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Updated: Aug 3, 2025

Ice Generation and the Heat and Mass Transfer Phenomena of Introducing Water to a Cold Bath of Brine
Published on: March 13, 2017
A mathematical model for supercooling process and its application to frazil ice evolution.
Deming Yang1,2, Jijian Lian1,2, Xin Zhao3,4
1State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, China.
This study establishes a general formula for calculating frazil ice crystal numbers, crucial for modeling ice evolution. The number of nuclei produced significantly impacts simulation results, aiding water temperature and frazil ice relationship exploration.
Area of Science:
- Hydrology
- Fluid Dynamics
- Thermodynamics
Background:
- Accurate calculation of frazil ice crystal numbers is vital for modeling frazil ice evolution.
- Existing models require refinement to account for various physical processes affecting ice crystal formation.
Purpose of the Study:
- To establish a general formula for calculating the number of frazil ice crystals.
- To investigate the influence of key parameters on frazil ice evolution models.
- To provide technical support for understanding water temperature and frazil ice dynamics.
Main Methods:
- Developed a general formula incorporating secondary nucleation, flocculation, gravity, turbulent entrainment, and melting.
- Introduced critical impact velocity and flocculation probability to model secondary nucleation and flocculation.
- Applied the Sobol method for sensitivity analysis of model parameters.
Main Results:
- Simulation results demonstrated good agreement with experimental data and real-world projects.
- The number of nuclei produced was identified as the most sensitive parameter, significantly influencing model outcomes.
- Parameter sensitivity analysis revealed effects on maximum supercooling and its duration.
Conclusions:
- The developed calculation method for frazil ice crystals enhances the accuracy of frazil ice evolution models.
- The findings provide crucial insights into the relationship between water temperature and frazil ice formation.
- This research offers valuable technical support for hydraulic and environmental engineering applications.
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