Diffusion-Reaction in a Catalytic Particle

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This Demonstration solves the diffusion-reaction problem in a catalytic particle of rectangular shape. First-order kinetics are assumed and the chemical equation is , where is the reactant and , the product.

Contributed by: Jorge Gamaliel Frade Chávez (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The equations in this problem are the following:

mass balance (concentration)

; (1)

boundary conditions

, (2)

; (3)

initial condition

; (4)

=, (5)

with boundary conditions

, (6)

, (7)

and initial condition

. (8)

We can define

, , , ;

then for a dimensionless concentration,

, (9)

with the boundary conditions

, (10)

and , (11)

and initial condition

. (12)

For dimensionless temperature,

=, (13)

with boundary conditions

, (14)

, (15)

and initial condition

. (16)

Equations (9) to (16) are solved using the Mathematica command NDSolve for different parameters. It is possible to solve this problem using a collocation method.



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