Modeling Riemann–Liouville fractional differential equations for diffusion and reaction in fractal porous media

Zhang, Peng; Li, Ping; Xiu, Guohua; Rodrigues, Alírio E.

doi:10.1007/s10910-020-01209-z

J Math Chem

2021

DOI: 10.1007/s10910-020-01209-z

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Modeling Riemann–Liouville fractional differential equations for diffusion and reaction in fractal porous media

Peng Zhang

Ping Li

Guohua Xiu³

et al.

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2023

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Cited by 3 publications

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“…[8][9][10] Though mathematical modelling has been performed for prediction and simulation of reaction systems, only a few modelling have been reported by considering core-shell particles. [11][12][13][14][15][16] Thus, it is still challenging to develop mathematical descriptions of series reactions catalyzed by core-shell pellets with various morphologies.…”

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confidence: 99%

Modelling of catalytic reactors containing core–shell pellets with various morphologies for series reactions

Cho¹

2023

Can J Chem Eng

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Modelling of series reactions was performed for core–shell catalysts. Mathematical solutions of concentrations inside the pellets were derived from reaction–diffusion equations considering inert‐core thickness (ξc) for first‐order kinetics. Transient behaviours of catalytic reactors containing core–shell pellets were predicted, assuming pseudo‐steady state approximation. In a batch reactor, the removal rate of reactants increased with increasing Thiele modulus and decreasing ξc in the order of sphere > cylinder > slab. The transient concentration of the intermediate product was maximum and affected by the distribution coefficient, diffusivity ratio, particle shape, and ξc. In a continuously stirred tank reactor, the concentration was affected by feed rate and catalyst loading, and conversion could be enhanced by a cascade connection. In a fixed‐bed reactor, the concentration increased with increasing ξc due to an insufficient catalyst volume. Péclet number and particle shape also affected the concentration, implying that axial dispersion and interfacial area are important design parameters.

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confidence: 99%

Modelling of catalytic reactors containing core–shell pellets with various morphologies for series reactions

Cho¹

2023

Can J Chem Eng

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On Existence and Asymptotic Behavior of Positive Solutions for a Fractional Order Differential System Involving Riemann–Liouville Derivatives

Turki

2023

Differ Equ Dyn Syst

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Modeling of Porous Catalytic Pellets with Various Morphologies Suspended in Batch Reactor and CSTR from Analytical Solutions of Reaction-Diffusion Equations

Cho

2023

Journal of Chemical Engineering of Japan

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Modeling Riemann–Liouville fractional differential equations for diffusion and reaction in fractal porous media

Cited by 3 publications

References 35 publications

Modelling of catalytic reactors containing core–shell pellets with various morphologies for series reactions

Modelling of catalytic reactors containing core–shell pellets with various morphologies for series reactions

On Existence and Asymptotic Behavior of Positive Solutions for a Fractional Order Differential System Involving Riemann–Liouville Derivatives

Modeling of Porous Catalytic Pellets with Various Morphologies Suspended in Batch Reactor and CSTR from Analytical Solutions of Reaction-Diffusion Equations

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