We propose a phase field model for the solid-liquid phase transition in a water-salt (sodium chloride) solution in absence of macroscopic motion, under possibly non-isothermal conditions. A thermodynamic approach based on a free energy functional is assumed. The model consists of three evolution equations: a time-dependent Ginzburg-Landau equation for the solid-liquid phase change, a diffusion equation of the Cahn-Hilliard kind for the solute dynamics and the heat equation for the temperature change. The proposed system is aimed to contribute to the modeling of the brine channels formation in the ice of the polar seas.

A phase field approach to solidification and solute separation in water solutions

GRANDI, Diego
2013

Abstract

We propose a phase field model for the solid-liquid phase transition in a water-salt (sodium chloride) solution in absence of macroscopic motion, under possibly non-isothermal conditions. A thermodynamic approach based on a free energy functional is assumed. The model consists of three evolution equations: a time-dependent Ginzburg-Landau equation for the solid-liquid phase change, a diffusion equation of the Cahn-Hilliard kind for the solute dynamics and the heat equation for the temperature change. The proposed system is aimed to contribute to the modeling of the brine channels formation in the ice of the polar seas.
2013
Grandi, Diego
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2362490
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact