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Reaction-Diffusion Equations for an Autocatalytic Reaction

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time t
1
diffusivity δ
10
rate constant ρ
10
This Demonstration shows the behavior of a reaction-diffusion system in which an autocatalytic reaction takes place.
Consider the reaction scheme
A+B2B
with rate of reaction
r=ρ
C
A
2
C
B
, where
C
A
and
C
B
are the reactant concentrations and
ρ
is the reaction rate constant. The reaction takes place in a capillary tube of length
2L
filled with a fluid separated by an impermeable membrane. Half of the tube's length contains reactant
A
and the other half contains reactant
B
. The membrane is removed at time
t=0
and the reaction-diffusion process begins. The plots of functions
C
A
and
C
B
are shown for user-selected values of time
t
, diffusivity
δ
, and reaction rate constant
ρ
.
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