Time-domain solutions of unsteady-state mass transfer models for biporous catalyst in a continuous-flow gradientless reactor
✍ Scribed by Dong Hyun Kim; Kun Soo Chang
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 977 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
Time-domain analytic solutions by operator method for the models described by a set of partial differential equations (models 1 and 2) for unsteady-state. mass transfer in a continuous-flow gradientless reactor containing bidisperse porous catalysts are presented. In the models, diffusions in macropores and micropores, adsorption with linear isotherm, and a first-order irreversible reaction are taken into account. Also the input disturbance is allowed to be an arbitrary function of time. The solutions are obtained by self-adjoint formalism in linear operator theory and represented by eigenfunction expansions in an inner product space (Hilbert space). The solutions converge rapidly for typical operating conditions of the reactor, providing a useful means for analyzing as well as designing experiments for estimation of macropore and micropore diffusivities of a biporus catalyst.