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Spatial and velocity statistics of inertial particles in turbulent flows
| Content Provider | Scilit |
|---|---|
| Author | Bec, J. Biferale, Luca Cencini, M. Lanotte, Alessandra S. Toschi, Federico |
| Copyright Year | 2011 |
| Description | Journal: Journal of Physics: Conference Series Spatial and velocity statistics of heavy point-like particles in incompressible, homogeneous, and isotropic three-dimensional turbulence is studied by means of direct numerical simulations at two values of the Taylor-scale Reynolds number $Re_{λ}$ ~ 200 and $Re_{λ}$ ~ 400, corresponding to resolutions of $512^{3}$ and $2048^{3}$ grid points, respectively. Particles Stokes number values range from St ≈ 0.2 to 70. Stationary small-scale particle distribution is shown to display a singular –multifractal– measure, characterized by a set of generalized fractal dimensions with a strong sensitivity on the Stokes number and a possible, small Reynolds number dependency. Velocity increments between two inertial particles depend on the relative weight between smooth events - where particle velocity is approximately the same of the fluid velocity-, and caustic contributions - when two close particles have very different velocities. The latter events lead to a non-differentiable small-scale behaviour for the relative velocity. The relative weight of these two contributions changes at varying the importance of inertia. We show that moments of the velocity difference display a quasi bi-fractal-behavior and that the scaling properties of velocity increments for not too small Stokes number are in good agreement with a recent theoretical prediction made by K. Gustavsson and B. Mehlig arXiv: 1012.1789v1 [physics.flu-dyn], connecting the saturation of velocity scaling exponents with the fractal dimension of particle clustering. |
| Related Links | http://iopscience.iop.org/article/10.1088/1742-6596/333/1/012003/pdf |
| ISSN | 17426588 |
| e-ISSN | 17426596 |
| DOI | 10.1088/1742-6596/333/1/012003 |
| Journal | Journal of Physics: Conference Series |
| Issue Number | 1 |
| Volume Number | 333 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2011-12-23 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics: Conference Series Fluids and Plasmas Physics Inertial Particles Velocity Statistics Turbulent Flows Spatial and Velocity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
