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Liquid plug formation from heated binary mixtures in capillary tubes

Published online by Cambridge University Press:  24 February 2020

Cunjing Lv Open the ORCID record for Cunjing Lv [Opens in a new window] ,
Subramanyan N. Varanakkottu  and
Steffen Hardt Open the ORCID record for Steffen Hardt [Opens in a new window]
Cunjing Lv
Affiliation:
Institute for Nano- and Microfluidics, Technische Universität Darmstadt, 64287Darmstadt, Germany Department of Engineering Mechanics, Tsinghua University, 100084Beijing, China
Subramanyan N. Varanakkottu
Affiliation:
Department of Physics, National Institute of Technology Calicut, 673601Kozhikode, Kerala, India
Steffen Hardt*
Affiliation:
Institute for Nano- and Microfluidics, Technische Universität Darmstadt, 64287Darmstadt, Germany
*
†Email address for correspondence: [email protected]
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Abstract

We study the formation of liquid plugs in a vertical heated tube in contact with a reservoir filled with a binary liquid mixture. Various morphologies, such as liquid films, rings and plugs, are observed. A key phenomenon is the transition between a liquid ring and a plug, which is described using the concept of a quasi-static minimal energy surface that becomes unstable when the liquid volume exceeds a specific value. The critical diameter of the liquid ring and the volume and the position of the formed plug are obtained from an analytical model. The inner diameter of the liquid ring obeys a $d_{l}\sim (t_{0}-t)^{0.57\pm 0.02}$ scaling law shortly before forming a plug at time $t_{0}$. The height of the liquid column created develops according to $X\sim (t-t_{0})^{0.5\pm 0.01}$ in the first moments. The subsequent time evolution is described by a damped harmonic oscillator based on a scaling analysis. The discoveries presented in this work could be of great importance for our understanding of thermally induced interfacial phenomena in confined space.

JFM classification

Interfacial Flows (free surface): Capillary flows Interfacial Flows (free surface): Thin films Phase change: Condensation/evaporation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 889 , 25 April 2020 , A15
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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