Coupled convective and morphological instability of the inner core boundary of the Earth / Alexandrov D. V.,Malygin A. P. // PHYSICS OF THE EARTH AND PLANETARY INTERIORS. - 2011. - V. 189, l. 3-4. - P. 134-141.

ISSN/EISSN:

0031-9201 / нет данных

Type:

Article

Abstract:

Taking into account the convective heat and mass transfer in the liquid phase, we develop the linear theory of morphological instability of the solid-liquid interface under solidification conditions typical for the inner core. The generalized stability criterion obtained includes analytic results of the recent theories {[}Shimizu, H., Poirier, J.P., Le Mouel, J.L, 2005. Phys. Earth Planet. Int. 151, 37-51; Deguen, R., Alboussiere, T., Brito, D., 2007. Phys. Earth Planet. Int. 164, 36-49], where the role of convection on stability was only partially studied. The generalized criterion shows that both regimes of stable and unstable solidification are quite plausible if the growth rate of the inner core is episodic and variable. This stability criterion and the criterion of constitutional supercooling demonstrate that there are two possible solidification scenarios: ``constitutional supercooling and morphological stability{''} and ``constitutional supercooling and morphological instability{''}. These crystallization regimes are described by means of the slurry and mushy layer theories. Two models of solidification in the presence of convective motions near the inner core boundary with the slurry and mushy layers are considered. New analytical solutions of these nonlinear models with two moving boundaries of the phase transition domain in the steady-state crystallization regime are found. (C) 2011 Elsevier B.V. All rights reserved.

Author keywords:

Inner core boundary; Morphological instability; Constitutional supercooling; Mushy layer; Slurry layer; Nucleation MUSHY LAYER; NONLINEAR DYNAMICS; OUTER CORE; 2-PHASE ZONE; SOLIDIFICATION; ALLOY; MODEL; CRYSTALLIZATION; IRON; FLOW

DOI:

10.1016/j.pepi.2011.08.004

Web of Science ID:

ISI:000299139900002

Соавторы в МНС:

Другие поля

Поле	Значение
Month	DEC
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
Keywords-Plus	MUSHY LAYER; NONLINEAR DYNAMICS; OUTER CORE; 2-PHASE ZONE; SOLIDIFICATION; ALLOY; MODEL; CRYSTALLIZATION; IRON; FLOW
Research-Areas	Geochemistry \& Geophysics
Web-of-Science-Categories	Geochemistry \& Geophysics
Author-Email	Dmitri.Alexandrov@usu.ru
ResearcherID-Numbers	Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers	Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement	Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''}; Russian Foundation for Basic Research {[}11-01-00137]
Funding-Text	We are grateful for partial support from the Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''} in 2009-2013 and the Russian Foundation for Basic Research (Project No. 11-01-00137).
Number-of-Cited-References	47
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	6
Journal-ISO	Phys. Earth Planet. Inter.
Doc-Delivery-Number	876XA