Marangoni instability at a contaminated liquid-vapor interface of a burning thin film

Javier Armendáriz, Moshe Matalon

Research output: Contribution to journalArticle

Abstract

We consider the evaporation and subsequent burning of thin films of liquid fuels on which a nonsoluble surface active agent (surfactant) is present. This work complements a previous study where we have considered the same problem but in the absence of surfactant. Surfactant may result from impurities of the liquid fuel or from backward diffusion of unoxidized combustion intermediaries and heavy soot precursors. When burning occurs in a quiescent ambient, the mathematical problem can be systematically reduced to a pair of nonlinear evolution equations for the film's thickness and surfactant's concentration. These equations contain, in particular, the temperature and mass flux at the liquid-vapor interface as additional parameters, determined from full consideration of the gas-phase processes. We show that in the absence of combustion or, when the heat released by the chemical reactions is relatively small, thermo-capillary effects tend to destabilize a nominally planar interface. The presence of surfactant brings about a slower growth and can possibly stabilize the film. Combustion generally acts to reverse these trends: When the heat release is large, thermo-capillary effects stabilize the liquid-vapor interface while the presence of surfactant leads to destabilization.

Original languageEnglish (US)
Pages (from-to)1122-1130
Number of pages9
JournalPhysics of Fluids
Volume15
Issue number5
DOIs
StatePublished - May 1 2003
Externally publishedYes

Fingerprint

liquid-vapor interfaces
Surface active agents
Vapors
surfactants
Thin films
Liquids
thin films
liquid fuels
Liquid fuels
heat
nonlinear evolution equations
destabilization
soot
Soot
complement
Film thickness
Chemical reactions
chemical reactions
Evaporation
film thickness

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Marangoni instability at a contaminated liquid-vapor interface of a burning thin film. / Armendáriz, Javier; Matalon, Moshe.

In: Physics of Fluids, Vol. 15, No. 5, 01.05.2003, p. 1122-1130.

Research output: Contribution to journalArticle

@article{3a766ec3efc54cf1974f12541d89ffff,
title = "Marangoni instability at a contaminated liquid-vapor interface of a burning thin film",
abstract = "We consider the evaporation and subsequent burning of thin films of liquid fuels on which a nonsoluble surface active agent (surfactant) is present. This work complements a previous study where we have considered the same problem but in the absence of surfactant. Surfactant may result from impurities of the liquid fuel or from backward diffusion of unoxidized combustion intermediaries and heavy soot precursors. When burning occurs in a quiescent ambient, the mathematical problem can be systematically reduced to a pair of nonlinear evolution equations for the film's thickness and surfactant's concentration. These equations contain, in particular, the temperature and mass flux at the liquid-vapor interface as additional parameters, determined from full consideration of the gas-phase processes. We show that in the absence of combustion or, when the heat released by the chemical reactions is relatively small, thermo-capillary effects tend to destabilize a nominally planar interface. The presence of surfactant brings about a slower growth and can possibly stabilize the film. Combustion generally acts to reverse these trends: When the heat release is large, thermo-capillary effects stabilize the liquid-vapor interface while the presence of surfactant leads to destabilization.",
author = "Javier Armend{\'a}riz and Moshe Matalon",
year = "2003",
month = "5",
day = "1",
doi = "10.1063/1.1562939",
language = "English (US)",
volume = "15",
pages = "1122--1130",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics Publising LLC",
number = "5",

}

TY - JOUR

T1 - Marangoni instability at a contaminated liquid-vapor interface of a burning thin film

AU - Armendáriz, Javier

AU - Matalon, Moshe

PY - 2003/5/1

Y1 - 2003/5/1

N2 - We consider the evaporation and subsequent burning of thin films of liquid fuels on which a nonsoluble surface active agent (surfactant) is present. This work complements a previous study where we have considered the same problem but in the absence of surfactant. Surfactant may result from impurities of the liquid fuel or from backward diffusion of unoxidized combustion intermediaries and heavy soot precursors. When burning occurs in a quiescent ambient, the mathematical problem can be systematically reduced to a pair of nonlinear evolution equations for the film's thickness and surfactant's concentration. These equations contain, in particular, the temperature and mass flux at the liquid-vapor interface as additional parameters, determined from full consideration of the gas-phase processes. We show that in the absence of combustion or, when the heat released by the chemical reactions is relatively small, thermo-capillary effects tend to destabilize a nominally planar interface. The presence of surfactant brings about a slower growth and can possibly stabilize the film. Combustion generally acts to reverse these trends: When the heat release is large, thermo-capillary effects stabilize the liquid-vapor interface while the presence of surfactant leads to destabilization.

AB - We consider the evaporation and subsequent burning of thin films of liquid fuels on which a nonsoluble surface active agent (surfactant) is present. This work complements a previous study where we have considered the same problem but in the absence of surfactant. Surfactant may result from impurities of the liquid fuel or from backward diffusion of unoxidized combustion intermediaries and heavy soot precursors. When burning occurs in a quiescent ambient, the mathematical problem can be systematically reduced to a pair of nonlinear evolution equations for the film's thickness and surfactant's concentration. These equations contain, in particular, the temperature and mass flux at the liquid-vapor interface as additional parameters, determined from full consideration of the gas-phase processes. We show that in the absence of combustion or, when the heat released by the chemical reactions is relatively small, thermo-capillary effects tend to destabilize a nominally planar interface. The presence of surfactant brings about a slower growth and can possibly stabilize the film. Combustion generally acts to reverse these trends: When the heat release is large, thermo-capillary effects stabilize the liquid-vapor interface while the presence of surfactant leads to destabilization.

UR - http://www.scopus.com/inward/record.url?scp=0038606995&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038606995&partnerID=8YFLogxK

U2 - 10.1063/1.1562939

DO - 10.1063/1.1562939

M3 - Article

AN - SCOPUS:0038606995

VL - 15

SP - 1122

EP - 1130

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

ER -