Experiments on convection in a rotating hemispherical shell: Transition to chaos

Details Experiments on convection in a rotating hemispherical shell: Transition to chaos Experiments on convection in a rotating hemispherical shell: Transition to chaos

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20.2587c&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 23, p. 2587-2590

Physics

7

Atmospheric Models, Chaos, Convective Heat Transfer, Rotating Spheres, Spherical Shells, Approximation, Broadband, Prandtl Number, Rayleigh Number

Scientific paper

Thermal convection in a self-gravitating rotating fluid shell is modeled using a hemispherical fluid shell that can be rotated about its axis of symmetry. In this apparatus, a tertiary convective state begins to exist at a Rayleigh number approximately equal to 2.1 times the critical value for the onset of convection (R sub C1). This state is characterized by the coexistence of three waves. In this tertiary state noise is always present. At a slightly higher Rayleigh number, a strong interaction was observed to develop. Frequency locking takes place at 2.4 R(sub C1). Later, the flow exhibits chaotic behavior as shown by the broad band Fourier spectra of the temperature records. Planetary implications of these findings are discussed.

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