By applying Input/Output renormalization and the Green function formalism to the discrete formulation of transport phenomena on graphs, we develop exact recursion for the effectiveness factor for first-order reaction in a fractal porous catalyst. The scaling of the effectiveness factor vs the Thiele modulus is obtained in the case of finitely ramified fractals and discussed in detail. Crossover phenomena in hierarchical and heterogeneous fractal pore-network models and renormalization recursion for integral quantities are also analyzed.
First-order kinetics in fractal catalysts: Renormalization analysis of the effectiveness factor / Giona, Massimiliano; W. A., Schwalm; Adrover, Alessandra; M. K., Schwalm. - In: CHEMICAL ENGINEERING SCIENCE. - ISSN 0009-2509. - 51:10(1996), pp. 2273-2282. (Intervento presentato al convegno 14th International Symposium on Chemical Reaction Engineering - From Fundamentals to Commercial Plants and Products tenutosi a BRUGGE, BELGIUM nel MAY 05-08, 1996) [10.1016/0009-2509(96)00084-x].
First-order kinetics in fractal catalysts: Renormalization analysis of the effectiveness factor
GIONA, Massimiliano;ADROVER, Alessandra;
1996
Abstract
By applying Input/Output renormalization and the Green function formalism to the discrete formulation of transport phenomena on graphs, we develop exact recursion for the effectiveness factor for first-order reaction in a fractal porous catalyst. The scaling of the effectiveness factor vs the Thiele modulus is obtained in the case of finitely ramified fractals and discussed in detail. Crossover phenomena in hierarchical and heterogeneous fractal pore-network models and renormalization recursion for integral quantities are also analyzed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.