TY - JOUR
T1 - Turbophoresis in forced inhomogeneous turbulence
AU - Mitra, Dhrubaditya
AU - Haugen, Nils Erland L.
AU - Rogachevskii, Igor
N1 - Funding Information:
We thank S. Bo, N. Kleeorin, R. Eichorn, T. Elperin, S. Mussachio, A. Noorani, and J. Wettlaufer for stimulating discussions. A part of the work was done while DM was visiting the Woods Hole Oceanographic Institute whose hospitality is gratefully acknowledged. DM is supported by the grant Bottlenecks for particle growth in turbulent aerosols from the Knut and Alice Wallenberg Foundation (Dnr. KAW 2014.0048) and by VR grant 638-2013-9243. NELH and IR are supported by the Research Council of Norway under the FRINATEK grant 231444. Some of the computations were performed on resources provided by the Swedish National Infrastructure for Computing (SNIC) at PDC and at HPC2N.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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 St ≈ 10 and decrease as ∼ St - 0. 33 for large St.
AB - 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 St ≈ 10 and decrease as ∼ St - 0. 33 for large St.
UR - http://www.scopus.com/inward/record.url?scp=85041742597&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2018-11865-7
DO - 10.1140/epjp/i2018-11865-7
M3 - Article
AN - SCOPUS:85041742597
SN - 2190-5444
VL - 133
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 2
M1 - 35
ER -