Statistical Distributions for Transient Transport

TL;DR

This paper develops statistical distribution techniques based on transport differential equations to distinguish between diffusion modes in transient kinetic experiments, enhancing analysis accuracy under noisy conditions.

Contribution

It introduces novel statistical methods for analyzing transient TAP reactor data to differentiate Knudsen and non-Knudsen diffusion in catalytic systems.

Findings

Distinguishes diffusion modes using statistical fingerprints.

Identifies transition domain between diffusion types.

Provides accurate transport parameters despite noise.

Abstract

This paper introduces the use of statistical distributions based on transport differential equations for clear distinction of transport modes within transient kinetic experiments. More specifically,novel techniques are developed for the transient data obtained through the Temporal Analysis of Products (TAP) reactor. The methodology allows distinguishing between two domains of diffusion transport in heterogeneous catalytic systems, i.e., Knudsen and non-Knudsen diffusion, using statistical fingerprints, and finding the transition domain. Two distribution parameters were obtained that directly result in coefficients that correspond to the concentration and the rate of transport. Using a linear relationship between the rate and concentration coefficients, Knudsen diffusion is revealed when the rate of transport is constant and non-Knudsen diffusion is confirmed when the rate of transport coefficient is a function of the concentration coefficient. As a result, accurate transport information is obtained while in the presence of instrument drift or noise while investigating higher pressure pulse responses. As such, experiments where the influence of gas phase reactions can be more directly studied.