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    Modeling of Transport and Reaction

    in a Catalytic Bed Using a CatalystParticle Model.Florent Allain (speaker), Anthony G. Dixon

    Worcester Polytechnic Institute - Chemical

    Eng. Dpt. , Worcester, MA, USA

    COMSOL Conference 2010 BostonPresented at the

    http://www.comsol.com/conf_cd_2011_us
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    Packed bed reactors: COconversion, MSR reaction, Benzeneconversion to cyclohexane

    Characterized by N=ratio betweenbed and particle diameter,

    Usual model: pseudo-

    heterogeneous, effectiveness factorHigh N

    Our model: pseudo-heterogeneous,diffusion in the solid particles.

    Background

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    Our model (1)

    Fluid equations:

    Solid equations:

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    Boundary conditions:

    Fluid phase:

    Convective fluxes for C and T

    Axis symmetry for C and T

    Our model (2)

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    Boundary conditions:

    Solid phase:

    Axis symmetry

    Our model (3)

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    Chemical eng. module

    Fluid equations: 2D Convection

    conduction/diffusion Solid equations: 3D

    Conduction/diffusion

    Extrusion coupling variablesfrom one geometry to the other.

    Implementation in COMSOL 3.5

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    First case: CO conversion over copper-chromitecatalyst. N=11.

    CO inlet concentration of 0.5 mol/m3,

    O2 considered constant (30.6 mol/m3) in the

    fluid and solid, Constant wall temperature of 385K.

    Test case - Statement

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    Temperature profile Fluid (K) Temperature profile Solid (K)

    Test case Results (1)

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    CO concentration profile Fluid(mol/m3)

    CO concentration profile Solid(mol/m3)

    Test case Results (2)

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    Machac et al. 2006 Present study

    Hot spot in the center, at z= 2

    Hot spot temperature: 475 K

    Temperature differencesolid/fluid, r=0.5: 20K

    Effective inlet concentration:

    around 0.45mol/m3

    Hot spot in the center, at z=

    2.5 Hot spot temperature: 440 K

    Temperature differencesolid/fluid, r=0.5: 43K

    Effective inlet concentration:

    0.414 mol/m3

    Test case - Comparison

    Similar profiles for both concentration and temperature in the fluid phase.

    Need to get better coefficient for conduction/diffusion in the solid.

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    MSR reactions. N=6

    Reaction rates from Hou et Hughes. The kineticsof methane steam reforming over a Ni/[alpha]-

    Al2O catalyst. Chemical Engineering Journal(2001)

    Data from simulations by Johnson Matthey.

    Study case - Statement

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    Temperature profile Fluid (K) Temperature profile Solid (K)

    Test case Results (1)

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    H2 concentration profile Fluid(mol/m3)

    H2 concentration profile Solid(mol/m3)

    Test case Results (2)

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    Good agreement in the test case with literature,

    Model applicable to more complex reactions,

    Need to reevaluate the heat and mass transfer

    coefficient for MSR reaction, for both fluid andsolid phase.

    Conclusion

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    The Donors of the American Chemical SocietyPetroleum Research Fund

    COMSOL

    Acknowledgments