Turbulent Diffusion of Inertial Particle Pairs

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Turbulent Diffusion of Inertial Particle Pairs Such As in Pollen and Sandstorms Syed M. Usama and Nadeem A. Malik Department of Mathematics &Statistics, King Fahd University of Petroleum & Minerals, Saudi Arabia namalik@kfupm.edu.sa and nadeem_malik@cantab.net 6th International Conference on Turbulent Mixing and Beyond, The Abdus Salam ICTP, Trieste, Italy. 14-18 August 2017 References [1] Bec, J., Biferale, L., Lanotte, A., Scagliarini, A. and F., Toschi, J. Fluid Mech. 645, 497, (2010). [2] Richardson, L. F. Atmospheric diffusion shown on a distance-neighbour graph. Proc. Roy. Soc. Lond. A 100, 709— 737, (1926). [3] Malik, N. A. On Turbulent Particle Pair Diffusion. Submitted (2016). http://arxiv.org/abs/1501.07186v2. [4] Fung J. C. H., Hunt J. C. R., Malik, N. A. & Perkins R. J. Kinematic Simulations in Turbulent Flow Generated by unsteady Randm Fourier Modes. J. Fluid Mech. 236, 281-317, (1992). [5] Malik, N. A. Residual sweeping effect in turbulent pair diffusion in a Lagrangian diffusion model. PLOS ONE, submitted (2016), http://arxiv.org/abs/1501.07186v2. [6] Maxey M. R. & Riley J. J. Equation of motion of a small rigid sphere in a nonuniform flow. Phys. Fluids. 26, 883,(1983).   A non-local theory of inertial particle pair diffusion     1 3 2 4 4   Conclusions