In this article, we report two sets of finite difference methods of order two and four over a rectangular domain for the efficient numerical integration of the system of two-dimensional nonlinear elliptic biharmonic problems of the second kind. Second-order derivatives of the solutions are obtained
Orthokinetic Aggregation in Two Dimensions of Monodisperse and Bidisperse Colloidal Systems
✍ Scribed by Peter H.F. Hansen; Martin Malmsten; Björn Bergenståhl; Lennart Bergström
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 190 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0021-9797
No coin nor oath required. For personal study only.
✦ Synopsis
Orthokinetic aggregation of colloids trapped at the air-liquid interface was studied by direct imaging in a couette cell. This method allowed us to follow the temporal evolution of both the cluster-mass distribution and the cluster structure at a shear rate where Brownian aggregation is suppressed. The interactions between the monodisperse latex particles floating at the air-liquid interface were controlled either by varying the electrolyte concentration or by creating a bidisperse system through the addition of small particles. The results show that the clusters in all of the systems are characterized by a high fractal dimension, indicating that the clusters are rearranged and densified by the shear. Kinetic analysis suggests that aggregation of monodisperse systems mainly proceeds through homogeneous aggregation, i.e., large clusters sticking to other large clusters. The bidisperse system, finally, with a size ratio around 10, favored a more heterogeneous aggregation among small and large clusters throughout the aggregation process; a slightly lower fractal dimension was observed compared to the strongly aggregated monodisperse system. Copyright 1999 Academic Press.
📜 SIMILAR VOLUMES
The "bottom-up" construction of functional structures relies on the sophisticated interplay between individual structural units. [1][2][3] In most cases, the assembly of these building blocks is based on noncovalent interactions that shape extended supramolecular entities in variable dimensions. [4]
## Abstract Two‐dimensional high performance liquid chromatography is a useful tool for proteome analysis, providing a greater peak capacity than single‐dimensional LC. The most popular 2D‐HPLC approach used today for proteomic research combines strong cation exchange and reversed‐phase HPLC. We ha