Onset of convection in a fluid with anisotropic viscosity and thermal conductivity : implications for the dynamics of the lithosphere and icy satellites

Details Onset of convection in a fluid with anisotropic viscosity and thermal conductivity : implications for the dynamics of the lithosphere and icy satellites Onset of convection in a fluid with anisotropic viscosity and thermal conductivity : implications for the dynamics of the lithosphere and icy satellites

Dec 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufm.p31b1525p&link_type=abstract

American Geophysical Union, Fall Meeting 2010, abstract #P31B-1525

Physics

Geophysics

[3215] Mathematical Geophysics / Instability Analysis, [3902] Mineral Physics / Creep And Deformation, [6218] Planetary Sciences: Solar System Objects / Jovian Satellites, [8147] Tectonophysics / Planetary Interiors

Scientific paper

Observations of seismic anisotropy in the Earth mantle is often related to the crystal preferred orientation of polycrystalline aggregates. In this case, the physical properties depends on the direction and require the use of tensors to be fully described. In particular, the viscosity must be defined as a fourth order tensor whereas the thermal conductivity is a 2nd order tensor. However, the dynamical implications of such physical properties have received little attention until now. In this work, we explore the effect of anisotropic viscosity and anisotropic thermal conductivity on the onset of Rayleigh-Bénard convection. We use a simple mathematical description of viscosity and thermal conductivity to explore quantitatively it's effect on the Rayleigh-Bénard problem, by performing a linear stability analysis. We focus on the hexagonal case that corresponds to a stratified medium and the ice crystal symmetry. We determine the parameters of the onset for different orientations of the hexagonal axis. We show how the critical Rayleigh number, the length scale of the first instability and the associated roll direction quantitatively depend on anisotropy (direction and viscosity components ratio). Implications for the dynamics of lithosphere and icy satellites will be discussed, in particular the effect of anisotropy on the maximal thickness of the conductive ice layer.

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