MAC waves and related instabilities influenced by viscosity in dependence on boundary conditions

Details MAC waves and related instabilities influenced by viscosity in dependence on boundary conditions MAC waves and related instabilities influenced by viscosity in dependence on boundary conditions

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000pepi..122..161s&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 122, Issue 3-4, p. 161-174.

Physics

1

Scientific paper

Marginal instabilities of MAC waves kind running in azimuthal directions are investigated in the rapidly rotating horizontal uniformly stratified fluid layer permeated by the azimuthal magnetic field linearly growing with the distance from vertical rotation axis. More combinations of horizontal perfectly thermally conducting boundaries are studied. They are either both rigid for viscous fluid or only impermeable for inviscid fluid, and either both perfectly electrically conducting or Earthlike ones of distinct finite electrical conductivities of upper and lower boundary. MAC waves and related instabilities in the model are possible only for Roberts number qR≡κ/η=τη/ τκ>=O(1) where τη, τκ are times of ohmic and thermal diffusion, respectively. The sensitivity of the investigated instabilities to viscosity is not typical only for smaller Elsasser numbers /ΛO(1), too. This sensitivity for /Λ=O(1), is apparent only for greater azimuthal wave numbers /m>=O(10). However, the preferred modes are not influenced by viscosity and they are sensitive only to electromagnetic boundary conditions. In finite electrical conductivities cases MC waves develop for Λ>=O(103) and non-zero viscosity in rigid boundaries cases causes complex competition of modes for /Λ>=O(1).

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