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Название: Mathematical modeling of solidification process near the inner core boundary of the Earth
Авторы: Alexandrov, D. V.
Malygin, A. P.
Дата публикации: 2013
Библиографическое описание: Alexandrov D. V. Mathematical modeling of solidification process near the inner core boundary of the Earth / D. V. Alexandrov, A. P. Malygin // Applied Mathematical Modelling. — 2013. — Vol. 37. — № 22. — P. 9368-9378.
Аннотация: Radially symmetric analytic solutions of the heat and mass transfer equations governing convection in the Earth's fluid core are found in terms of deviations from the adiabatic reference state. We demonstrate that an increase of the convective velocity leads to a decrease of the light constituent mass fraction and specific entropy. Where fluid is rising/descending, convective motions decrease/increase the mass fraction and entropy at the inner core boundary (ICB). The influence of convective motions on the thermal fluxes at the core mantle boundary is studied. On the basis of exact solutions we demonstrate that the liquid is supercooled near the ICB. An important point is that an increase in the convective velocity directed to the ICB increases the constitutional supercooling. We show that the anelastic model (AM) can be used only at small supercoolings near the ICB. The most probable solidification scenario "constitutional supercooling and morphological instability" should be described by a mushy layer theory near the ICB and by the AM in the rest region of the fluid outer core. On the basis of dendritic theory and selection mechanisms of crystal growth the dendrite tip radius and interdendritic spacing in the mushy layer at the ICB are determined in the presence of convection. © 2013 Elsevier Inc.
Ключевые слова: DENDRITES
INNER CORE BOUNDARY
MATHEMATICAL MODELING
MUSHY LAYER
SOLIDIFICATION
CONSTITUTIONAL SUPERCOOLING
CONVECTIVE VELOCITY
CORE-MANTLE BOUNDARY
HEAT AND MASS TRANSFER
INNER CORE BOUNDARY
MORPHOLOGICAL INSTABILITY
MUSHY LAYER
SOLIDIFICATION PROCESS
DENDRITES (METALLOGRAPHY)
ENTROPY
MATHEMATICAL MODELS
SOLIDIFICATION
SUPERCOOLING
URI: http://elar.urfu.ru/handle/10995/27221
Идентификатор SCOPUS: 84885421727
Идентификатор WOS: 000328522500021
Идентификатор PURE: 844299
ISSN: 0307-904X
DOI: 10.1016/j.apm.2013.04.032
Располагается в коллекциях:Научные публикации, проиндексированные в SCOPUS и WoS CC

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