Using Fractal Scaling and Two-Dimensional Particle Size Spectra to Calculate Coagulation Rates for Heterogeneous Systems
✍ Scribed by George A. Jackson
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 306 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0021-9797
No coin nor oath required. For personal study only.
✦ Synopsis
need not have a unique length associated with it. Aggregates Fractal scaling is usually presented as a relationship between formed in such systems should have the increasing porosity aggregate mass and length. Such scaling can also be expressed as as a function of size characteristic of fractal scaling. Unfortua relationship between the lengths of two particles that collide and nately, the scaling rules derived from monodisperse systems the length of the resulting aggregate. Emphasizing fractal scaling are not directly applicable to these systems.
as a geometric property allows the extension of fractal description
In the development of models describing coagulation and to aggregates composed of more than one type of source particle.
the dynamics of particle size spectra, particle mass and diam-In particular, it allows the development of more complete models eter are the two most important properties. Mass is usually of the role of coagulation in marine ecosystems. The classical agthe quantity of interest and is the property conserved in gregation equations can be modified to accommodate a two-dimensional particle size spectrum. This two-dimensional set of equa-particle interactions; length determines the interactions of a tions can be solved using a modification of the sectional approach. particle with its environment, including neighboring parti-Because moving to two-dimensions vastly increases the number of cles. Fractal scaling provides a means of calculating a partipossible interactions and makes solution more computationally cle's length from its mass for the initially monodisperse costly, simplifications that decrease the allowable interactions consystem but not for the heterodisperse system. siderably speed up the calculations for relatively little loss of accu-Models of aggregation in marine systems have empharacy.