Stability of the Ignited State in Packed-Bed Reactor

H. J. Viljoen; R. C. Everson

doi:10.1002/aic.690420419

Stability of the Ignited State in Packed-Bed Reactor

H. J. Viljoen, R. C. Everson

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The ignited state is associated with a thin reaction zone and a steep temperature gradient ahead of the front. The stability of this front is analyzed for small radial and azimuthal perturbations. The near-equidiffusional assumption is made, and the deviation of the Lewis number from unity is considered as the bifurcation parameter. The analysis shows that the planar front becomes unstable at Lewis numbers above unity after a Hopf bifurcation. The oscillatory front collapses into hot spots or rings which oscillate around the axial axis. For Lewis numbers less than one, a steady-state cellular front structure is found.

Original language	English (US)
Pages (from-to)	1088-1094
Number of pages	7
Journal	AIChE Journal
Volume	42
Issue number	4
DOIs	https://doi.org/10.1002/aic.690420419
State	Published - Apr 1996

ASJC Scopus subject areas

Biotechnology
Environmental Engineering
Chemical Engineering(all)

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AB - The ignited state is associated with a thin reaction zone and a steep temperature gradient ahead of the front. The stability of this front is analyzed for small radial and azimuthal perturbations. The near-equidiffusional assumption is made, and the deviation of the Lewis number from unity is considered as the bifurcation parameter. The analysis shows that the planar front becomes unstable at Lewis numbers above unity after a Hopf bifurcation. The oscillatory front collapses into hot spots or rings which oscillate around the axial axis. For Lewis numbers less than one, a steady-state cellular front structure is found.

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Stability of the Ignited State in Packed-Bed Reactor

Abstract

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