Ice slurries phase transition thermodynamics: relations for determining concentration – temperature domains of application O. Lottin a, * , V. Ayel b , H. Peerhossaini b a LEMTA, UMR 7563 CNRS-INPL-Universite ´ Henri Poincare ´, BP 160, Vandoeuvre le `s Nancy 54504, France b Laboratoire de Thermocine ´tique, UMR 660 CNRS-Ecole Polytechnique de l’Universite ´ de Nantes, BP 50609, Nantes 44306, France Received 13 May 2003; received in revised form 26 February 2004; accepted 14 March 2004 Abstract Criteria for calculation of the concentration – temperature domain of use of ice slurries are defined, which allows establishing a temperature – concentration chart relating the temperature and the antifreeze mass fraction. It is shown that the shape of the chart depends only on the thermodynamic properties (heat capacity, ice – liquid equilibrium, etc.) of the diluted substance. q 2004 Elsevier Ltd and IIR. All rights reserved. Keywords: Two-phase mixture; Liquid; Ice; Calculation; Concentration; Temperature; Transition; Phase Thermodynamique de transition de phase dans les coulis de glace: relations pour le calcul des domaines d’utilisation Mots-cle ´s : Me ´lange disphasique ; Liquide ; Glace ; Calcul ; Concentration ; Tempe ´rature ; Transition ; Phase 1. Introduction The purpose of this paper is to summarize general expressions of the intrinsic thermodynamic properties of ice slurries and to use them to define their concentration – temperature domain of use. Two different models are detailed in Section 2, where we discuss the general classification of phase changes of binary water – antifreeze mixtures. In Section 4, criteria defining the temperature – concentration domain of use of ice slurries are proposed, which allow establishing a temperature – concentration chart relating the temperature and the antifreeze mass fraction. In the following, the omission of subscripts in the expressions of the thermodynamic properties always makes reference to the slurry (i.e. ice and remaining water – antifreeze liquid mixture) whereas the liquid phase, solid phase, pure water or pure antifreeze are referred to by the l, s, w and a subscripts, respectively. 2. Enthalpy of a water – antifreeze mixture 2.1. General expressions The 0 J/kg reference state for enthalpy calculations is chosen to be the liquid phase at 0 8C (for both pure water and antifreeze). The pressure is supposed to stay constant, equal to 1 atm. The enthalpy of pure water, antifreeze and ice can International Journal of Refrigeration 27 (2004) 520–528 www.elsevier.com/locate/ijrefrig 0140-7007/$35.00 q 2004 Elsevier Ltd and IIR. All rights reserved. doi:10.1016/j.ijrefrig.2004.03.010 * Corresponding author. Tel.: þ33-383-595-612; fax: þ 33-383- 595-551. E-mail address: olivier.lottin@ensem.inpl-nancy.fr (O. Lottin).