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聚醋酸乙烯酯-甲醇薄膜干燥过程中短尺度对流不稳定性的临界溶质马兰戈尼数关联

Critical Solutal Marangoni Number Correlation for Short-Scale Convective Instabilities in Drying Poly(vinyl acetate)-Methanol Thin Films.

作者信息

Tönsmann Max, Scharfer Philip, Schabel Wilhelm

机构信息

Karlsruhe Institute of Technology (KIT), Thin Film Technology (TFT), Kaiserstraße 12, 76131 Karlsruhe, Germany.

出版信息

Polymers (Basel). 2021 Aug 31;13(17):2955. doi: 10.3390/polym13172955.

DOI:10.3390/polym13172955
PMID:34502995
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8433935/
Abstract

A new empiric correlation for the critical solutal Marangoni number as function of the Péclet and Schmidt numbers is proposed. It is based on previously published experimental flow field data in drying poly(vinyl acetate)-methanol films with an initial thickness in the range of 20-100 μm and an initial solvent load of 1 to 2 gMeOH/gPVAc, as well as newly derived concentration profile measurements and 1D drying simulations. The analysis accounts for realistic transient material properties and describes the occurrence of short-scale convective Marangoni (in)stabilities during the entire drying process with an accuracy of 9%. In addition, the proposed correlation qualitatively follows trends known from theory. As convective Marangoni instabilities in drying polymer films may induce surface deformations, which persist in the dry film, the correlation may facilitate future process design for either thin films with uniform thickness or deliberate self-assembly.

摘要

提出了一种新的经验关联式，用于描述临界溶质马兰戈尼数与佩克莱特数和施密特数的函数关系。该关联式基于先前发表的实验流场数据，这些数据来自干燥初始厚度在20 - 100μm范围内、初始溶剂负载为1至2 gMeOH/gPVAc的聚醋酸乙烯酯 - 甲醇薄膜，以及新推导的浓度分布测量结果和一维干燥模拟。该分析考虑了实际的瞬态材料特性，并以9%的精度描述了整个干燥过程中短尺度对流马兰戈尼（不）稳定性的发生情况。此外，所提出的关联式在定性上遵循理论已知的趋势。由于干燥聚合物薄膜中的对流马兰戈尼不稳定性可能会引起表面变形，且这种变形会在干膜中持续存在，因此该关联式可能有助于未来针对具有均匀厚度的薄膜或有意的自组装进行工艺设计。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/f309ba5da3fb/polymers-13-02955-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/a7db72460308/polymers-13-02955-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4328f0a3b10e/polymers-13-02955-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/34da728be5f9/polymers-13-02955-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/e9dfcc124d33/polymers-13-02955-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/51049c5e22e4/polymers-13-02955-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/fcefdc522262/polymers-13-02955-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4996263e3962/polymers-13-02955-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/ce926c283451/polymers-13-02955-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/6abb16a905c5/polymers-13-02955-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/93bd2a70493f/polymers-13-02955-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4e4aebc48e05/polymers-13-02955-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/a8e95ea96ac1/polymers-13-02955-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/7fcd2c96c1b6/polymers-13-02955-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/f309ba5da3fb/polymers-13-02955-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/a7db72460308/polymers-13-02955-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4328f0a3b10e/polymers-13-02955-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/34da728be5f9/polymers-13-02955-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/e9dfcc124d33/polymers-13-02955-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/51049c5e22e4/polymers-13-02955-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/fcefdc522262/polymers-13-02955-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4996263e3962/polymers-13-02955-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/ce926c283451/polymers-13-02955-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/6abb16a905c5/polymers-13-02955-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/93bd2a70493f/polymers-13-02955-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/4e4aebc48e05/polymers-13-02955-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/a8e95ea96ac1/polymers-13-02955-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/7fcd2c96c1b6/polymers-13-02955-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/eed9/8433935/f309ba5da3fb/polymers-13-02955-g013.jpg

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