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Diffusion transients in convection rolls

Published online by Cambridge University Press:  05 February 2021

Qingqing Yin ,
Yunyun Li ,
Baowen Li ,
Fabio Marchesoni ,
Shubhadip Nayak  and
Pulak K. Ghosh Open the ORCID record for Pulak K. Ghosh [Opens in a new window]
Qingqing Yin
Affiliation:
Center for Phononics and Thermal Energy Science, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai200092, PR China
Yunyun Li*
Affiliation:
Center for Phononics and Thermal Energy Science, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai200092, PR China
Baowen Li
Affiliation:
Paul M. Rady Department of Mechanical Engineering and Department of Physics, University of Colorado, Boulder, Colorado 80309-0427, USA
Fabio Marchesoni
Affiliation:
Center for Phononics and Thermal Energy Science, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai200092, PR China Dipartimento di Fisica, Università di Camerino, I-62032Camerino, Italy
Shubhadip Nayak
Affiliation:
Department of Chemistry, Presidency University, Kolkata700073, India
Pulak K. Ghosh*
Affiliation:
Department of Chemistry, Presidency University, Kolkata700073, India
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We numerically investigated the phenomenon of non-Gaussian normal diffusion of a Brownian colloidal particle in a periodic array of planar counter-rotating convection rolls. At high Péclet numbers, normal diffusion is observed to occur at all times with non-Gaussian transient statistics. This effect vanishes with increasing the observation time. The displacement distributions decay either slower or faster than a Gaussian function, depending on the flow parameters. The sign of their excess kurtosis is related to the difference between two dynamical time scales, namely, the mean exit time of the particle out of a convection roll and its circulation period inside it.

JFM classification

Complex Fluids: Colloids
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 912 , 10 April 2021 , A14
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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