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March 14th, 2011, 08:10 AM   #1
Joined: Mar 2011

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Time evolution of a diffusion equation

Hallo everyone,

I have a 1-D diffusion equation with decay as
dA/dt = d2A/dx2-L*A

with initial condition A(x,t=0)=A0= K*exp(-ax), K= constant,
and boundary condition= -DdA/dx = b(constant) (t > 0)

where L= decay constant
A = certain concentration
D = diffusion coefficient

One can solve the above equation for equilibrium putting dA/dt=0.

The equilibrium concentration can be reached in time t.

How can I determine the time that it takes to reach equilibrium concentration?

Thank you

help would be greatly appriciated
juliousceasor is offline  

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