Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/24842
Title: | Fractal structures in freezing brine | Authors: | Alyaev, Sergey Keilegavlen, Eirik Nordbotten, Jan Martin POP, Sorin |
Issue Date: | 2017 | Publisher: | CAMBRIDGE UNIV PRESS | Source: | JOURNAL OF FLUID MECHANICS, 826, p. 975-995 | Abstract: | The process of initial ice formation in brine is a highly complex problem. In this paper, we propose a mathematical model that captures the dynamics of nucleation and development of ice inclusions in brine. The primary emphasis is on the interaction between ice growth and salt diffusion, subject to external forcing provided by temperature. Within this setting two freezing regimes are identified, depending on the rate of change of the temperature: a slow freezing regime where a continuous ice domain is formed; and a fast freezing regime where recurrent nucleation appears within the fluid domain. The second regime is of primary interest, as it leads to fractal-like ice structures. We analyse the critical threshold between the slow and fast regimes by identifying the explicit rates of external temperature control that lead to self-similar salt-concentration profiles in the fluid domains. Subsequent heuristic analysis provides estimates of the characteristic length scales of the fluid domains depending on the time-variation of the temperature. The analysis is confirmed by numerical simulations. | Notes: | [Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin; Pop, Iuliu Sorin] Univ Bergen, Dept Math, Postboks 7803, N-5020 Bergen, Norway. [Alyaev, Sergey] IRIS, Thormoehlensgt 55, N-5008 Bergen, Norway. [Nordbotten, Jan Martin] Princeton Univ, Dept Civil & Environm Engn, Princeton, NJ 08544 USA. [Pop, Iuliu Sorin] Univ Hasselt, Fac Sci, Campus Diepenbeek,Agoralaan Bldg D, BE-3590 Diepenbeek, Belgium. | Keywords: | geophysical and geological flows; mathematical foundations; sea ice;geophysical and geological flows; mathematical foundations; sea ice | Document URI: | http://hdl.handle.net/1942/24842 | ISSN: | 0022-1120 | e-ISSN: | 1469-7645 | DOI: | 10.1017/jfm.2017.472 | ISI #: | 000407896700006 | Rights: | (c) Cambridge University Press 2017. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
10.1017@jfm.2017.472.pdf | Published version | 775.39 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.