6533b870fe1ef96bd12cfa76

RESEARCH PRODUCT

A finite-difference method for numerical solution of the steady-state nernst—planck equations with non-zero convection and electric current density

Javier GarridoVicente M. AguilellaJulio PellicerSalvador Mafe

subject

Steady stateChemistryNumerical analysisFinite difference methodMineralogyFiltration and SeparationMechanicsBiochemistrysymbols.namesakesymbolsGeneral Materials ScienceNernst equationBoundary value problemElectric potentialPhysical and Theoretical ChemistryElectric currentCurrent density

description

Abstract A computer algorithm has been developed for digital simulation of ionic transport through membranes obeying the Nernst—Planck and Poisson equations. The method of computation is quite general and allows the treatment of steady-state electrodiffusion equations for multiionic environments, the ionic species having arbitrary valences and mobilities, when convection and electric current are involved. The procedure provides a great flexibility in the choice of suitable boundary conditions and avoids numerical instabilities which are so frequent in numerical methods. Numerical results for concentration and electric potential gradient profiles are presented in the particular case of the ternary system NaClHClH2O.

yearjournalcountryeditionlanguage
1986-09-01Journal of Membrane Science
https://doi.org/10.1016/s0376-7388(00)82206-1