Software Publications For Students Links About Author
PL
EN
Software → NPP for thin membranes
The content of this page is available under the Creative Commons Attribution-ShareAlike License. Valid XHTML 1.0 Transitional Valid CSS! Last modified: 3rd of July 2018
Modelling ISE
Phase Boundary Model
Diffusion Layer Model
Nernst-Planck-Poisson Model
Liquid Junction Potential
Modelling diffusion
Fick Solver
Inverse Problem
Fick+Reaction Solver
NPP for thin membranes

NPP for thin membranes

Nernst-Planck-Poisson Model for the description of electrodiffusion in thin membranes. It allows obtaining the potential and concentration profiles inside the membrane.

The Nernst-Planck equation relates the flux of ions to diffusion and migration processes and the Poisson equation describes the electric field occurring due to the movement of ions in the system. Software uses Chang-Jaffe boundary conditions for concentrations and Dirichlet boundary conditions for potential.

Begin with the input data for following system:          
loading
Input Data
Boundary conditions:
Number of ions in the system:
Charge
of ion z
Diffusion coefficient D
[m2/s]
Concentration in the left solutioncL
[mol/m3]
Initial membrane concentrationcM
[mol/m3]
Concentration in the right solutioncR
[mol/m3]
 Rate  of entering  the membranekin
[m/s]
 Rate  of leaving   the membranekout
[m/s]
Ion  1
Potential at the left boundary mV
Potential at the right boundary mV
Duration of the process s
Timestep
Width of the membrane nm
Number of spatial points
Temperature K
Dielectric permittivity F/m
Calculations in progress:
0%
Results

See the data values used in the plots