Analysis of annular bed reactor for methanation of carbon monoxide

Davis, M. E.; Yamanis, John

doi:10.1002/aic.690280215

Cited by 16 publications

(11 citation statements)

References 19 publications

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“…For all the numerical solutions considered in this study, the following parameters for the direct problem are used [4]: …”

Section: Resultsmentioning

confidence: 99%

“…The following physical problem [4] is utilized to illustrate the methodology in developing the expressions for use to estimate the reaction rate function for an ABR. This reaction model mixed carbon monoxide (CO) and hydrogen (H 2 ) to produce methane (CH 4 ) and water (H 2 O).…”

Section: Direct Problemmentioning

confidence: 99%

“…Therefore, Davis and Yamanis [4] analyzed the ABR for methanation of carbon monoxide to produce methane. They found that the exact conversion rose with the increase in bed thickness for a given reactor length.…”

Section: Introductionmentioning

confidence: 99%

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A Non-linear Inverse Problem in Estimating the Reaction Rate Function for an Annular-Bed Reactor

Huang

2014

International Journal of Chemical Reactor Engineering

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The conjugate gradient method, or iterative regularization method, based inverse algorithm is utilized in this work to predict the unknown concentration-dependent reaction rate function for an annular-bed reactor (ABR) using interior measurements of concentration distributions. Since no prior information on the functional form of unknown reaction rate is available, it can be classified as function estimation for the inverse calculation. The validity and accuracy of this inverse ABR problem are examined using the simulated exact and inexact concentration measurements in the numerical experiments. Results show that the estimation of the concentration-dependent reaction rate function can be obtained within a very short CPU time on an Intel Xeon Core 2 2.00 GHz personal computer, and reliable estimations can still be obtained when measurement errors are considered.

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“…For all the numerical solutions considered in this study, the following parameters for the direct problem are used [4]: …”

Section: Resultsmentioning

confidence: 99%

Section: Direct Problemmentioning

confidence: 99%

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A Non-linear Inverse Problem in Estimating the Reaction Rate Function for an Annular-Bed Reactor

Huang

2014

International Journal of Chemical Reactor Engineering

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“…

Λ_{r} (r) = {\begin{matrix} center λ_{normalbulk} \\ center1 λ_{normalnear normalwall} \end{matrix}

according to Ahmed and Fahien based on Argo and Smith (listed in )…”

Section: Classification Of Model Approachesmentioning

confidence: 99%

Modeling and Validating Fixed‐Bed Reactors: A State‐of‐the‐Art Review

2019

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Modeling of heat and mass transfer in fixed‐bed reactors for heterogeneously catalyzed gas phase reactions is possible using different methods. Homogeneous and heterogeneous continuum models as well as particle resolved modeling of fixed‐bed reactors show high potential for application. Considering those approaches, advantages and disadvantages as well as underlying assumptions and boundary conditions are discussed. Additionally, methods for experimental validation are presented and discussed focusing on the two‐dimensional homogeneous models.

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“…As an example of a problem containing interfaces, we outline the solution of the material balance equation of the annular bed reactor [6]. the core, where the inert packing promotes radial transport to the catalyst bed.…”

Section: Uz or Ormentioning

confidence: 99%

Equations in one space variable

John

1990

Nonlinear Wave Equations, Formation of Singularities

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Equations in One Space Variable INTRODUCTIONIn Chapt~r 1 we discussed methods for solving IVPs, whereas in Chapters 2 and 3 boundary-value problems were treated. This chapter combines the techniques from these chapters to solve parabolic partial differential equations in one space variable. CLASSifiCATION Of PARTIAL DiffERENTIAL EQUATIONSConsider the most general linear partial differential equation of the second order in two independent variables: To each of the equations (4.1) we must adjoin appropriate subsidiary relations, called boundary and/or initial conditions, which serve to complete the formulation of a "meaningful problem." These conditions are related to the domain in which (4.1) is to be solved. METHOD OF LINESConsider the diffusion equation: Discretize the spatial derivative in (4.4) using finite differences to obtain the following system of ordinary differential equations: In the MOL, the boundary conditions are incorporated into the discretization in the x-direction while the initial condition is used to start the associated IVP.

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Analysis of annular bed reactor for methanation of carbon monoxide

Cited by 16 publications

References 19 publications

A Non-linear Inverse Problem in Estimating the Reaction Rate Function for an Annular-Bed Reactor

A Non-linear Inverse Problem in Estimating the Reaction Rate Function for an Annular-Bed Reactor

Modeling and Validating Fixed‐Bed Reactors: A State‐of‐the‐Art Review

Equations in one space variable

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