Geodesic
Marangoni Convection in a Photo-Chemically Reacting Liquid
A. A. Golovin1 ; V. A. Volpert1
1 Department of Engineering Sciences and Applied Mathematics Northwestern University, Evanston, IL 60208, USA
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 1, pp. 27-54.

Voir la notice de l'article provenant de la source EDP Sciences

Marangoni convection caused by a photochemical reaction of the type A 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.
DOI : 10.1051/mmnp:2008032

A. A. Golovin 1 ; V. A. Volpert 1

1 Department of Engineering Sciences and Applied Mathematics Northwestern University, Evanston, IL 60208, USA 
@article{MMNP_2008_3_1_a1,
     author = {A. A. Golovin and V. A. Volpert},
     title = {Marangoni {Convection} in a {Photo-Chemically} {Reacting} {Liquid}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {27--54},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2008},
     doi = {10.1051/mmnp:2008032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008032/}
}
TY  - JOUR
AU  - A. A. Golovin
AU  - V. A. Volpert
TI  - Marangoni Convection in a Photo-Chemically Reacting Liquid
JO  - Mathematical modelling of natural phenomena
PY  - 2008
SP  - 27
EP  - 54
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008032/
DO  - 10.1051/mmnp:2008032
LA  - en
ID  - MMNP_2008_3_1_a1
ER  - 
%0 Journal Article
%A A. A. Golovin
%A V. A. Volpert
%T Marangoni Convection in a Photo-Chemically Reacting Liquid
%J Mathematical modelling of natural phenomena
%D 2008
%P 27-54
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008032/
%R 10.1051/mmnp:2008032
%G en
%F MMNP_2008_3_1_a1
A. A. Golovin; V. A. Volpert. Marangoni Convection in a Photo-Chemically Reacting Liquid. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 1, pp. 27-54. doi : 10.1051/mmnp:2008032. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008032/

Cité par Sources :