Solidification of leads: Approximate solutions of non-linear problem / Alexandrov D.V., Malygin A.P., Alexandrova I.V. // Annals of Glaciology. - 2006. - V. 44, l. . - P. 118-122.

ISSN:

02603055

Type:

Conference Paper

Abstract:

We present new analytical results relating to the growth and evolution of sea ice. It is noteworthy that thin sea ice plays a central role in the surface heat and mass balance of the Arctic Ocean. In order to describe these balances, we analyze highly resolved temperature data taken through the air/sea/ice interface during the transition from an ice-free to an ice-covered Arctic Ocean surface. Our detailed analysis of the field data is based on the classical model of a mushy layer, which is modified in order to obtain analytical solutions in explicit form (so, for example, ice thickness and growth rate, temperature distributions, conductive and latent heat fluxes are determined). Furthermore, we find that the sea-ice growth is not simply a square-root function of time. It depends on the temperature variations in the atmosphere and lies between two square-root functions of time for the maximum and minimum temperatures found during observations. The theory under consideration is in good agreement with observations.

Author keywords:

Index keywords:

atmosphere-ice-ocean system; formation mechanism; ice thickness; latent heat flux; mass balance; sea ice; Arctic Ocean

DOI:

10.3189/172756406781811213

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-34249081399&doi=10.3189%2f172756406781811213&partnerID=40&md5=f5d59d40f2af19549f63a6b85223faa2

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Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-34249081399&doi=10.3189%2f172756406781811213&partnerID=40&md5=f5d59d40f2af19549f63a6b85223faa2
Affiliations	Department of Mathematical Physics, Urals State University, 51 Lenin Avenue, 620083 Ekaterinburg, Russian Federation
References	Badgley, F.J., Heat budget at the surface of the Arctic Ocean (1966) ed. Proceedings of Symposium on the Arctic Heat Budget and Atmospheric Circulation, pp. 267-277. , Fletcher, J.O, Santa Monica, CA, Rand Corporation; Buyevich, Y.A., Alexandrov, D.V., (2005) Heat transfer of dispersions, , New York, Begell House Inc; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of crystallization, , New York, Begell House Inc; Flemings, M.C., (1974) Solidification processing, , New York, McGraw-Hill Book Company; Kerr, R.C., Woods, A.W., Worster, M.G., Hubbert, H.E., Solidification of an alloy cooled from above. Part 1. Equilibrium growth (1990) J. Fluid Mech, 216, pp. 323-342; The LeadEx experiment (1993) EOS Trans. AGU, 74 (35), pp. 396-397. , The LeadEx Group, 393; Scheil, E., Bemerkungen zur Schichtkristallbildung (1942) Z. Mettallkd, 34 (3), pp. 70-72; Weeks, W.F. 1994. Growth conditions and the structure and properties of sea ice. In Leppäranta, M., ed. Physics of ice-covered seas. Helsinki, Helsinki University Printing House, 25-104; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Solidification of leads: Theory, experiment, and field observations (2000) J. Geophys. Res, 105 (C1), pp. 1123-1134; Worster, M.G., Solidification of an alloy from a cooled boundary (1986) J. Fluid Mech, 167, pp. 481-501
Correspondence Address	Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, 51 Lenin Avenue, 620083 Ekaterinburg, Russian Federation; email: dmitri.alexandrov@usu.ru
Language of Original Document	English
Abbreviated Source Title	Ann. Glaciol.
Source	Scopus