A general theory of single-pulse state-defining experiments for a multi-zon
e TAP (temporal analysis of products) reactor, is developed using the Lapla
ce transform formalism: the theory gives explicit expressions for the momen
ts of the outlet flux, series expansions for the transient values of this f
lux, and offers an efficient means to compute the actual profiles of gas co
ncentration in the reactor and the values of the outlet flux numerically, u
sing e.g. Fast Fourier Transform. The central concept of the theory is the
global transfer matrix equation, which determines completely the dynamic be
havior of the reactor. Using efficient computer algebra methods. the theory
generates previous theoretical results reported in the literature for all
the known TAP-reactor configurations, and yields new results related to the
reversible adsorption/reaction-diffusion case and the thin-zone case. It c
an be used for further theoretical studies in the area of diffusion/reactio
n dynamics. (C) 2001 Published by Elsevier Science Ltd. All rights reserved
.