## Published In

Physics of Fluids

## Document Type

Article

## Publication Date

8-2012

## Subjects

Fluid mechanics, Capillarity -- Mathematical models, Fluid dynamics

## Abstract

Capillarity-driven flows resulting from critical geometric wetting criterion are observed to yield significant shifts of the bulk fluid from one side of the container to the other during "zero gravity" experiments. For wetting fluids, such bulk shift flows consist of advancing and receding menisci sometimes separated by secondary capillary flows such as rivulet-like flows along gaps. Here we study the mean curvature of an advancing meniscus in hopes of approximating a critical boundary condition for fluid dynamics solutions. It is found that the bulk shift flows behave as if the bulk menisci are either “connected” or "disconnected." For the connected case, an analytic method is developed to calculate the mean curvature of the advancing meniscus in an asymptotic sense. In contrast, for the disconnected case the method to calculate the mean curvature of the advancing and receding menisci uses a well-established procedure. Both disconnected and connected bulk shifts can occur as the first tier flow of more complex compound capillary flows. Preliminary comparisons between the analytic method and the results of drop tower experiments are encouraging.

## DOI

10.1063/1.4749816

## Persistent Identifier

http://archives.pdx.edu/ds/psu/11346

## Citation Details

Chen, Y., Tavan, N., & Weislogel, M. M. (2012). A mean curvature model for capillary flows in asymmetric containers and conduits. Physics Of Fluids, 24(8), 082111. doi:10.1063/1.4749816

## Description

This is the publisher's final PDF. Copyright 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

The following article appeared in

Physics of Fluids,24(8), 082111 and may be found at http://scitation.aip.org/content/aip/journal/pof2/24/8/10.1063/1.4749816