On the direction of flow in spherical convection patterns
- 1 November 1993
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 72 (1-4) , 145-159
- https://doi.org/10.1080/03091929308203610
Abstract
The problem of three-dimensional convection in spherical shells is considered in the case of spherically symmetric physical conditions for a Boussinesq fluid. While the question of the preferred patterns of convection has been treated in earlier papers, general rules for the flow direction have not yet been found. The present analysis addresses this problem and presents numerical solutions for convection in a fluid of infinite Prandtl number with octohedral or with dodecahedral symmetry as a function of the Rayleigh number.Keywords
This publication has 8 references indexed in Scilit:
- Three-dimensional thermal convection in a spherical shellJournal of Fluid Mechanics, 1989
- The Instability of Axisymmetric Solutions in Problems with Spherical SymmetrySIAM Journal on Mathematical Analysis, 1989
- On the onset of convection in rotating spherical shellsGeophysical & Astrophysical Fluid Dynamics, 1987
- Three-dimensional convection in spherical shellsGeophysical & Astrophysical Fluid Dynamics, 1986
- Character and stability of axisymmetric thermal convection in spheres and spherical shellsGeophysical & Astrophysical Fluid Dynamics, 1983
- Patterns of convection in spherical shells. Part 2Journal of Fluid Mechanics, 1982
- Patterns of convection in spherical shellsJournal of Fluid Mechanics, 1975
- The stability of finite amplitude cellular convection and its relation to an extremum principleJournal of Fluid Mechanics, 1967