# Marangoni Convection in a Photo-Chemically Reacting Liquid

Mathematical Modelling of Natural Phenomena (2008)

- Volume: 3, Issue: 1, page 27-54
- ISSN: 0973-5348

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topGolovin, A. A., and Volpert, V. A.. "Marangoni Convection in a Photo-Chemically Reacting Liquid." Mathematical Modelling of Natural Phenomena 3.1 (2008): 27-54. <http://eudml.org/doc/222320>.

@article{Golovin2008,

abstract = {
Marangoni convection caused by a photochemical reaction of the type A $\stackrel\{h\nu\}\{\rightleftharpoons\}$ B in a deep liquid layer is studied. Linear stability analysis is performed and the conditions
for Marangoni convection to occur are obtained. It is shown that increasing the rate of the
direct reaction, for example, by increasing the light intensity, destabilizes the steady state
and causes convective motion of the fluid, whereas increasing the rate of the inverse reaction
stabilizes the steady state. A weakly nonlinear analysis of the problem is performed that
gives conditions for hexagonal convective patters to occur. It is shown that, in the case of
small light absorption length, the hexagonal cells correspond to "down"-hexagons.},

author = {Golovin, A. A., Volpert, V. A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {Marangoni convection; photochemical reaction; stability analysis; nonlinear
analysis; nonlinear analysis},

language = {eng},

month = {7},

number = {1},

pages = {27-54},

publisher = {EDP Sciences},

title = {Marangoni Convection in a Photo-Chemically Reacting Liquid},

url = {http://eudml.org/doc/222320},

volume = {3},

year = {2008},

}

TY - JOUR

AU - Golovin, A. A.

AU - Volpert, V. A.

TI - Marangoni Convection in a Photo-Chemically Reacting Liquid

JO - Mathematical Modelling of Natural Phenomena

DA - 2008/7//

PB - EDP Sciences

VL - 3

IS - 1

SP - 27

EP - 54

AB -
Marangoni convection caused by a photochemical reaction of the type A $\stackrel{h\nu}{\rightleftharpoons}$ B in a deep liquid layer is studied. Linear stability analysis is performed and the conditions
for Marangoni convection to occur are obtained. It is shown that increasing the rate of the
direct reaction, for example, by increasing the light intensity, destabilizes the steady state
and causes convective motion of the fluid, whereas increasing the rate of the inverse reaction
stabilizes the steady state. A weakly nonlinear analysis of the problem is performed that
gives conditions for hexagonal convective patters to occur. It is shown that, in the case of
small light absorption length, the hexagonal cells correspond to "down"-hexagons.

LA - eng

KW - Marangoni convection; photochemical reaction; stability analysis; nonlinear
analysis; nonlinear analysis

UR - http://eudml.org/doc/222320

ER -

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