ANALYSIS OF CAPILLARY RISE CONSIDERING INFLOW PHENOMENON IN CAPILLARY TUBE

Among the best-known capillarity phenomena is a capillary rise, the understanding of which is essential in fluidics. Some capillary flows rise monotonically whereas others oscillate, but until now no criteria have been formulated for this scenario. In this paper, the Levine's capillary rise modelling is computed numerically, then the critical radius of the capillary tube is formulated by using the dimensional method and data fitting for identification of exponent index. The phase space diagram of capillary velocity versus height is obtained for the first time and shows that the phase transition from oscillating to monotonic rising happens when the phase trajectory decreases exponentially to somewhere other than the "attractor." Two general Maple codes of the problem are provided as an essential part of this paper.

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Effects of Tube Radius and Surface Tension on Capillary Rise Dynamics of Water/Butanol Mixtures

Applied Sciences ◽

10.3390/app11083533 ◽

2021 ◽

Vol 11 (8) ◽

pp. 3533

Author(s):

Seungyeop Baek ◽

Sungjin Jeong ◽

Jaedeok Seo ◽

Sanggon Lee ◽

Seunghwan Park ◽

...

Keyword(s):

Surface Tension ◽

High Performance ◽

Liquid Surface ◽

Capillary Tube ◽

Capillary Rise ◽

Heat Pipes ◽

Water Mixture ◽

Tube Radius ◽

Liquid Surface Tension ◽

Linear Correlations

Capillary-driven action is an important phenomenon which aids the development of high-performance heat transfer devices, such as microscale heat pipes. This study examines the capillary rise dynamics of n-butanol/water mixture in a single vertical capillary tube with different radii (0.4, 0.6, and 0.85 mm). For liquids, distilled water, n-butanol, and their blends with varying concentrations of butanol (0.3, 0.5, and 0.7 wt.%) were used. The results show that the height and velocity of the capillary rise were dependent on the tube radius and liquid surface tension. The larger the radius and the higher the surface tension, the lower was the equilibrium height (he) and the velocity of rise. The process of capillary rise was segregated into three characteristic regions: purely inertial, inertial + viscous, and purely viscous regions. The early stages (purely inertial and inertial + viscous) represented the characteristic heights h1 and h2, which were dominant in the capillary rise process. There were linear correlations between the characteristic heights (h1, h2, and he), tube radius, and surface tension. Based on these correlations, a linear function was established between each of the three characteristic heights and the consolidated value of tube radius and surface tension (σL/2πr2).

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Surface tension of aqueous binary mixtures under the supercooled conditions – Development of the measuring technique and preliminary data for water + lower alcohols

EPJ Web of Conferences ◽

10.1051/epjconf/201818002118 ◽

2018 ◽

Vol 180 ◽

pp. 02118 ◽

Cited By ~ 1

Author(s):

Václav Vinš ◽

Jiří Hykl ◽

Zbyněk Nikl ◽

Miroslav Čenský ◽

Jan Hrubý

Keyword(s):

Surface Tension ◽

Binary Mixtures ◽

Capillary Tube ◽

Pure Water ◽

Capillary Rise ◽

Solute Concentration ◽

Liquid Column ◽

Measuring Technique ◽

Aqueous Mixtures ◽

Experimental Apparatus

An experimental apparatus originally developed for the measurement of surface tension of supercooled water was modified such that it allows for measurement of binary aqueous mixtures. The measuring principle based on the capillary rise technique is similar to that employed in the previous measurements with pure water [J. Hrubý et al., J. Phys. Chem. Lett. 5 (2014) 425 and V. Vinš et al., J. Phys. Chem. B 119 (2015) 5567]. The temperature dependence of the surface tension is determined from the measured height of the liquid column elevated in a vertical capillary tube with an inner diameter of 0.32 mm. The aqueous liquid rises to a height of 60 mm to 95 mm depending on the solute concentration and the temperature. Preliminary tests performed with the binary mixtures of water with methanol, ethanol, and n-propanol at various concentrations and temperatures down to –28 °C approved functionality of the measuring technique. Some difficulties, such as influence of impurities on the liquid column elevation or formation of bubbles in the liquid column, were observed. The experimental apparatus is further being modified in order to obtain more accurate data for various aqueous mixtures.

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Capillary rise of water: impact of the submerged portion of capillary tube

Physics Education ◽

10.1088/1361-6552/ab00af ◽

2019 ◽

Vol 54 (3) ◽

pp. 035005

Author(s):

Subhasis Maity ◽

Pradipta Panchadhyayee ◽

Binoy Bhusan Das ◽

S Minhaz Hossain

Keyword(s):

Capillary Tube ◽

Capillary Rise ◽

Water Impact

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Ferrofluid Capillary Rise in Porous Medium Under the Action of Nonuniform Magnetic Field

Journal of Fluids Engineering ◽

10.1115/1.4034361 ◽

2016 ◽

Vol 139 (1) ◽

Cited By ~ 1

Author(s):

Arthur Zakinyan ◽

Levon Mkrtchyan ◽

Victoria Grunenko ◽

Yuri Dikansky

Keyword(s):

Magnetic Field ◽

Porous Medium ◽

Capillary Flow ◽

Magnetic Measurements ◽

Capillary Tube ◽

Capillary Rise ◽

Nonuniform Magnetic Field ◽

Static Case ◽

Single Experiment ◽

Material Parameters

The capillary flow of a ferrofluid in a single cylindrical capillary tube and through a sandy porous medium under the action of a nonuniform magnetic field is studied experimentally. The dynamics of the capillary rise and the static case have been considered. It has been shown that the nonuniform magnetic field with upward directed gradient accelerates the capillary rise; contrary, the nonuniform magnetic field with downward directed gradient decelerates the capillary rise. Time dependences of the ferrofluid height and maximum reachable height of ferrofluid have been analyzed. The method of the study of ferrofluid capillary rise based on the use of magnetic measurements has been proposed. It has been demonstrated that porous material parameters can be extracted from the results of measurements of the inductances of the solenoid with porous medium inside and the small sensing coil within a single experiment.

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The dual role of viscosity in capillary rise

Soft Matter ◽

10.1039/c8sm02485e ◽

2019 ◽

Vol 15 (13) ◽

pp. 2757-2761 ◽

Cited By ~ 6

Author(s):

Joachim Delannoy ◽

Suzanne Lafon ◽

Yukina Koga ◽

Étienne Reyssat ◽

David Quéré

Keyword(s):

Viscous Dissipation ◽

Contact Line ◽

Capillary Tube ◽

Capillary Rise ◽

Dual Role ◽

Short Time

At short time, the rise of a viscous meniscus in a capillary tube is opposed by viscous dissipation at the contact line, which leads to a progression linear in time instead of the classical Washburn dynamics only observed later, when the liquid is high enough.

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