Fick Solver

Online simulation of pure diffusion in homogeneous materials based on the numerical solution of Fick's second law.

Online simulation of Fickian diffusion of ions in homogeneous materials. Diffusion is calculated according to Fick's second Law. Method of Lines with uniform grid is used to transform partial differential equation (PDE) into set of ordinary differential equations (ODE). Resulting set of ODE is then solved using explicit Euler's method.

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Input Data
Charge
of ion
D
[m2/s]
Concentration in the left solutioncL
[mol/m3]
Initial membrane concentrationcM
[mol/m3]
Concentration in the right solutioncR
[mol/m3]
Component  1
Duration of the process s
Width of the sample m
Number of time intervals
Number of spatial points  
Calculations in progress:
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Results