The spectral theory is presented which describes the concentration of a disperse system as a random spatial field. A representation for the spectral density of the concentration fluctuations is derived. As an example, local flows of a fluid, filtrating through a random particulate bed, caused by the
On the fluctuations of concentration in disperse systems The random number of particles in a fixed volume
โ Scribed by Yu.A. Buyevich
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 607 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
The statistical theory is presented which describes the number of particles in some volume of a concentrated disperse system, this number being a random function of time. This theory is a natural generalization of the Smoluchowski's statistics developed for Brownian movement of independent particles on the systems of high concentration. In particular, the expressions for the dispersion of that number, its Eulerian correlation function and for other quantities are obtained which can be used for estimation of the residence time of particles within the given volume of a fluidised bed, etc.
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