Modeling of Fractional Diffusion on a Catalytic Particle under Different Flow Conditions

Alfredo Raúl Carella; Carlos Alberto Dorao

doi:10.4028/www.scientific.net/DDF.323-325.121

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Modeling of Fractional Diffusion on a Catalytic Particle under Different Flow Conditions
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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vols. 323-325Modeling of Fractional Diffusion on a Catalytic...

Modeling of Fractional Diffusion on a Catalytic Particle under Different Flow Conditions

Abstract:

Coupling diffusion and convection of species is relevant for optimization of diverse engineering processes, especially when chemical reactions are involved. In particular, the problem of predicting the flow of species into a particle is of large importance in the design of catalytic particles. A numerical framework using the Least Squares Spectral Element Method is implemented in order to analyze the species transport from a flow into a particle by a fractional constitutive law. The aim of this work is to investigate the qualitative change in the concentration profiles in the transition from Fickian to fractional anomalous transport inside the particle. A sample case is provided corresponding to a flow between two parallel plates and around a cylinder, coupled with species transport into the cylinder.

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Periodical:

Defect and Diffusion Forum (Volumes 323-325)

Pages:

121-126

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.323-325.121

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Online since:

April 2012

Authors:

Alfredo Raúl Carella, Carlos Alberto Dorao

Keywords:

Anomalous Transport, Fractional Derivative, Fractional Diffusion, Least Square (LS), Riemann Liouville Derivative, Spectral Element Method

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