Author : Colleen S. O'Brien
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (539 download)
Book Synopsis A Mathematical Model for Colloidal Aggregation by : Colleen S. O'Brien
Download or read book A Mathematical Model for Colloidal Aggregation written by Colleen S. O'Brien and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: The total particle interaction energy necessary for the calculation of stability ratios is represented by the summation of electrostatic and van der Waals interactions. The electrostatic interactions are modeled using DLVO theory, the linear Poisson-Boltzmann equation, and a numerical solution for the non-linear Poisson-Boltzmann Equation, while the van der Waals interactions are represented by Hamaker theory. The mathematical model is solved using an adjustable discretion technique, which is tested against a specific analytic solution, and yields an assessment of the error intrinsic in the discretization method. The basis of the mathematical model is a population balance framework. The model developed in this study is general in many respects, but could be readily applied to many different aggregation systems with minor modification.