扩展的Langmuir法在低电位平板型颗粒相互作用中的应用

带电颗粒双电层之间相互作用力和能的表达式在很多工业过程的模拟和优化等方面有着广泛的应用。给出了两个平行平板颗粒处在恒电位条件时,相互作用力和相互作用能的简单计算方法。虽然这是对Poisson-Boltzmann方程在高电位情况下进行非线性简化的一个结果,然而由于它和低电位时的电位变化特点是相似的,所以适用于低电位条件下相互作用力和相互作用能的计算。由于保持了Poisson-Boltzmann方程非线性的原型,所以当颗粒之间的距离小的时候,它对高、低电位的等同平行平板型颗粒都是适用的,和精确的计算机数值解的比较表明,它的近似程度是令人满意的。

Application of the Extended Langmuir's Method Between Two Flat Plates Particles With Low Surface Potential

Simple and accurate expressions for the electrical double-layer interaction force and energy between the particles have a wide application in simulation and optimization of many processes employed in industry.A simple method for calculating the interaction force and interaction energy per unit area between two parallel flat plates particles in the case of constant surface potential was presented. Although this approximation is essentially from the simplifying of non-linear Poisson-Boltzmann equation in the case of high surface potentials,it is similar to the case of low surface potential and can also apply to this case.For it keeps a constant prototype of non-linear Poisson-Boltzmann equation,when the distance between two particles is small,these approximate expressions work quite well for all values of the surface potentials of parallel flat plates.By contrast with exact values of computer numerical,its degree of approximation is satisfactory.