Multiplicity patterns of inhomogeneous solutions in catalysts with self-inhibited reactions

TY - JOUR

T1 - Multiplicity patterns of inhomogeneous solutions in catalysts with self-inhibited reactions

AU - Hefer, D.

AU - Sheintuch, M.

N1 - Funding Information: work was supported Science Foundation.

PY - 1986

Y1 - 1986

N2 - A novel concept of effectiveness factor dependence on the length of a catalyst particle is suggested. Such behaviour emerges in sufficiently long catalysts when an inhomogeneous state is established in the uniformly exposed particle. The source of instability considered here is an endothermic reaction with reactant inhibition (e.g. a Langmuir-Hinshelwood expression). The asymmetry results from the large thermal to mass diffusivities ratio. The observable constant-length bifurcation diagrams are indistinguishable from those of lumped systems. Singular points in the two-dimensional bifurcation map may reveal the asymmetric nature of the solution. The identification of such points is of importance in the analysis of experiments. The assumptions made in the model can be justified on physicochemical grounds. That and the wide domain of stability of the inhomogeneities make the phenomenon a likely candidate for experimental verification.

AB - A novel concept of effectiveness factor dependence on the length of a catalyst particle is suggested. Such behaviour emerges in sufficiently long catalysts when an inhomogeneous state is established in the uniformly exposed particle. The source of instability considered here is an endothermic reaction with reactant inhibition (e.g. a Langmuir-Hinshelwood expression). The asymmetry results from the large thermal to mass diffusivities ratio. The observable constant-length bifurcation diagrams are indistinguishable from those of lumped systems. Singular points in the two-dimensional bifurcation map may reveal the asymmetric nature of the solution. The identification of such points is of importance in the analysis of experiments. The assumptions made in the model can be justified on physicochemical grounds. That and the wide domain of stability of the inhomogeneities make the phenomenon a likely candidate for experimental verification.

UR - http://www.scopus.com/inward/record.url?scp=2842592820&partnerID=8YFLogxK

U2 - 10.1016/0009-2509(86)85079-5

DO - 10.1016/0009-2509(86)85079-5

M3 - 文章

AN - SCOPUS:2842592820

SN - 0009-2509

VL - 41

SP - 2285

EP - 2298

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 9

ER -