The determination of global solutions from local ones in catalytic systems showing steady-state multiplicity

Moshe Sheintuch

doi:10.1016/0009-2509(87)85031-5

The determination of global solutions from local ones in catalytic systems showing steady-state multiplicity

Moshe Sheintuch^*

^*Corresponding author for this work

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

11 Scopus citations

Abstract

The problem of constructing the steady-state solutions of the global (in the physical space) system, when local steady-state multiplicity is possible, repeats itself on various scales in heterogeneous catalytic reactors. This work presents a qualitative analysis that classifies this relation according to the physical system, the origin of steady-state multiplicity (thermokinetic, isothermal or truly kinetic) and the shape of the rate curve. A systematic approach for drawing the global observable bifurcation set from the local one is presented. The global features of a catalytic wire exposed to uniform conditions are usually identical to the local ones, i.e. inhomogeneities propagate out of the system. The existence of a global gradient in the adiabatic or isothermal heterogeneous plug-flow reactor or in the heterogeneous model of the catalytic pore adds one or even two stationary-front solutions. The latter problem, which accounts for adsorbate and fluid phases, applies only with truly kinetic multiplicity, and has not been considered earlier in the literature.

Original language	English
Pages (from-to)	2103-2114
Number of pages	12
Journal	Chemical Engineering Science
Volume	42
Issue number	9
DOIs	https://doi.org/10.1016/0009-2509(87)85031-5
State	Published - 1987
Externally published	Yes

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abstract = "The problem of constructing the steady-state solutions of the global (in the physical space) system, when local steady-state multiplicity is possible, repeats itself on various scales in heterogeneous catalytic reactors. This work presents a qualitative analysis that classifies this relation according to the physical system, the origin of steady-state multiplicity (thermokinetic, isothermal or truly kinetic) and the shape of the rate curve. A systematic approach for drawing the global observable bifurcation set from the local one is presented. The global features of a catalytic wire exposed to uniform conditions are usually identical to the local ones, i.e. inhomogeneities propagate out of the system. The existence of a global gradient in the adiabatic or isothermal heterogeneous plug-flow reactor or in the heterogeneous model of the catalytic pore adds one or even two stationary-front solutions. The latter problem, which accounts for adsorbate and fluid phases, applies only with truly kinetic multiplicity, and has not been considered earlier in the literature.",

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AB - The problem of constructing the steady-state solutions of the global (in the physical space) system, when local steady-state multiplicity is possible, repeats itself on various scales in heterogeneous catalytic reactors. This work presents a qualitative analysis that classifies this relation according to the physical system, the origin of steady-state multiplicity (thermokinetic, isothermal or truly kinetic) and the shape of the rate curve. A systematic approach for drawing the global observable bifurcation set from the local one is presented. The global features of a catalytic wire exposed to uniform conditions are usually identical to the local ones, i.e. inhomogeneities propagate out of the system. The existence of a global gradient in the adiabatic or isothermal heterogeneous plug-flow reactor or in the heterogeneous model of the catalytic pore adds one or even two stationary-front solutions. The latter problem, which accounts for adsorbate and fluid phases, applies only with truly kinetic multiplicity, and has not been considered earlier in the literature.

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The determination of global solutions from local ones in catalytic systems showing steady-state multiplicity

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