高表面张力水液滴撞击陶瓷柱面的铺展行为建模研究

张壮; 肖军杰

doi:10.19554/j.cnki.1001-3563.2026.13.030

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包装工程（技术栏目） ›› 2026, Vol. 47 ›› Issue (13) : 280-288. DOI: 10.19554/j.cnki.1001-3563.2026.13.030

绿色包装与循环经济

高表面张力水液滴撞击陶瓷柱面的铺展行为建模研究

张壮^a, 肖军杰^a,b,c*

作者信息 +

Modeling of Spreading Behavior of High Surface Tension Water Droplets Impinging on Ceramic Cylindrical Surfaces

ZHANG Zhuang^a, XIAO Junjie^a,b,c*

Author information +

文章历史 +

摘要

目的研究精确预测高表面张力水液滴撞击陶瓷柱面最大铺展直径的模型。方法基于能量守恒定律,考虑惯性力、表面张力、黏性耗散及接触角等因素,构建液滴撞击柱面最大铺展直径因子的理论模型;采用体积分数法,建立液滴撞击陶瓷柱面仿真模型,并对铺展行为进行数值模拟分析;基于高表面张力水液滴撞击陶瓷柱面的动态铺展实验数据,分析理论建模、数值模拟方法的预测精度。结果理论模型预测值与实验结果的最大相对误差为7.32%,数值模拟结果与实验结果的最大相对误差为2.07%,其与实验结果吻合良好。结论建立的理论模型和仿真模型能够精确描述高表面张力液滴在陶瓷柱面上的铺展行为,可为曲面印刷等工程领域的液滴铺展行为分析与工艺决策提供理论依据和技术支持。

Abstract

The work aims to investigate the prediction models of the maximum spreading diameter for high surface tension water droplets impinging on ceramic cylindrical surfaces. Based on the law of energy conservation, a theoretical model for the maximum spreading diameter factor was developed by considering inertial force, surface tension, viscous dissipation, and contact angle. Then, a numerical model of droplet impacting on a ceramic cylindrical surface was established with the Volume of Fluid method, and the spreading behavior was simulated and analyzed. The prediction accuracy of both the theoretical and numerical models was evaluated by comparing with experimental data from dynamic spreading experiments of high surface tension water droplets impacting on ceramic cylindrical surfaces. The maximum relative error between the theoretical model predictions and the experimental results was 7.32%, while that between the numerical simulation results and the experimental results was 2.07%. They were in good agreement with the experimental results. The proposed theoretical and numerical models can accurately describe the spreading behavior of high surface tension droplets impinging on ceramic cylindrical surfaces, providing a theoretical basis and technical support for analyzing droplet spreading behavior and informing process decisions in engineering fields such as curved surface printing.

导出引用

张壮, 肖军杰. 高表面张力水液滴撞击陶瓷柱面的铺展行为建模研究[J]. 包装工程. 2026, 47(13): 280-288 https://doi.org/10.19554/j.cnki.1001-3563.2026.13.030

ZHANG Zhuang, XIAO Junjie. Modeling of Spreading Behavior of High Surface Tension Water Droplets Impinging on Ceramic Cylindrical Surfaces[J]. Packaging Engineering. 2026, 47(13): 280-288 https://doi.org/10.19554/j.cnki.1001-3563.2026.13.030

中图分类号： TS805 TB126

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