Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media

doi:10.1016/j.cjche.2024.11.012

Chinese Journal of Chemical Engineering ›› 2025, Vol. 80 ›› Issue (4): 261-273.DOI: 10.1016/j.cjche.2024.11.012

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Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media

Bingbing Li¹, Jiantong Li², Side Ren², Shuo Gu², Zhanjian Liu³, Liyan Liu^2,4

1 School of Energy and Chemical Engineering, Tianjin Renai College, Tianjin 301636, China;
2 School of Chemical Engineering and Technology, Tianjin University, Tianjin 300350, China;
3 College of New Energy & Materials, Northeast Petroleum University, Daqing 163318, China;
4 Tianjin Key Laboratory of Chemical Process Safety and Equipment Technology, Tianjin 300350, China

Received:2024-07-17 Revised:2024-11-22 Accepted:2024-11-25 Online:2025-01-17 Published:2025-04-28
Contact: Liyan Liu,E-mail:liuliyan@tju.edu.cn
Supported by:
The authors are grateful for the funding support of National Natural Science Foundation of China (21978204).

Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media

Bingbing Li¹, Jiantong Li², Side Ren², Shuo Gu², Zhanjian Liu³, Liyan Liu^2,4

1 School of Energy and Chemical Engineering, Tianjin Renai College, Tianjin 301636, China;
2 School of Chemical Engineering and Technology, Tianjin University, Tianjin 300350, China;
3 College of New Energy & Materials, Northeast Petroleum University, Daqing 163318, China;
4 Tianjin Key Laboratory of Chemical Process Safety and Equipment Technology, Tianjin 300350, China

通讯作者: Liyan Liu,E-mail:liuliyan@tju.edu.cn
基金资助:
The authors are grateful for the funding support of National Natural Science Foundation of China (21978204).

Abstract

Abstract: Porous liquid-conducting micro-heat exchangers have garnered considerable attention for their role in efficient heat dissipation in small electronic devices. This demand highlights the need for advanced mathematical models to optimize the selection of mixed heat exchange media and equipment design. A capillary bundle evaporation model for porous liquid-conducting media was developed based on the conjugate mass transfer evaporation rate prediction model of a single capillary tube, supplemented by mercury injection experimental data. Theoretical and experimental comparisons were conducted using 1,2-propanediol-glycerol (PG-VG) mixtures at molar ratios of 1:9, 3:7, 5:5, and 7:3 at 120, 150, and 180 ℃. The Jouyban-Acree model was implemented to enhance the evaporation rate predictions. For the 7:3 PG-VG mixture at 180 ℃ under the experimental conditions of the thermal medium, the model’s error reduced from 16.75% to 10.84% post-correction. Overall, the mean relative error decreased from 11.76% to 5.98% after correction.

Key words: Evaporation in porous media, Capillary bundle model, 1,2-propylene glycol-glycerin, Evaporation rate

摘要： Porous liquid-conducting micro-heat exchangers have garnered considerable attention for their role in efficient heat dissipation in small electronic devices. This demand highlights the need for advanced mathematical models to optimize the selection of mixed heat exchange media and equipment design. A capillary bundle evaporation model for porous liquid-conducting media was developed based on the conjugate mass transfer evaporation rate prediction model of a single capillary tube, supplemented by mercury injection experimental data. Theoretical and experimental comparisons were conducted using 1,2-propanediol-glycerol (PG-VG) mixtures at molar ratios of 1:9, 3:7, 5:5, and 7:3 at 120, 150, and 180 ℃. The Jouyban-Acree model was implemented to enhance the evaporation rate predictions. For the 7:3 PG-VG mixture at 180 ℃ under the experimental conditions of the thermal medium, the model’s error reduced from 16.75% to 10.84% post-correction. Overall, the mean relative error decreased from 11.76% to 5.98% after correction.

关键词: Evaporation in porous media, Capillary bundle model, 1,2-propylene glycol-glycerin, Evaporation rate

Bingbing Li, Jiantong Li, Side Ren, Shuo Gu, Zhanjian Liu, Liyan Liu. Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media[J]. Chinese Journal of Chemical Engineering, 2025, 80(4): 261-273.

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Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media

Development of a capillary bundle evaporation advanced mathematical modeling for 1,2-propylene glycol-glycerin mixtures in porous media

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