An Inverse Problem Approach to Extract the Growth Kernel in Particulate Processes
An Inverse Problem Approach to Extract the Growth Kernel in Particulate Processes
复制标题
提取颗粒过程中生长核的反问题方法
DOI：
10.3182/20100705-3-be-2011.00067
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
S. Engell
中科院分区：
文献类型：
--
作者：
Ala Bouaswaig;S. Engell
摘要颗粒过程的数学模型通常包括一个粒子数平衡方程来描述粒径分布的动力学过程。粒子数平衡方程的结构在所有的颗粒过程模型中都是相同的，颗粒之间的特定物理和化学相互作用由单个核来描述。通常的第一原理建模是用来开发的内核，但在这种情况下，这是棘手的，反问题技术已经提出了在文献中提取的内核从实验数据。在这项工作中，我们介绍了一种方法，可用于提取的增长内核。这种方法是适用的，即使当假设的可分离的增长率，已经在以前的方法不成立，当凝固与已知的动力学和增长同时发生。
Abstract Mathematical models of particulate processes usually include a population balance equation to describe the dynamics of the size distribution. The structure of the population balance equation is the same in all models of particulate processes and the specific physical and chemical interaction of the particles is described by individual kernels. Usually first principles modeling is used to develop the kernels, but in cases in which this is intractable, inverse problem techniques have been proposed in the literature to extract the kernels from experimental data. In this work we introduce an approach that can be used for extracting the growth kernel. This approach is applicable even when the assumption of separable growth rate that has been made in previous approaches does not hold and when coagulation with known dynamics and growth are taking place simultaneously.