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

|View full text |Cite

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

Peng Zhang

Ping Li

Guohua Xiu³

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

(1 citation statement)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[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.…”

mentioning

confidence: 99%

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

Cho¹

2023

Can J Chem Eng

View full text Add to dashboard Cite

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.

show abstract

mentioning

confidence: 99%

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

Cho¹

2023

Can J Chem Eng

View full text Add to dashboard Cite

show abstract

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

Turki

2023

Differ Equ Dyn Syst

View full text Add to dashboard Cite

Optimal controls for multi-term fractional stochastic integro-differential equations with impulses and infinite delay

Ansari,

Malik,

Dhayal

2024

International Journal of Systems Science

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

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

Cited by 5 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

Optimal controls for multi-term fractional stochastic integro-differential equations with impulses and infinite delay

Contact Info

Product

Resources

About