Convective regimes in reactive fluid media due to the interaction with catalytic surfaces
Author(s) -
Hendrik J. Viljoen,
Jorge E. Gatica,
Vladimír Hlaváček
Publication year - 1989
Publication title -
physics of fluids a fluid dynamics
Language(s) - English
Resource type - Journals
eISSN - 2163-5013
pISSN - 0899-8213
DOI - 10.1063/1.857443
Subject(s) - physics , convection , mechanics , marginal stability , stability (learning theory) , truncation (statistics) , fourier series , nonlinear system , galerkin method , instability , classical mechanics , fourier transform , mathematical analysis , statistics , mathematics , quantum mechanics , machine learning , computer science
Reactive fluid media enclosed in a cavity with a catalytic surface are analyzed. Nonisothermal chemical reactions on this surface can lead to convective instabilities. A simplified model is developed by using a low‐order truncation of a Fourier‐type expansion and employing the Galerkin method. A linear stability analysis is presented and it is shown that, under certain conditions, the marginal curve for the onset of oscillatory instabilities can lie below that for monotonic ones. The stability of the convective modes is studied by nonlinear stability analysis and it is shown how they can evolve into periodic and nonperiodic motion patterns. Numerical results are provided to support and confirm analytical predictions.
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