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