Suppression of ice nucleation in supercooled water under temperature gradients

doi:10.1088/1674-1056/abd764

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 68203-068203.doi: 10.1088/1674-1056/abd764

Suppression of ice nucleation in supercooled water under temperature gradients

Li-Ping Wang(王利平), Wei-Liang Kong(孔维梁), Pei-Xiang Bian(边佩翔), Fu-Xin Wang(王福新)^†, and Hong Liu(刘洪)^‡

School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

收稿日期:2020-11-18 修回日期:2020-12-12 接受日期:2020-12-30 出版日期:2021-05-18 发布日期:2021-05-27
通讯作者: Fu-Xin Wang, Hong Liu E-mail:fuxinwang@sjtu.edu.cn;hongliu@sjtu.edu.cn

Suppression of ice nucleation in supercooled water under temperature gradients

Li-Ping Wang(王利平), Wei-Liang Kong(孔维梁), Pei-Xiang Bian(边佩翔), Fu-Xin Wang(王福新)^†, and Hong Liu(刘洪)^‡

School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2020-11-18 Revised:2020-12-12 Accepted:2020-12-30 Online:2021-05-18 Published:2021-05-27
Contact: Fu-Xin Wang, Hong Liu E-mail:fuxinwang@sjtu.edu.cn;hongliu@sjtu.edu.cn

摘要/Abstract

摘要： Understanding the behaviours of ice nucleation in non-isothermal conditions is of great importance for the preparation and retention of supercooled water. Here ice nucleation in supercooled water under temperature gradients is analyzed thermodynamically based on classical nucleation theory (CNT). Given that the free energy barrier for nucleation is dependent on temperature, different from a uniform temperature usually used in CNT, an assumption of linear temperature distribution in the ice nucleus was made and taken into consideration in analysis. The critical radius of the ice nucleus for nucleation and the corresponding nucleation model in the presence of a temperature gradient were obtained. It is observed that the critical radius is determined not only by the degree of supercooling, the only dependence in CNT, but also by the temperature gradient and even the Young's contact angle. Effects of temperature gradient on the change in free energy, critical radius, nucleation barrier and nucleation rate with different contact angles and degrees of supercooling are illustrated successively. The results show that a temperature gradient will increase the nucleation barrier and decrease the nucleation rate, particularly in the cases of large contact angle and low degree of supercooling. In addition, there is a critical temperature gradient for a given degree of supercooling and contact angle, at the higher of which the nucleation can be suppressed completely.

关键词: supercooled water, ice nucleation, temperature gradient, thermodynamic analysis, classical nucleation theory

Abstract: Understanding the behaviours of ice nucleation in non-isothermal conditions is of great importance for the preparation and retention of supercooled water. Here ice nucleation in supercooled water under temperature gradients is analyzed thermodynamically based on classical nucleation theory (CNT). Given that the free energy barrier for nucleation is dependent on temperature, different from a uniform temperature usually used in CNT, an assumption of linear temperature distribution in the ice nucleus was made and taken into consideration in analysis. The critical radius of the ice nucleus for nucleation and the corresponding nucleation model in the presence of a temperature gradient were obtained. It is observed that the critical radius is determined not only by the degree of supercooling, the only dependence in CNT, but also by the temperature gradient and even the Young's contact angle. Effects of temperature gradient on the change in free energy, critical radius, nucleation barrier and nucleation rate with different contact angles and degrees of supercooling are illustrated successively. The results show that a temperature gradient will increase the nucleation barrier and decrease the nucleation rate, particularly in the cases of large contact angle and low degree of supercooling. In addition, there is a critical temperature gradient for a given degree of supercooling and contact angle, at the higher of which the nucleation can be suppressed completely.

Key words: supercooled water, ice nucleation, temperature gradient, thermodynamic analysis, classical nucleation theory

中图分类号: (Thermodynamics of nucleation)

82.60.Nh

05.70.-a (Thermodynamics) 64.70.D- (Solid-liquid transitions) 68.55.A- (Nucleation and growth)

Li-Ping Wang(王利平), Wei-Liang Kong(孔维梁), Pei-Xiang Bian(边佩翔), Fu-Xin Wang(王福新), and Hong Liu(刘洪). Suppression of ice nucleation in supercooled water under temperature gradients[J]. 中国物理B, 2021, 30(6): 68203-068203.

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Suppression of ice nucleation in supercooled water under temperature gradients

Suppression of ice nucleation in supercooled water under temperature gradients

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