STEADY STATE AND PSEUDO-TRANSIENT ELECTRIC POTENTIAL USING THE POISSONBOLTZMANN EQUATION

Brazilian Journal of Chemical Engineering

L. C. Dos Santos¹  F. W. Tavares¹  A. R. Secchi¹  E. C. Biscaia Jr.¹  V. R. R. Ahón¹ 

关键词: Electric Potential;    Poisson-Boltzmann;    Finite Difference;   

DOI  :  10.1590/0104-6632.20150321s00001653

来源: SciELO

【 摘 要 】

A method for analysis of the electric potential profile in saline solutions was developed for systems with one or two infinite flat plates. A modified Poisson-Boltzmann equation, taking into account nonelectrostatic interactions between ions and surfaces, was used. To solve the stated problem in the steady-state approach the finite-difference method was used. For the formulated pseudo-transient problem, we solved the set of ordinary differential equations generated from the algebraic equations of the stationary case. A case study was also carried out in relation to temperature, solution concentration, surface charge and salt-type. The results were validated by the stationary problem solution, which had also been used to verify the ionic specificity for different salts. The pseudo-transient approach allowed a better understanding of the dynamic behavior of the ion-concentration profile and other properties due to the surface charge variation.

【 授权许可】

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