Marangoni Convection in a Photo-Chemically Reacting Liquid

Golovin, 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 -