Diffusion-Reaction in a Catalytic Particle

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.

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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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