A new outlook and a model of reactions in porous media

Otarod, Masood; Supkowski, Ronald M.

doi:10.1002/cjce.24255

Cited by 3 publications

(7 citation statements)

References 47 publications

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“…To continue with the averaging, we assume that the dependence on r for C p , P, and ∂ ln ϱ ∂ ln T P is negligible. With these assumptions, Equation ( 15) is somewhat simplified as Equation (16).…”

Section: Frequently Occurring Parametersmentioning

confidence: 99%

“…In a previous work, [16] it was shown that in packed beds, the concentration can be expressed as the product of the cup-mixing concentration and a variational function such as the one below:…”

Section: Peer Reviewmentioning

confidence: 99%

“…Another average model provides a simple equation for the study of heterogeneous reactions at steady state in isothermal integral reactors. [16] This article presents the cross sectional averaging of the momentum, continuity, and energy equations for axial flow in packed beds in their general form. The averaging of the conservation equations is a mapping of these equations from a three dimensional space of z, r, t ð Þ to the two dimensional space of z, t ð Þ as follows.…”

Section: Introductionmentioning

confidence: 99%

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Area averaging of packed bed in continua conservation equations in axial flow

Otarod

2024

Can J Chem Eng

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A novel averaging of the conservation equations for axial flow in packed beds is presented to express the momentum, continuity, and energy equations in terms of the cross‐sectional averages of concentration, temperature, and superficial velocity. The model integrates the radial fluctuations of the intrinsic variables into the partial differential equations of the model and presents a method for the design and analysis of catalytic reactors at a broad range of Reynolds numbers without the necessity of adjusting the operating conditions to minimize the impact of the radial profiles of velocity, concentration, and temperature. Since the control of the industrial reactors is dependent on the average values of the concentration and temperature, the model can be directly employed for design, optimization, and control processes with the added advantage of time and cost savings for both the numerical resolution and laboratory testing expenses. The model is limited to reaction systems with Péclet numbers of less than 700 with an average void fraction of for which the ratio of the bed length‐to‐particle diameter to particle Péclet number exceeds . The model was applied to the simulation of steam methane reforming (SMR). The results indicate that the average equations predict the responses of the SMR properly and thus the model could be reliably utilized for process design, operation, and control.

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Section: Frequently Occurring Parametersmentioning

confidence: 99%

Section: Peer Reviewmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Area averaging of packed bed in continua conservation equations in axial flow

Otarod

2024

Can J Chem Eng

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“…By taking into calculation the radial distribution of concentration, the factorization theorem factors out the cup-mixing concentration and provides for the transformation of the dispersion equation into the present model consisting of measurable average concentration and superficial velocity. [3] Stability criteria and convective mass transfer from the falling spherical drops, part I: Bingham plastic fluids Neelkanth Nirmalkar, Md J. Alam, Anoop K. Gupta…”

Section: Thierry Vincent Bruno Gaillet Alain Garniermentioning

confidence: 99%

“…There still remains the spatial distribution of concentration that cannot be computed by the pseudocontinuum models. By taking into calculation the radial distribution of concentration, the factorization theorem factors out the cup‐mixing concentration and provides for the transformation of the dispersion equation into the present model consisting of measurable average concentration and superficial velocity [3] …”

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confidence: 99%

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2022

Can J Chem Eng

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Validity, Verifiability, and Confirmability: A Critique of Multiphase Packed Bed Modeling

Otarod

2024

Modelling

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The pseudocontinuum models of reactions in packed beds are complicated, and an assessment of the reliability of the predictability of their numerical solution is difficult. The predictability reliability depends on validity and verifiability, whereas the numerical solutions of models of reactions in packed beds cannot be validated or verified. Scientific acceptability cannot commence by metaphysics alone, and the truth of the speculative justifications of the results of the numerical models without robust empirical confirmation is a matter of chance occurrence. Adherence to the principles of noncontradiction and mathematical consistency seems to be the minimal criterion if a pseudocontinuum model is to demonstrate a degree of reliability in prediction, simulation, and design. This article is an exposition of the verifiability, validity, and confirmability characteristics of multiphase multidimensional models of reactions in packed beds. It addresses the difficulties of validation and the complexities of construction of models of reactions in packed beds by modeling kinetic data directly to show that often the claims of validity, verifiability, or confirmability of the results of multidimensional or even one-dimensional models of chemical reactions in packed beds, in spite of robust statistical tools, should be viewed with some degree of skepticism.

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A new outlook and a model of reactions in porous media

Cited by 3 publications

References 47 publications

Area averaging of packed bed in continua conservation equations in axial flow

Area averaging of packed bed in continua conservation equations in axial flow

Issue Highlights

Validity, Verifiability, and Confirmability: A Critique of Multiphase Packed Bed Modeling

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