Abstract

Mass transfer rates across catalytic memb rane interfaces accompanied by first-order, irreversible reactions have been investigated. The catalyst particles impregnated in the membrane mat rix are assumed to be very fine, nanometer-sized particles which are uniformly distributed in the structure of the membrane layer. Pseudo-homogeneous models have been developed to describe mass transport through this catalytic membrane layer. The models developed include the mass transport into and inside the catalytic part icles as well as through the memb rane layer taking into account convective and diffusive flows, so it is also valid in the limiting cases namely without convective flow (Pe=0), or with very large convective flow (Pe >> 1). The models describe two operating modes (with and without sweep phase on the permeate side of the catalytic memb rane layer) and apply two different boundary conditions for the feed boundary layer. One of the boundary conditions approaches the diffusive flow by the Fickian one assuming linear concentration distribution while the other one solves exactly the mass transport in the feed boundary layer. The different model results obtained are compared to each other proving the importance of the carefully decision of the operating modes and boundary conditions. The mathematical model has been verified by means of experimental data taken fro m the literature.

Highlights

  • The catalytic memb rane reactor as a pro mising novel t ech no log y is widely reco mmend ed fo r carry ing out heterogeneous reactions

  • The pseudo-homogeneous model will be presented in detail, assuming that the catalyst particles are in the nanometer-sized range, as this is the case in most catalytic memb rane reactors

  • The main purpose of this paper is to present the various steps of the mathemat ical solutions, as well as to study the effect of mass transport parameters of the catalyt ic memb rane layer on the mass transfer rates

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Summary

Introduction

The catalytic memb rane reactor as a pro mising novel t ech no log y is widely reco mmend ed fo r carry ing out heterogeneous reactions. Nagy analysis the effect of the convective velocity on the enzyme catalysed reaction[13] as well as summarizes the most important mass transport equations of a memb rane layer taking into account the simultaneous effect of the convective and diffusive flows[14,15]. These papers extend previous investigations by including the effect of convective flow, applying two different operating modes, namely with and without sweep phase on the permeate side as well as two different models, namely an approaching and the exact models. The pseudo-homogeneous model will be presented in detail, assuming that the catalyst particles are in the nanometer-sized range, as this is the case in most catalytic memb rane reactors

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