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先进的冷冻干燥建模:吸附-升华模型的验证

Advanced Freeze-Drying Modeling: Validation of a Sorption-Sublimation Model.

作者信息

Juckers Alex, Potschka Andreas, Strube Jochen

机构信息

Institute for Separation and Process Technology, Clausthal University of Technology, Clausthal-Zellerfeld 38678, Germany.

出版信息

ACS Omega. 2025 Apr 18;10(16):16962-16976. doi: 10.1021/acsomega.5c01665. eCollection 2025 Apr 29.

Abstract

Modeling freeze-drying is crucial due to the complex interplay of heat and mass transfer, which significantly impacts product quality and process efficiency. Traditional experimental approaches can be time-consuming and resource-intensive, making rigorous modeling an essential tool for optimization. Sorption-sublimation models incorporate the dynamic nature of the drying steps by accurately describing heat and mass transfer, enabling precise calculation of product temperature and residual moisture. Here, the moving boundary is mapped to the boundary of a fixed domain by the introduction of two new coordinates. Simulation results are validated by the approach from Sixt et al. The model shows good agreement with experimental data, with deviations reduced to as low as 3.9%. This represents a significant improvement over previous models, such as the pseudostationary approach, which exhibits deviations up to 42.2% for edge vials at the end of primary drying. For residual moisture, the experiment and simulation show similar error margins of 7% and the simulation deviates by only 8% from the experimental value. The model's accuracy and precision offer valuable insights for optimizing process parameters, ultimately enhancing product quality and reducing development costs. The successful validation against experimental data shows the model's potential as a robust tool for predicting process behavior in vial lyophilization, paving the way for its application in both research and industrial settings.

摘要

由于传热和传质之间复杂的相互作用,对冷冻干燥进行建模至关重要,这会显著影响产品质量和工艺效率。传统的实验方法可能既耗时又耗费资源,因此严格的建模成为优化的重要工具。吸附 - 升华模型通过准确描述传热和传质,纳入了干燥步骤的动态特性,从而能够精确计算产品温度和残余水分。在此,通过引入两个新坐标将移动边界映射到固定域的边界。模拟结果通过Sixt等人的方法进行验证。该模型与实验数据显示出良好的一致性,偏差降低至3.9%。这相较于先前的模型有显著改进,例如伪稳态方法,在一次干燥结束时边缘小瓶的偏差高达42.2%。对于残余水分,实验和模拟显示出类似的7%的误差范围,并且模拟值与实验值的偏差仅为8%。该模型的准确性和精确性为优化工艺参数提供了有价值的见解,最终提高了产品质量并降低了开发成本。针对实验数据的成功验证表明该模型作为预测小瓶冻干过程行为的强大工具的潜力,为其在研究和工业环境中的应用铺平了道路。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d42f/12044471/48f90c962f0e/ao5c01665_0001.jpg

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