Slug self-propulsion in a capillary tube mathematical modeling and numerical simulation
type: Item
instance of: scholarly article
title: Slug self-propulsion in a capillary tube mathematical modeling and numerical simulation
zbMATH Open document ID: 1457.76172
DOI: 10.1155/2016/1234642
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: A composite droplet made of two miscible fluids in a narrow tube generally moves under the action of capillarity until complete mixture is attained. This physical situation is analysed here on a combined theoretical and numerical analysis. The mathematical framework consists of the two-phase flow phase-field equation set, an advection-diffusion chemical concentration equation, and closure relationships relating the surface tensions to the chemical concentration. The numerical framework is composed of the COMSOL Laminar two-phase flow phase-field method coupled with an advection-diffusion chemical concentration equation. Through transient studies, we show that the penetrating length of the bidroplet system into the capillary tube is linear at early-time regime and exponential at late-time regime. Through parametric studies, we show that the rate of penetration of the bidroplet system into the capillary tube is proportional to a time-dependent exponential function. We also show that this speed obeys the Poiseuille law at the early-time regime. A series of position, speed-versus-property graphs are included to support the analysis. Finally, the overall results are contrasted with available experimental data, grouped together to settle a general mathematical description of the phenomenon, and explained and concluded on this basis.
Mathematics Subject Classification ID: 76T06
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 6675502
zbMATH Keywords: two-phase liquid flow
zbMATH Keywords: advection-diffusion chemical concentration
zbMATH Keywords: COMSOL package
zbMATH Keywords: interfacial surface tension
Wikidata QID: Q59122188
author: M. Irshad Khodabocus
author: M. Sellier
author: Volker Nock
describes a project that uses: COMSOL
describes a project that uses: EWOD
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1234642
OpenAlex ID: W2545477485
cites work: Self-propelling slugs
cites work: Thermocapillary migration of an attached drop on a solid surface
cites work: Thermocapillary migration of a two-dimensional liquid droplet on a solid surface
cites work: Thermocapillary actuation of liquid flow on chemically patterned surfaces
cites work: PRINCIPLES OF MICROFLUIDIC ACTUATION BY MODULATION OF SURFACE STRESSES
cites work: Gravity-driven slug motion in capillary tubes
cites work: Sharp-interface limit of the Cahn–Hilliard model for moving contact lines
cites work: Calculation of two-phase Navier-Stokes flows using phase-field modeling
cites work: Models for Marangoni drying
cites work: On Marangoni drying: nonlinear kinematic waves in a thin film
description: scientific article; zbMATH DE number 6675502