Lim Jongil, Whitcomb John, Boyd James, Varghese Julian
Department of Aerospace Engineering, Texas A & M University, College Station, TX 77843, USA.
J Colloid Interface Sci. 2007 Jan 1;305(1):159-74. doi: 10.1016/j.jcis.2006.08.049. Epub 2006 Aug 30.
A finite element implementation of the transient nonlinear Nernst-Planck-Poisson (NPP) and Nernst-Planck-Poisson-modified Stern (NPPMS) models is presented. The NPPMS model uses multipoint constraints to account for finite ion size, resulting in realistic ion concentrations even at high surface potential. The Poisson-Boltzmann equation is used to provide a limited check of the transient models for low surface potential and dilute bulk solutions. The effects of the surface potential and bulk molarity on the electric potential and ion concentrations as functions of space and time are studied. The ability of the models to predict realistic energy storage capacity is investigated. The predicted energy is much more sensitive to surface potential than to bulk solution molarity.
本文提出了瞬态非线性能斯特-普朗克-泊松（NPP）模型和能斯特-普朗克-泊松-修正斯特恩（NPPMS）模型的有限元实现。NPPMS模型使用多点约束来考虑有限离子尺寸，即使在高表面电位下也能得到实际的离子浓度。泊松-玻尔兹曼方程用于对低表面电位和稀溶液的瞬态模型进行有限检验。研究了表面电位和本体摩尔浓度对作为空间和时间函数的电势和离子浓度的影响。研究了这些模型预测实际储能容量的能力。预测能量对表面电位的敏感性远高于对本体溶液摩尔浓度的敏感性。
