Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary

Details Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001pepi..124..283d&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 124, Issue 3-4, p. 283-294.

Physics

6

Scientific paper

Our aim is to investigate the instability of mixed Ekman-Hartmann boundary layers arising in rotating incompressible magnetohydrodynamics flows in a parameter regime relevant to the Earth liquid core. We perform a local study in a half space at a given co-latitude /θ≠π/2, and assume a mean dipolar axial magnetic field with internal sources. Instabilities are driven, for high enough Reynolds number, by the quadratic term in the momentum equation. Following the work of Lilly [J. Atmos. Sci. 23 (1966) 481], we restrict our analysis to the linearized growth phase. We describe the dependence of the critical Reynolds number in terms of θ and Elsasser number (measuring the relative strength of Lorentz and Coriolis terms). It is found that no matter how large the Elsasser number is, there exists a critical band centered on the equator in which instabilities can occur. For geophysically relevant values of parameters, this band extends over some 45° away from the equator. This study establishes the possibility of boundary layer instabilities near the core-mantle boundary.

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