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WOLFRAM|DEMONSTRATIONS PROJECT

Diffusion in One Dimension

time
diffusion coefficient D
amplitude concentration
C
0
filling
The equation for unsteady-state diffusion is
c
t
=D
2
c
2
x
, where
x
is the distance and
c
is the solute concentration. This Demonstration plots the time-evolution of the concentration profile in the solute, for varying coefficient of diffusion and concentration amplitude.The diffusion function
c(x,t)=
c
0
2
πDt
exp
-
2
x
4Dt
is determined as a function of the distance
x
, the diffusion coefficient
D
, and time
t
.
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