex and is dripping of the south pole in distinct pulses. The transition from steady to chaotic behaviour is determined to be a period-doubling bifurcation [5].…”

Section: Natural Convection In Wide Spherical Shellsmentioning

confidence: 99%

Periodical Convective Flow in Spherical Shells

Futterer

Hollerbach

Egbers

2004

Proc Appl Math and Mech

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Natural convection in wide spherical shells of aspect ratio β = 1 changes in fundamental ways, when the Rayleigh number Ra reaches critical values. For low Ra the convection is steady and axisymmetric, but above a critical value it becomes timedependent, with plumes dripping of the 'south pole' periodically. At higher Ra these still two-dimensional convective pulses become irregular in time, the transition occuring with period-doubling bifurcation. Our numerical investigations of the flow show this transition scheme from steady to periodic to chaotic behaviour to be independent for Prandtl numbers P r greater than 100. For decreasing P r down to 6 the steady, axisymmetric basic state is observed up to higher and higher Ra. For β = 1 the onset of periodicity appears at higher Ra, too. Small gap-width reveal a crescent-eddy type flow, wide gap-width reveal a varied kidney-shaped eddy type.

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Section: Natural Convection In Wide Spherical Shellsmentioning

confidence: 99%