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Generalized emptying criteria for finite-lengthed capillary

Gopal Verma1, Chaudry S. Saraj1,2, Gyanendra Yadav3, Subhash C. Singh1,4, and Chunlei Guo4,*

  • 1GPL, Changchun Institute of Optics, Fine Mechanics, and Physics, Chinese Academy of Sciences, Changchun 130033, China
  • 2University of Chinese Academy of Science, Beijing 100039, China
  • 3School of Physical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom
  • 4The Institute of Optics, University of Rochester, Rochester, New York 14627, USA

  • *Corresponding author; guo@optics.rochester.edu
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Phys. Rev. Fluids 5, 112201(R) – Published 25 November, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.112201

Abstract

When a partially filled glass is gently tilted, the liquid can go over its brim without spilling. This happens because of the surface tension and has a direct indication when studying the emptying of a partially filled capillary by modifying the present mathematical criteria of critical emptying. Here, we present an experimental study of the edge effect on emptying a finite-lengthed horizontal capillary, a condition that has never been studied before. We observed that due to the edge meniscus from the finite length of the capillary, critical emptying conditions are significantly altered. Furthermore, by optimizing the edge parameters and the brim wetting effect, water can hold onto much wider capillary brims. We performed numerical simulations using realistic geometries and found excellent agreements with our experimental results. Our results generalize the capillary emptying criterion so that they can be used in realistic geometries and provide guidance in understanding a wide range of phenomena in microfluidics and optofluidics.

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Outline

Information

Phys. Rev. Fluids 5, 112201(R)– Published 25 November, 2020
  • Received 5 June 2020
  • Accepted 30 October 2020
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