Diffusion in One Dimension
Diffusion in One Dimension
The equation for unsteady-state diffusion is =Dc, where is the distance and 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 is determined as a function of the distance , the diffusion coefficient , and time .
∂c
∂t
2
∂
∂
2
x
x
c
c(x,t)=exp
c
0
2
πDt
-
2
x
4Dt
x
D
t