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

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001pepi..123...15d&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 123, Issue 1, p. 15-26.

Physics

2

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) 481-494], 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.

Affiliated with

Also associated with

No associations

Rating

Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instability of Ekman-Hartmann boundary layers, with application to the fluid flow near the core-mantle boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1093675