Convective regimes in reactive fluid media due to the interaction with catalytic surfaces

Hendrik J. Viljoen, Jorge E. Gatica, Vladimir Hlavacek

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)274-284
Number of pages11
JournalPhysics of Fluids A
Volume1
Issue number2
DOIs
StatePublished - Jan 1 1989

Fingerprint

Fluids
fluids
interactions
Linear stability analysis
Galerkin methods
Galerkin method
Chemical reactions
chemical reactions
cavities
expansion
curves
predictions
approximation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Convective regimes in reactive fluid media due to the interaction with catalytic surfaces. / Viljoen, Hendrik J.; Gatica, Jorge E.; Hlavacek, Vladimir.

In: Physics of Fluids A, Vol. 1, No. 2, 01.01.1989, p. 274-284.

Research output: Contribution to journalArticle

Viljoen, Hendrik J. ; Gatica, Jorge E. ; Hlavacek, Vladimir. / Convective regimes in reactive fluid media due to the interaction with catalytic surfaces. In: Physics of Fluids A. 1989 ; Vol. 1, No. 2. pp. 274-284.
@article{8b3810b0a0a74012b22819132edbead9,
title = "Convective regimes in reactive fluid media due to the interaction with catalytic surfaces",
abstract = "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.",
author = "Viljoen, {Hendrik J.} and Gatica, {Jorge E.} and Vladimir Hlavacek",
year = "1989",
month = "1",
day = "1",
doi = "10.1063/1.857443",
language = "English (US)",
volume = "1",
pages = "274--284",
journal = "Physics of fluids. A, Fluid dynamics",
issn = "0899-8213",
publisher = "American Institute of Physics Publising LLC",
number = "2",

}

TY - JOUR

T1 - Convective regimes in reactive fluid media due to the interaction with catalytic surfaces

AU - Viljoen, Hendrik J.

AU - Gatica, Jorge E.

AU - Hlavacek, Vladimir

PY - 1989/1/1

Y1 - 1989/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0242316974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242316974&partnerID=8YFLogxK

U2 - 10.1063/1.857443

DO - 10.1063/1.857443

M3 - Article

AN - SCOPUS:0242316974

VL - 1

SP - 274

EP - 284

JO - Physics of fluids. A, Fluid dynamics

JF - Physics of fluids. A, Fluid dynamics

SN - 0899-8213

IS - 2

ER -