重力场中水平纤维悬垂液滴形状的模型研究

doi:10.11949/0438-1157.20200444

摘要/Abstract

摘要：

通过搭建可视化试验台观测了重力场中水平金属纤维表面的液滴形状，并测量了液滴形状参数，包括液滴直径、高度、接触角、接触线宽度和接触线高度。通过拟合参数关联式，求解了液滴固-液界面子模型和气-液界面子模型的描述方程，开发了一种椭球形的纤维液滴形状模型。液滴模型的轮廓预测结果和观测试验得到的液滴图像吻合度较好，可以在±10％的误差范围内描述98%的试验结果，平均偏差为4.6％。

关键词: 液滴形状, 模型, 金属纤维, 表面, 预测

Abstract:

The study observed the shape of the droplet on the surface of the horizontal metal fiber in the gravity field by building a visual test bench. The geometry parameters including droplet diameter, height, contact angle, width of contact line and height of contact line were measured. By fitting the correlations of these geometry parameters, the description equations of solid-liquid interface and gas-liquid interface were solved and an ellipsoidal droplet shape model on metal fiber was developed. The predicted shapes of droplet model are in good agreement with the droplet images obtained from the observation experiment. The predicted results can describe 98% of the experimental results within the deviation limit of ±10%, and the mean deviation is 4.6%.

Key words: droplet shape, model, metal fiber, surface, prediction

中图分类号:

TK 124

陆天宏,周发贤,庄大伟,丁国良. 重力场中水平纤维悬垂液滴形状的模型研究[J]. 化工学报, 2020, 71(12): 5452-5460.

LU Tianhong,ZHOU Faxian,ZHUANG Dawei,DING Guoliang. Model of droplet shape on horizontal metal fiber in gravity field[J]. CIESC Journal, 2020, 71(12): 5452-5460.

图/表 11

图1 水平纤维上悬垂液滴

Fig.1 Droplet on metal fiber

图2 试验装置1—步进电机；2—注射器；3—样件及旋转台；4—电子天平；5—移动平台；6—LED冷光源；7—透镜；8—CCD相机；9—计算机；10—精调螺旋；11—固定螺母；12—固定支架；13—样件；14—旋转台；15—旋转台基座

Fig.2 Schematic diagram of experimental apparatus

图3 液滴观测试验结果 (d =1 mm)

Fig.3 Observation result of the droplet shape on fiber (d =1 mm)

图4 液滴形状参数示意图

Fig.4 Schematic diagram of droplet geometry parameters

图5 随Bond数变化的无量纲直径

Fig.5 Dimensionless diameter with Bond number

图6 随Bond数变化的无量纲接触角

Fig.6 Dimensionless contact angle with Bond number

图7 随Bond数变化的无量纲接触线宽度

Fig.7 Dimensionless contact line with Bond number

图8 随Bond数变化的无量纲接触线高度

Fig.8 Dimensionless wetting height with Bond number

图9 三相接触线示意图

Fig.9 Schematic diagram of triple contact line

图10 不同方位角下纤维液滴轮廓曲面

Fig.10 Droplet profiles at different azimuthal angles

图11 试验观测轮廓和模型预测的液滴轮廓比较

Fig.11 Comparison of droplet profile between image processing results and predicted results

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