Hydrothermal convection in moderately thin spherical shells
Dai, Zifeng; Zhang, Keke; Liao, X.; et al.Schubert, Gerald
Date: 8 July 2008
Article
Journal
Physical Review Letters
Publisher
American Physical Society
Publisher DOI
Abstract
Hydrothermal convection of pore water with a temperature-dependent viscosity within a permeable, internally heated, moderately thin spherical shell is investigated by both a perturbation analysis and a direct numerical simulation. The analysis and simulation are mainly focused on a thin spherical shell in that convective instabilities ...
Hydrothermal convection of pore water with a temperature-dependent viscosity within a permeable, internally heated, moderately thin spherical shell is investigated by both a perturbation analysis and a direct numerical simulation. The analysis and simulation are mainly focused on a thin spherical shell in that convective instabilities are characterized by the spherical harmonic degree l=6 with a 13-fold mathematical degeneracy. Four different three-dimensional analytical solutions of convection are derived by removing the degeneracy through the nonlinear effect. A direct numerical simulation of the nonlinear problem is also carried out, showing satisfactory agreement between the analytical solutions and the numerical simulations.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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