To the theory of underwater ice evolution, or nonlinear dynamics of "false bottoms" / Alexandrov D.V., Nizovtseva I.G. // International Journal of Heat and Mass Transfer. - 2008. - V. 51, l. 21-22. - P. 5204-5208.

ISSN:
00179310
Type:
Article
Abstract:
We present a mathematical model describing evolution of false bottoms often met between an under-ice melt pond and the underlying ocean during summer. The model treats a false bottom as the region of mixed phase (mushy layer) whose coordinates depend on time and determine the phase transition area. As the heat and the salt fluxes in the ocean are strongly influenced by turbulence and the ice meltwater accumulating underneath the ice cover is practically fresh, we use modified boundary conditions for heat and mass fluxes at the interfaces of phase transition. Explicit analytical solutions (thickness of false bottom and growth rates of its boundaries, temperature and salinity distributions, solid phase fraction and ocean-to-ice heat flux) of the nonlinear model under consideration are found. Model predictions are in good agreement with existing experimental data and physical concepts of phenomena under study. © 2008 Elsevier Ltd. All rights reserved.
Author keywords:
False bottom; Heat fluxes; Melt pond; Mushy layer; Sea ice
Index keywords:
Arsenic compounds; Boundary conditions; Boundary value problems; Dynamics; Fluxes; Heat flux; Ice; False bottom; Heat fluxes; Melt pond; Mushy layer; Sea ice; Phase interfaces
DOI:
10.1016/j.ijheatmasstransfer.2
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-51349099818&doi=10.1016%2fj.ijheatmasstransfer.2007.11.061&partnerID=40&md5=24fa989b49892c527b6c1b206824d074
Соавторы в МНС:
Другие поля
Поле Значение
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-51349099818&doi=10.1016%2fj.ijheatmasstransfer.2007.11.061&partnerID=40&md5=24fa989b49892c527b6c1b206824d074
Affiliations Urals State University, Department of Mathematical Physics, Lenin Avenue 51, Ekaterinburg, 620083, Russian Federation
Author Keywords False bottom; Heat fluxes; Melt pond; Mushy layer; Sea ice
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Correspondence Address Alexandrov, D.V.; Urals State University, Department of Mathematical Physics, Lenin Avenue 51, Ekaterinburg, 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
CODEN IJHMA
Language of Original Document English
Abbreviated Source Title Int. J. Heat Mass Transf.
Source Scopus