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Vega_04.pdf
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Mancebo
Francisco J.

Vega de Prada
JosÃ© Manuel
Weakly Nonuniform Thermal Effects in a Porous Catalyst: Asymptotic Models and Local Nonlinear Stability of the Steady States.
pub
 matematicas
porous catalysts, weakly nonlinear stability, normal form
This paper considers a firstorder, irreversible exothermic reaction in a bounded porous catalyst, with smooth boundary, in one, two, and three space dimensions. It is assumed that the characteristic reaction time is sufficiently small for the chemical reaction to be confined to a thin layer near the boundary of the catalyst, and that the thermal diffusivity is large enough for the temperature to be uniform in the reaction layer, but that it is not so large as to avoid significant thermal gradients inside the catalyst. For appropriate realistic limiting values of the several nondimensional parameters of the problem, several timedependent asymptotic models are derived that account for the chemical reaction at the boundary (that becomes essentially impervious to the reactant), heat conduction inside the catalyst, and exchange of heat and reactant with the surrounding unreacted fluid. These models possess asymmetrical steady states for symmetric shapes of the catalyst, and some of them exhibit a rich dynamic behavior that includes quasiperiodic phenomena. In one case, the linear stability of the steady states, and also the local bifurcation to quasiperiodic solutions via center manifold theory and normal form reduction, are analyzed.
199210
published
SIAM  Society for Industrial and Applied Mathematics
http://www.jstor.org/stable/view/2102307
public
SIAM Journal on Applied Mathematics
52
5
12381259
Aeronauticos
Fundamentos
TRUE
00361399
byncnd