Weakly nonlinear analysis of rotating magnetoconvection with anisotropic 
diffusivities in earth’s core near the onset of oscillatory instability

Yadagiri, Rameshwar; Rani, Hari Ponnamma; Nayak, Krishnendu; Jozef, Brestensky

doi:10.57757/IUGG23-2176

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Weakly nonlinear analysis of rotating magnetoconvection with anisotropic diffusivities in earth’s core near the onset of oscillatory instability

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Yadagiri, Rameshwar
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Rani, Hari Ponnamma
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Nayak, Krishnendu
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

Jozef, Brestensky
IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations;

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Citation

Yadagiri, R., Rani, H. P., Nayak, K., Jozef, B. (2023): Weakly nonlinear analysis of rotating magnetoconvection with anisotropic diffusivities in earth’s core near the onset of oscillatory instability, XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG) (Berlin 2023).
https://doi.org/10.57757/IUGG23-2176

Cite as: https://gfzpublic.gfz-potsdam.de/pubman/item/item_5018630

Abstract

The influence of anisotropic diffusive coefficients on the stability of the horizontal fluid planar layer, rotating about vertical axis, and permeated by a horizontal homogeneous magnetic field is studied. The linear stability analysis is performed using the separable solutions in the form of horizontal rolls. The onset of overstable motions is examined [1] as well as of stationary ones. The weakly nonlinear behaviour of the convective motions in the vicinity of primary instability threshold is studied. The efficiency to transport heat is compared between overstable and stationary modes.    References:  [1] T. Šoltis, J. Brestenský, (2009), Rotating magnetoconvection with anisotropic diffusivities in the Earth’s core, Physics of the Earth and Planetary Interiors, 178, 27-38.