Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Anisotropic particle clustering in the viscous sublayer of wall-bounded turbulent flows. / Sikovsky, D. Ph.
THMT 2018 - Proceedings of the 9th International Symposium on Turbulence Heat and Mass Transfer. Begell House Inc., 2018. p. 1073-1084 (Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer; Vol. 2018-July).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Anisotropic particle clustering in the viscous sublayer of wall-bounded turbulent flows
AU - Sikovsky, D. Ph
N1 - Funding Information: The work is supported by the grant of Russian Science Foundation No.14-19-01685. Publisher Copyright: © 2018 Begell House, Inc.
PY - 2018
Y1 - 2018
N2 - We study the clustering of inertial particles in the viscous sublayer of wall-bounded turbulent flows, where the instantaneous fluid velocity is governed by the wall shear. We derive the kinetic equation for the probability density function (PDF) of particle pair relative velocity and position, which is exact in the limit of zero wall distance. In this limit, we obtain the diffusion equation for the pair correlation function of particles and show that at small separations the solution has a self-similar form with the singular power-law dependence from the particle relative position. The exponent dependence upon the Stokes number is determined from the eigenvalue problem for the angular dependent part of pair correlation function. The negative exponent in the power law is also related to the correlation dimension of particle clusters, which is shown to decrease from 2.0 to 0.205 as the Stokes number increases from zero to infinity. We show that the pair correlation function of particles in the spanwise cross-section have the self-similar rhomboidal form highly flattened in the wall-normal direction.
AB - We study the clustering of inertial particles in the viscous sublayer of wall-bounded turbulent flows, where the instantaneous fluid velocity is governed by the wall shear. We derive the kinetic equation for the probability density function (PDF) of particle pair relative velocity and position, which is exact in the limit of zero wall distance. In this limit, we obtain the diffusion equation for the pair correlation function of particles and show that at small separations the solution has a self-similar form with the singular power-law dependence from the particle relative position. The exponent dependence upon the Stokes number is determined from the eigenvalue problem for the angular dependent part of pair correlation function. The negative exponent in the power law is also related to the correlation dimension of particle clusters, which is shown to decrease from 2.0 to 0.205 as the Stokes number increases from zero to infinity. We show that the pair correlation function of particles in the spanwise cross-section have the self-similar rhomboidal form highly flattened in the wall-normal direction.
UR - http://www.scopus.com/inward/record.url?scp=85137527414&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/5e772465-c5ac-3884-a9e4-a024095f6c50/
U2 - 10.1615/THMT-18.1230
DO - 10.1615/THMT-18.1230
M3 - Conference contribution
AN - SCOPUS:85137527414
SN - 9781567004687
T3 - Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer
SP - 1073
EP - 1084
BT - THMT 2018 - Proceedings of the 9th International Symposium on Turbulence Heat and Mass Transfer
PB - Begell House Inc.
T2 - 9th International Symposium on Turbulence Heat and Mass Transfer, THMT 2018
Y2 - 10 July 2018 through 13 July 2018
ER -
ID: 38059249