Modeling the freezing process of aqueous solutions considering thermal gradients and stochastic ice nucleation
Leif-Thore Deck, Andraž Košir, Marco Mazzotti
Abstract
Despite its importance to multiple scientific fields and industries, the freezing process of aqueous solutions is not yet completely understood. In particular, the relationship between temperature gradients within a solution and the occurrence of stochastic ice nucleation remains elusive. To address this knowledge gap, we have derived a novel stochastic spatial freezing model from first principles. The model predicts with quantitative accuracy how temperature gradients affect the stochastic ice nucleation of sucrose solutions in vials. This motivated a detailed study of the freezing-stage in freeze-drying, revealing that a broad range of temperatures are present at the time of nucleation at different positions within the vial. This must be considered when interpreting experimental studies that measure the temperature only at a single point with a thermocouple. To ensure that both researchers and practitioners benefit from this modeling work, we provide open source access to it within our python package ethz-snow.