Abstract
The structure of some aerosols manifests fractal characteristics. The usefulness of the fractal dimension of crimped fibres and complex aerosol fineparticles is outlined. The concept of the Sierpinski fractal of filter structure is presented and the relationship of the fractal dimensions of filters and deposited capture trees of fineparticles is discussed.
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References
The theories of fractal geometry were first presented to the English speaking world by Benoit Mandelbrot in the book he wrote entitled “Fractals: Form, Chance and Dimension”, W. Freeman, San Francisco, 1977. Mandelbrot expanded this original essay concerning his ideas into a book which he considers to be the definitive description of his ideas and which is specified in reference 2.
B.B. Mandelbrot, “Fractal Geometry of Nature”, W.H. Freeman, San Francisco, 1983.
B.H. Kaye, “A Randomwalk Through Fractal Dimensions”, VCH Publishers, Weinheim, West Germany, 1989.
B.H. Kaye, Characterizing the significant structural features of hazardous dusts (in preparation).
B.H. Kaye, Characterizing the structure of fumed pigments using the concepts of fractal geometry, in preparation.
T. Vicsek, “Fractal Growth Phenomena”, published by World Scientific Publishing Company, New Jersey, 1989.
R. Jullien, and R. Botet, “Aggregation and Fractal Aggregates”, World Scientific Publishing Company, New Jersey, 1987.
B.H. Kaye, N.I. Robb, G.G. Clark, Mathematical models of depth filters and their characterization from the perspective of fractal geometry, (in preparation).
L.A. Clarenburg, and H.W. Piekkar, Aerosol filters — pore size distribution in fibrous filters, Chem. Eng., 22, 1399–1408 (1967).
Personal communication with D. Ensor, Research Triangle Institute, Research Triangle Park, North Carolina, 1985.
The pictures of the simulated filters are taken from “Fractal Geometric Description of Filters and the Filtration Process”., G.G. Clark, M.Sc thesis, Laurentian University, Canada. (in preparation).
R. Trottier, G.G. Clark, and A. Hoffman, Fractal characterization of experimental and simulated dendritic capture tree growths in filter systems, paper presented at the American Association for Aerosol Research, Reno, Nevada, USA, October 9–13, 1989.
D.S. Ensor, and M.E. Mullins, The fractal nature of dendrites formed by the collection of particles on fibres, Part.Charact., 2, 77–78 (1985).
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© 1990 Springer Science+Business Media New York
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Kaye, B.H. (1990). Describing Filters and Filtration Processes Using the Concepts of Fractal Geometry. In: Mittal, K.L. (eds) Particles in Gases and Liquids 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3544-1_4
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DOI: https://doi.org/10.1007/978-1-4899-3544-1_4
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