A One-Dimensional Equivalent Model to Evaluate Overall Reaction Rates in Catalytic Pellets

Mariani, Néstor Javier; Keegan, Sergio Dario; Martı́nez, Osvaldo; Barreto, Guillermo Fernando

doi:10.1205/026387603322482266

Cited by 23 publications

(35 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Where (a) is lobule radius of the particle ( The 1D model consists of a control volume considering one-dimensional diffusion allowing mass transfer through a diffusion length of variable cross section area and a given value of the shape power ( Figure 1) [12][13][14]. Where (a) is lobule radius of the particle ( The 1D model consists of a control volume considering one-dimensional diffusion allowing mass transfer through a diffusion length of variable cross section area and a given value of the shape power ( Figure 1) [12][13][14].…”

Section: The 1d Modelmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of the Effectiveness Factor for a Tri-Lobular Catalyst on the Hydrodesulfurization of Diesel

Hernández¹,

Morales²,

Ramı́rez-López³

2009

International Journal of Chemical Reactor Engineering

View full text Add to dashboard Cite

Typical models to estimate effectiveness factors include sphere, cylinder, slab and strong internal diffusion limitations models. However, a reliable model for complex-irregular catalyst shapes is still lacking. Therefore in this work a new approach is proposed which makes simultaneous use of the 1D and GC models to approximate a 3D problem in order to determine the effectiveness factor of a trilobular catalytic on a HDS reaction involving diesel. The restrictive internal diffusion phenomena were examined at the cross-section of the catalyst including the effects of its shape. Simulation for the HDS reaction involved the consideration of a small scale reactor using industrial operating conditions. Effects of the intrinsic kinetic, considering strong internal diffusion effects, were calculated through well established computational algorithms. Mathematical simulations of the reaction effectiveness using a given feed-stock of diesel are described completely for a tri-lobular particle considering organic sulfur compound for molecular diffusion, pore size, shape and radial transport across the section of the catalyst and results were validated with models and data published in the literature of typical analysis.

show abstract

Section: The 1d Modelmentioning

confidence: 99%

“…The GC model is useful to analyze the reaction efectiveness influenced by the lobule, particle shape and depth inside the particle radius [12][13].…”

Section: Gc Modelmentioning

confidence: 99%

Simulation of the Effectiveness Factor for a Tri-Lobular Catalyst on the Hydrodesulfurization of Diesel

Hernández¹,

Morales²,

Ramı́rez-López³

2009

International Journal of Chemical Reactor Engineering

View full text Add to dashboard Cite

show abstract

“…(1) as a generalized transport equation to approximate the behavior of 3D catalytic pellets for any shape of a catalyst pellet. To approximate the behavior of a generic 3D pellet shape, the external surface area and volume of the model body are assumed to equal those of the actual pellet, S p and V p , and according to Mariani et al [12], σ is evaluated by matching the behavior of the actual pellet at low reaction rates. Some simple particle shapes can lead to high values of σ , as a circular cylinder with a height to diameter ratio 0.85 (σ = 3.25) or a cube (σ = 4.3).…”

Section: Introductionmentioning

confidence: 99%

“…The range of interest can be set as −1/5 < σ < 5. In this range, Mariani et al [12] found that the model is precise up to 0.7% for linear kinetics and they estimated that the deviations will not rise above 2% for nonlinear kinetics outside the range of steady state multiplicity. Therefore, the generalized model seems to be an accurate mean to avoid 3D evaluations for effective reaction-transport mechanisms.…”

Section: Introductionmentioning

confidence: 99%

“…In this way, it is apparent that the curvature effects, represented by the term x σ , are not accounted for in the derivation of the FD scheme (3) and (4). Non-standard FD schemes have been proposed to incorporate local and non-local information on the domain geometry [3][4][5][12][13][14]. Intuitively speaking, this can be done by observing that…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-standard finite-differences schemes for generalized reaction–diffusion equations

Alvarez-Ramı́rez

Valdés‐Parada

2009

Journal of Computational and Applied Mathematics

View full text Add to dashboard Cite

a b s t r a c tReaction-diffusion equations are commonly used in different science and engineering fields to describe spatial patterns arising from the interaction of chemical or biochemical reactions and diffusive transport mechanisms. In this work we design, in a systematic way, non-standard finite-differences (FD) schemes for a class of reaction-diffusion equations of the form 1, where σ is the shape power that accounts for the complexity of the domain geometry. The proposed FD scheme, that is derived from a Green's function formulation, replicates the underlying geometry and reduces to traditional FD schemes for sufficiently small values of the grid spacing. Numerical results show that the non-standard FD scheme offers smaller approximation errors with respect to traditional schemes, specially for coarse grids.

show abstract

Fixed‐bed gas–solid catalytic reactors

Lopes

Rodrigues

2016

Multiphase Catalytic Reactors

View full text Add to dashboard Cite

A One-Dimensional Equivalent Model to Evaluate Overall Reaction Rates in Catalytic Pellets

Cited by 23 publications

References 10 publications

Simulation of the Effectiveness Factor for a Tri-Lobular Catalyst on the Hydrodesulfurization of Diesel

Simulation of the Effectiveness Factor for a Tri-Lobular Catalyst on the Hydrodesulfurization of Diesel

Non-standard finite-differences schemes for generalized reaction–diffusion equations

Fixed‐bed gas–solid catalytic reactors

Contact Info

Product

Resources

About