Thermocapillary effect on the absolute and convective instabilities of film flows down a fibre

Rong Liu; Zijing Ding; Zhiqiang Zhu

doi:10.1016/j.ijheatmasstransfer.2017.05.030

Thermocapillary effect on the absolute and convective instabilities of film flows down a fibre

Rong Liu, Zijing Ding, Zhiqiang Zhu

Research output: Contribution to journal › Article (Academic Journal) › peer-review

19 Citations (Scopus)

Abstract

Abstract We consider the motion of a gravity-driven flow down a uniformly heated vertical fibre. This flow exhibits rich dynamics including the formation of droplets, or beads, driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the thermocapillarity at the interface. A spatio-temporal stability analysis is performed to investigate the effect of thermocapillarity (Marangoni effect) on the convective/absolute instability (CI/AI) characteristics of the problem. We also performed a numerical simulation of Eq. (30) on the nonlinear evolution of the film to connect the breakup behaviours with the CI/AI characteristics. Our numerical results showed that for various Marangoni number (Ma), breakup of the film mainly occurs in the AI regime. With the increase of Ma, the film has a tendency to break up into droplets due to the enhancement of the absolute instability.

Original language	English
Pages (from-to)	918-925
Number of pages	8
Journal	International Journal of Heat and Mass Transfer
Volume	112
Early online date	19 May 2017
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2017.05.030
Publication status	Published - Sept 2017

Keywords

Film flow
Marangoni effect
Absolute and convective instabilities

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title = "Thermocapillary effect on the absolute and convective instabilities of film flows down a fibre",

abstract = "Abstract We consider the motion of a gravity-driven flow down a uniformly heated vertical fibre. This flow exhibits rich dynamics including the formation of droplets, or beads, driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the thermocapillarity at the interface. A spatio-temporal stability analysis is performed to investigate the effect of thermocapillarity (Marangoni effect) on the convective/absolute instability (CI/AI) characteristics of the problem. We also performed a numerical simulation of Eq. (30) on the nonlinear evolution of the film to connect the breakup behaviours with the CI/AI characteristics. Our numerical results showed that for various Marangoni number (Ma), breakup of the film mainly occurs in the AI regime. With the increase of Ma, the film has a tendency to break up into droplets due to the enhancement of the absolute instability.",

keywords = "Film flow, Marangoni effect, Absolute and convective instabilities",

author = "Rong Liu and Zijing Ding and Zhiqiang Zhu",

year = "2017",

month = sep,

doi = "10.1016/j.ijheatmasstransfer.2017.05.030",

language = "English",

volume = "112",

pages = "918--925",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier",

}

TY - JOUR

T1 - Thermocapillary effect on the absolute and convective instabilities of film flows down a fibre

AU - Liu, Rong

AU - Ding, Zijing

AU - Zhu, Zhiqiang

PY - 2017/9

Y1 - 2017/9

N2 - Abstract We consider the motion of a gravity-driven flow down a uniformly heated vertical fibre. This flow exhibits rich dynamics including the formation of droplets, or beads, driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the thermocapillarity at the interface. A spatio-temporal stability analysis is performed to investigate the effect of thermocapillarity (Marangoni effect) on the convective/absolute instability (CI/AI) characteristics of the problem. We also performed a numerical simulation of Eq. (30) on the nonlinear evolution of the film to connect the breakup behaviours with the CI/AI characteristics. Our numerical results showed that for various Marangoni number (Ma), breakup of the film mainly occurs in the AI regime. With the increase of Ma, the film has a tendency to break up into droplets due to the enhancement of the absolute instability.

AB - Abstract We consider the motion of a gravity-driven flow down a uniformly heated vertical fibre. This flow exhibits rich dynamics including the formation of droplets, or beads, driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the thermocapillarity at the interface. A spatio-temporal stability analysis is performed to investigate the effect of thermocapillarity (Marangoni effect) on the convective/absolute instability (CI/AI) characteristics of the problem. We also performed a numerical simulation of Eq. (30) on the nonlinear evolution of the film to connect the breakup behaviours with the CI/AI characteristics. Our numerical results showed that for various Marangoni number (Ma), breakup of the film mainly occurs in the AI regime. With the increase of Ma, the film has a tendency to break up into droplets due to the enhancement of the absolute instability.

KW - Film flow

KW - Marangoni effect

KW - Absolute and convective instabilities

U2 - 10.1016/j.ijheatmasstransfer.2017.05.030

DO - 10.1016/j.ijheatmasstransfer.2017.05.030

M3 - Article (Academic Journal)

SN - 0017-9310

VL - 112

SP - 918

EP - 925

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

ER -

Thermocapillary effect on the absolute and convective instabilities of film flows down a fibre

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Keywords

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