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| Titel: |
Character and stability of axisymmetric thermal convection in spheres and spherical shells |
| Auteur: |
Zebib, Abdelfattah Schubert, Gerald Dein, James L. Paliwal, Ramesh C. |
| Verschenen in: |
Geophysical & astrophysical fluid dynamics |
| Paginering: | Jaargang 23 (1983) nr. 1 pagina's 1-42 |
| Jaar: |
1983-01-01 |
| Inhoud: |
Nonlinear axisymmetric convective motions of self-gravitating, infinite Prandtl number fluids in spheres and thick spherical shells are determined for a variety of shell sizes and for different modes of heating. For one combination of heating from within and from below the onset of convection is governed by a self-adjoint system of equations and boundary conditions. For two other heating modes, heating only from within or only from below, the linearized equations and boundary conditions are not self-adjoint. The properties of the self-adjoint solutions together with a parameter which quantifies the departure from self-adjointness provide a theoretical framework for organizing, understanding, and generalizing the heat transfer characteristics of the non-self-adjoint cases. The variations in heating and shell size that are considered yield 6 different patterns of steady convection—flows with 1 and 3 meridional cells, and pairs of oppositely rotating flows with 2 and 4 meridional cells. The heat transport properties of the different convection patterns and the stability of the flows to general axisymmetric and nonaxisymmetric disturbances are ascertained. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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