The use of eulerian initial conditions in a Lagrangian model of turbulent diffusion |
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| Affiliation: | 1. School of Chemistry, Chemical Engineering and Life Science, Wuhan University of Technology, Wuhan 430070, China;2. Foshan Xianhu Laboratory of the Advanced Energy Science and Technology Guangdong Laboratory, Xianhu Hydrogen Valley, Foshan 528200, China;1. Université de Lorraine, GeoRessources, CNRS, UMR 7359, 2 rue du Doyen Marcel Roubault, TSA 70605, France;2. Department of Materials Science and Engineering, School of Chemical Technology, Aalto University, Finland;1. Faculty of Polymer Engineering & Color Tech., Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran;2. Color and Polymer Research Center (CPRC), Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran;3. Institute for Nanoscience and Nanotechnology, Sharif University of Technology, P.O. Box 14588-89694, Tehran, Iran;4. Department of Chemistry and Materials Science, School of Chemical Engineering, Aalto University, P.O. Box 16100, FI-00076, Espoo, Finland;1. Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, College of Civil Engineering, Shenzhen University, Shenzhen, China;2. Division of Building Technology, Chalmers University of Technology, Sweden |
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| Abstract: | Plumes from a finite-size, finite-duration source are analyzed by using the random-force or Langevin equation model of turbulent diffusion. Initial conditions at the source are expressed in terms of the Eulerian space-time velocity autocorrelation function. Simple analytic solutions are obtained for the relative diffusion, meandering and total diffusion. |
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