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Rounded-corners-induced re-entrant non-occlusion in a horizontal tube

Published online by Cambridge University Press:  24 January 2024

Dongwen Tan Open the ORCID record for Dongwen Tan [Opens in a new window]  and
Xinping Zhou Open the ORCID record for Xinping Zhou [Opens in a new window]
Dongwen Tan
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China
Xinping Zhou*
Affiliation:
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China
*
†Email address for correspondence: [email protected]
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Abstract

Keeping a tube from being plugged by a fluid is an important process in applications. An interesting re-entrant phenomenon for the capillary state with the occluding state sandwiching the non-occluding state from both the high- and low-Bond-number regions can appear by inserting a rod into a horizontal tube at an eccentric position (Tan et al., J. Fluid Mech, vol. 946, 2022, A7). Containers with rounded corners are very common. We theoretically investigate a situation for a horizontal open tube with rounded corner(s). The results show that a re-entrant non-occlusion at a contact angle can also appear without the insertion of any object. The competition between the rounded corner wetting/non-wetting effect and gravity effect can lead to a re-entrant non-occlusion. The re-entrant non-occlusion is affected by the shape and orientation of the rounded corner(s). For a tube with only one rounded corner, the re-entrant non-occlusion exists when the rounded corner has a not-so-large corner radius and is not in a landscape orientation. For a tube with two (or more) rounded corners, the corner(s) with the strongest corner effect will determine the existence or non-existence of the re-entrant non-occlusion. This paper provides an effective scheme for designing a high-performance capillary with corners that are not easily occluded by a fluid and removing fluid blockage from a capillary in optofluidic/microfluidic applications.

JFM classification

Interfacial Flows (free surface): Capillary flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 979 , 25 January 2024 , A49
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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References

Bhatnagar, R. & Finn, R. 2016 On the capillarity equation in two dimensions. J. Math. Fluid Mech. 18, 731–738.CrossRefGoogle Scholar
Brakke, K.A. 1992 The surface evolver. Exp. Maths 1, 141–165.CrossRefGoogle Scholar
Chen, Y. & Collicott, S.H. 2004 Investigation of the symmetric wetting of vane-wall gaps in propellant tanks. AIAA J. 42, 305–314.CrossRefGoogle Scholar
Chen, Y. & Collicott, S.H. 2006 Study of wetting in an asymmetrical vane-wall gap in propellant tanks. AIAA J. 44, 859–867.CrossRefGoogle Scholar
Concus, P. & Finn, R. 1969 On the behavior of a capillary surface in a wedge. Proc. Natl Acad. Sci. USA 63, 292–299.CrossRefGoogle Scholar
Concus, P. & Finn, R. 1987 Continuous and discontinuous disappearance of capillary surfaces. In Variational Methods for Free Surface Interfaces (ed. Concus, P. & Finn, R.), pp. 197–204. Springer.CrossRefGoogle Scholar
Concus, P. & Finn, R. 1990 Dichotomous behavior of capillary surfaces in zero gravity. Microgravity Sci. Technol. III (2), 87–92.Google Scholar
Concus, P. & Finn, R. 1992 On accurate determination of contact angle. In Microgravity Fluid Mechanics (ed. Rath, H.J.), pp. 19–28. International Union of Theoretical and Applied Mechanics. Springer.CrossRefGoogle Scholar
Finn, R. 1986 Equilibrium Capillary Surfaces. Springer.CrossRefGoogle Scholar
Fischer, B.S. & Finn, R. 1993 Existence theorems and measurement of the capillary contact angle. Z. Anal. Anwend. 12, 405–423.CrossRefGoogle Scholar
Manning, R., Collicott, S. & Finn, R. 2011 Occlusion criteria in tubes under transverse body forces. J. Fluid Mech. 682, 397–414.CrossRefGoogle Scholar
Manning, R.E. & Collicott, S.H. 2015 Existence of static capillary plugs in horizontal rectangular cylinders. Microfluid Nanofluid 19, 1159–1168.CrossRefGoogle Scholar
Mirski, M.A., Lele, A.V., Fitzsimmons, L. & Toung, T.J.K. 2007 Diagnosis and treatment of vascular air embolism. Anesthesiology 106, 164–177.CrossRefGoogle ScholarPubMed
Parry, A.O., Rascón, C., Jamie, E.A.G. & Aarts, D.G.A.L. 2012 Capillary emptying and short-range wetting. Phys. Rev. Lett. 108 (24), 246101.CrossRefGoogle ScholarPubMed
Pour, N.B. & Thiessen, D.B. 2019 Equilibrium configurations of drops or bubbles in an eccentric annulus. J. Fluid Mech. 863, 364–385.CrossRefGoogle Scholar
Rascón, C., Parry, A.O. & Aarts, D.G.A.L. 2016 Geometry-induced capillary emptying. Proc. Natl Acad. Sci. USA 113, 12633–12636.CrossRefGoogle ScholarPubMed
Smedley, G. 1990 Containments for liquids at zero gravity. Microgravity Sci. Technol. 3, 13–23.Google Scholar
Tan, D., Zhou, X., Zhang, G., Zhu, C. & Fu, C. 2022 Eccentricity effect on horizontal capillary emptying. J. Fluid Mech. 946, A7.CrossRefGoogle Scholar
Verma, G., Saraj, C.S., Yadav, G., Singh, S.C. & Guo, C. 2020 Generalized emptying criteria for finite-lengthed capillary. Phys. Rev. Fluids 5, 112201(R).CrossRefGoogle Scholar
Zhang, F.Y., Yang, X.G. & Wang, C.Y. 2006 Liquid water removal from a polymer electrolyte fuel cell. J. Electrochem. Soc. 153, A225–A232.CrossRefGoogle Scholar
Zhou, X., Zhang, G., Zhu, C., Tan, D. & Fu, C. 2021 Inside rod induced horizontal capillary emptying. J. Fluid Mech. 924, A23.CrossRefGoogle Scholar
Zhu, C., Zhou, X. & Zhang, G. 2020 Capillary plugs in horizontal rectangular tubes with non-uniform contact angles. J. Fluid Mech. 901, R1.CrossRefGoogle Scholar
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