Abstract.
We show, by direct numerical simulations, that heavy inertial particles (characterized by Stokes number St) in inhomogeneously forced statistically stationary isothermal turbulent flows cluster at the minima of mean-square turbulent velocity. Two turbulent transport processes, turbophoresis and turbulent diffusion together determine the spatial distribution of the particles. If the turbulent diffusivity is assumed to scale with turbulent root-mean-square velocity, as is the case for homogeneous turbulence, the turbophoretic coefficient can be calculated. Indeed, for the above assumption, the non-dimensional product of the turbophoretic coefficient and the rms velocity is shown to increase with St for small St, reach a maxima for \({\rm St} \approx 10\) and decrease as \( \sim {\rm St}^{-0.33}\) for large St.
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Mitra, D., Haugen, N.E.L. & Rogachevskii, I. Turbophoresis in forced inhomogeneous turbulence. Eur. Phys. J. Plus 133, 35 (2018). https://doi.org/10.1140/epjp/i2018-11865-7
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DOI: https://doi.org/10.1140/epjp/i2018-11865-7