Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes

Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes

Capillary rise is one of the best-known capillarity phenomena, and some capillary flows rise monotonically, whereas others oscillate, but no criteria have been formulated for this scenario. In this paper, the critical radius of the capillary tube is predicted numerically by Levine’s model. To the be...

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Main Author: Bohua Sun
Format: Article
Language:English
Published: AIP Publishing LLC 2021-02-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0040508
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spelling doaj-f5c95cf773974a61b95fc6bb763563272021-03-02T21:48:04ZengAIP Publishing LLCAIP Advances2158-32262021-02-01112025227025227-610.1063/5.0040508Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubesBohua Sun0School of Civil Engineering and Institute of Mechanics and Technology, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaCapillary rise is one of the best-known capillarity phenomena, and some capillary flows rise monotonically, whereas others oscillate, but no criteria have been formulated for this scenario. In this paper, the critical radius of the capillary tube is predicted numerically by Levine’s model. To the best of our knowledge, the phase–space diagram of capillary velocity vs height is obtained for the first time, which shows that the phase transition from oscillating to monotonically rising occurs when the phase trajectory decreases exponentially to somewhere other than the “attractor.” Two general Maple codes are provided as an essential part of this paper.http://dx.doi.org/10.1063/5.0040508
collection DOAJ
language English
format Article
sources DOAJ
author Bohua Sun
spellingShingle Bohua Sun
Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
AIP Advances
author_facet Bohua Sun
author_sort Bohua Sun
title Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
title_short Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
title_full Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
title_fullStr Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
title_full_unstemmed Monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
title_sort monotonic rising and oscillating of capillary-driven flow in circular cylindrical tubes
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2021-02-01
description Capillary rise is one of the best-known capillarity phenomena, and some capillary flows rise monotonically, whereas others oscillate, but no criteria have been formulated for this scenario. In this paper, the critical radius of the capillary tube is predicted numerically by Levine’s model. To the best of our knowledge, the phase–space diagram of capillary velocity vs height is obtained for the first time, which shows that the phase transition from oscillating to monotonically rising occurs when the phase trajectory decreases exponentially to somewhere other than the “attractor.” Two general Maple codes are provided as an essential part of this paper.
url http://dx.doi.org/10.1063/5.0040508
work_keys_str_mv AT bohuasun monotonicrisingandoscillatingofcapillarydrivenflowincircularcylindricaltubes
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