Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity

This paper studies modifications made to the Bosanquet equation in order to fit the experimental observations of the liquid filling process in circular tubes that occurs by capillary force. It is reported that there is a significant difference between experimental observations and the results predic...

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Main Authors: Wei Hua, Wei Wang, Weidong Zhou, Ruige Wu, Zhenfeng Wang
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/13/7/1098
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author Wei Hua
Wei Wang
Weidong Zhou
Ruige Wu
Zhenfeng Wang
author_facet Wei Hua
Wei Wang
Weidong Zhou
Ruige Wu
Zhenfeng Wang
author_sort Wei Hua
collection DOAJ
description This paper studies modifications made to the Bosanquet equation in order to fit the experimental observations of the liquid filling process in circular tubes that occurs by capillary force. It is reported that there is a significant difference between experimental observations and the results predicted by the Bosanquet equation; hence, it is reasonable to investigate these differences intensively. Here, we modified the Bosanquet equation such that it could consider more factors that contribute to the filling process. First, we introduced the air flowing out of the tube as the liquid inflow. Next, we considered the increase in hydraulic resistance due to the surface roughness of the inner tube. Finally, we further considered the advancing contact angle, which varies during the filling process. When these three factors were included, the modified Bosanquet equation was well correlated with the experimental results, and the R square—which indicates the fitting quality between the simulation and the experiment—significantly increased to above 0.99.
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spelling doaj.art-c463a64d3d1a4aa38c7a982b068202002023-12-03T11:57:59ZengMDPI AGMicromachines2072-666X2022-07-01137109810.3390/mi13071098Experiment—Simulation Comparison in Liquid Filling Process Driven by CapillarityWei Hua0Wei Wang1Weidong Zhou2Ruige Wu3Zhenfeng Wang4Singapore Institute of Manufacturing Technology, Agency for Science, Technology and Research (A*STAR), Singapore 138669, SingaporeSingapore Institute of Manufacturing Technology, Agency for Science, Technology and Research (A*STAR), Singapore 138669, SingaporeSingapore Institute of Manufacturing Technology, Agency for Science, Technology and Research (A*STAR), Singapore 138669, SingaporeSingapore Institute of Manufacturing Technology, Agency for Science, Technology and Research (A*STAR), Singapore 138669, SingaporeSingapore Institute of Manufacturing Technology, Agency for Science, Technology and Research (A*STAR), Singapore 138669, SingaporeThis paper studies modifications made to the Bosanquet equation in order to fit the experimental observations of the liquid filling process in circular tubes that occurs by capillary force. It is reported that there is a significant difference between experimental observations and the results predicted by the Bosanquet equation; hence, it is reasonable to investigate these differences intensively. Here, we modified the Bosanquet equation such that it could consider more factors that contribute to the filling process. First, we introduced the air flowing out of the tube as the liquid inflow. Next, we considered the increase in hydraulic resistance due to the surface roughness of the inner tube. Finally, we further considered the advancing contact angle, which varies during the filling process. When these three factors were included, the modified Bosanquet equation was well correlated with the experimental results, and the R square—which indicates the fitting quality between the simulation and the experiment—significantly increased to above 0.99.https://www.mdpi.com/2072-666X/13/7/1098capillarityfilling processBosanquet equationmodel modifications
spellingShingle Wei Hua
Wei Wang
Weidong Zhou
Ruige Wu
Zhenfeng Wang
Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
Micromachines
capillarity
filling process
Bosanquet equation
model modifications
title Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
title_full Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
title_fullStr Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
title_full_unstemmed Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
title_short Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity
title_sort experiment simulation comparison in liquid filling process driven by capillarity
topic capillarity
filling process
Bosanquet equation
model modifications
url https://www.mdpi.com/2072-666X/13/7/1098
work_keys_str_mv AT weihua experimentsimulationcomparisoninliquidfillingprocessdrivenbycapillarity
AT weiwang experimentsimulationcomparisoninliquidfillingprocessdrivenbycapillarity
AT weidongzhou experimentsimulationcomparisoninliquidfillingprocessdrivenbycapillarity
AT ruigewu experimentsimulationcomparisoninliquidfillingprocessdrivenbycapillarity
AT zhenfengwang experimentsimulationcomparisoninliquidfillingprocessdrivenbycapillarity