title: Theoretical model of ice nucleation induced by acoustic cavitation. Part 1: Pressure and temperature profiles around a single bubble.
abstract: This paper deals with the inertial cavitation of a single gas bubble in a liquid submitted to an ultrasonic wave. The aim was to calculate accurately the pressure and temperature at the bubble wall and in the liquid adjacent to the wall just before and just after the collapse. Two different approaches were proposed for modeling the heat transfer between the ambient liquid and the gas: the simplified approach (A) with liquid acting as perfect heat sink, the rigorous approach (B) with liquid acting as a normal heat conducting medium. The time profiles of the bubble radius, gas temperature, interface temperature and pressure corresponding to the above models were compared and important differences were observed excepted for the bubble size. The exact pressure and temperature distributions in the liquid corresponding to the second model (B) were also presented. These profiles are necessary for the prediction of any physical phenomena occurring around the cavitation bubble, with possible applications to sono-crystallization.
authors.affiliation: University of Lyon, France, Université Claude Bernard Lyon 1, Laboratoire d'Automatique et de Génie des Procédés (LAGEP UMR CNRS 5007), Campus de la Doua, Bât. CPE, 69616 Villeurbanne, France.
authors.forename: C
authors.initials: C
authors.lastname: Cogné
authors.affiliation: University of Lyon, France, Université Claude Bernard Lyon 1, Laboratoire d'Automatique et de Génie des Procédés (LAGEP UMR CNRS 5007), Campus de la Doua, Bât. CPE, 69616 Villeurbanne, France.
authors.forename: S
authors.initials: S
authors.lastname: Labouret
authors.affiliation: University of Lyon, France, Université Claude Bernard Lyon 1, Laboratoire d'Automatique et de Génie des Procédés (LAGEP UMR CNRS 5007), Campus de la Doua, Bât. CPE, 69616 Villeurbanne, France. Electronic address: peczalski@lagep.univ-lyon1.fr.
authors.forename: R
authors.initials: R
authors.lastname: Peczalski
authors.affiliation: University of Toulouse, France, Ecole Nationale Supérieure des Mines d'Albi-Carmaux, Centre de Recherche d'Albi en génie des Procédés des Solides Divisés, de l'Énergie et de l'Environnement (RAPSODEE UMR CNRS 5302), Campus Jarlard, 81013 Albi, France.
authors.forename: O
authors.initials: O
authors.lastname: Louisnard
authors.affiliation: University of Toulouse, France, Ecole Nationale Supérieure des Mines d'Albi-Carmaux, Centre de Recherche d'Albi en génie des Procédés des Solides Divisés, de l'Énergie et de l'Environnement (RAPSODEE UMR CNRS 5302), Campus Jarlard, 81013 Albi, France.
authors.forename: F
authors.initials: F
authors.lastname: Baillon
authors.affiliation: University of Toulouse, France, Ecole Nationale Supérieure des Mines d'Albi-Carmaux, Centre de Recherche d'Albi en génie des Procédés des Solides Divisés, de l'Énergie et de l'Environnement (RAPSODEE UMR CNRS 5302), Campus Jarlard, 81013 Albi, France.
authors.forename: F
authors.initials: F
authors.lastname: Espitalier
keywords: Cavitation; Fluid mechanics; Heat transfer; Modeling; Single bubble; Ultrasound