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Titel |
Particle pair diffusion of inertial particles such as dust in the atmosphere |
VerfasserIn |
Nadeem Malik, Yoseph Tereda, Syed Usama |
Konferenz |
EGU General Assembly 2016
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Medientyp |
Artikel
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Sprache |
en
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 18 (2016) |
Datensatznummer |
250127393
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Publikation (Nr.) |
EGU/EGU2016-7264.pdf |
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Zusammenfassung |
The transport of particles in turbulent flows is ubiquitous in industrial applications and also in nature such as in dust storms and pollens. The mathematical equations that describe the motion of individual inertial particles (i.e. particles with weight and friction) is not fully developed yet, although simplified descriptions in specific contexts have been proposed, such as by Maxey and Riley [1].
The relative motion of groups of particles is equally important to understand, and this can usually be related to the relative motion of two particles, or pair diffusion. In 1926 Richardson [2] proposed a pioneering theory of pair diffusion of fluid particles based upon the idea of a separation dependent pair diffusivity, $K(l)$, where $l$ is the distance between two particles. Richardson advanced the theory based on a locality hypothesis in which only energy in the turbulent scales similar to the pair separation $l$ is effective in further increasing the pair separation, leading to the famous 4/3-scaling, $K\sim l^{4/3}$. Recent studies in turbulent particle pair diffusion [3] has suggested that both local and non-local effects govern the pair diffusion process inside the inertial subrange in high Reynolds number turbulence containing generalised power-law energy spectra, $E(k)\sim k^{-p}$ with $1 |
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