CHEMICALLY DRIVEN CONVECTION - A SIMPLE-MODEL

Citation
M. Diewald et Hr. Brand, CHEMICALLY DRIVEN CONVECTION - A SIMPLE-MODEL, Chemical physics letters, 216(3-6), 1993, pp. 566-570
Citations number
22
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
Journal title
ISSN journal
00092614
Volume
216
Issue
3-6
Year of publication
1993
Pages
566 - 570
Database
ISI
SICI code
0009-2614(1993)216:3-6<566:CDC-AS>2.0.ZU;2-5
Abstract
Within the framework of a two species reaction-diffusion model coupled to the hydrodynamic equations we discuss how a chemical reaction driv es convective motion in a fluid layer. The model has an oscillatory in stability with vanishing wavenumber at onset. We derive from the model equations an envelope equation of Ginzburg-Landau type with complex c oefficients. To cubic order in the envelope the generated convective v elocity is slaved to the concentration variables and has no independen t dynamics. Feedback from the flow in the chemical reaction arises at higher orders in the amplitude. We compare our results with existing e xperimental data.