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.

Modelling the effect of acoustic waves on the thermodynamics and kinetics of phase transformation in a solution: Including mass transportation

“…It is close to the temperature of the solution rather than that of the core of the bursting bubble. 50 In contrast, the pressure gradient in the vicinity of the bursting bubble is substantially greater than the temperature gradient. 44,[49][50][51][52] Furthermore, for an organic mixture and an aqueous solution, the absolute value of the Soret coefficient is of the order of |S T | ≈ 0.001-0.01 K 1 .…”

Theoretical model of ice nucleation induced by inertial acoustic cavitation. Part 2: Number of ice nuclei generated by a single bubble

“…In the previous paper [4] (part 1), the pressure and temperature fields close to a bubble undergoing inertial acoustic cavitation were simulated and it was shown that extremely strong liquid water pressures but quite moderate temperatures were reached near the bubble wall just after the collapse.…”

“…The first concern was to determine the undercooling range around the collapsing bubble. The liquid temperature T l profiles near the bubble wall were calculated and shown in part 1 [4] of this paper. The melting temperature T m profiles were obtained from the liquid pressure profiles (see part 1 [4]) using the water solid-liquid equilibrium curve (see Eq.…”

“…5, along with the line corresponding to inertial cavitation threshold. The latter was obtained by using the dynamic equation of bubble wall motion (part 1, [4]) and the cavitation criterion of bubble radius expanding at least twice its initial value. Each contour curve has an upper and lower branch and the zones of possible nucleation lie within these branches.…”

Polymorph Control of L‐Phenylalanine in Cooling Crystallization by Ultrasonication

“…These differences influence the process acceptability, bioavailability, filtration, and tabletting processes of pharmaceutical, food, and specialty materials. Therefore, an effective method for polymorph and pseudo-polymorph control is required in the crystallization process to improve the functionality of crystals and process efficiency [1][2][3][4][5][6][7][8][9].…”