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Mass transfer from small spheroids suspended in a turbulent fluid

Mass transfer from small spheroids suspended in a turbulent fluid
Mass transfer from small spheroids suspended in a turbulent fluid

By coupling direct numerical simulation of homogeneous isotropic turbulence with a localised solution of the convection-diffusion equation, we model the rate of transfer of a solute (mass transfer) from the surface of small, neutrally buoyant, axisymmetric, ellipsoidal particles (spheroids) in dilute suspension within a turbulent fluid at large Péclet number,. We observe that, at, the average transfer rate for prolate spheroids is larger than that of spheres with equivalent surface area, whereas oblate spheroids experience a lower average transfer rate. However, as the Péclet number is increased, oblate spheroids can experience an enhancement in mass transfer relative to spheres near an optimal aspect ratio. Furthermore, we observe that, for spherical particles, the Sherwood number scales approximately as over to, which is below the scaling observed for inertial particles but consistent with available experimental data for tracer-like particles. The discrepancy is attributed to the diffusion-limited temporal response of the concentration boundary layer to turbulent strain fluctuations. A simple model, the quasi-steady flux model, captures both of these phenomena and shows good quantitative agreement with our numerical simulations.

coupled diffusion and flow, homogeneous turbulence, particle/fluid flow
0022-1120
Lawson, John M.
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
Ganapathisubramani, Bharathram
5e69099f-2f39-4fdd-8a85-3ac906827052
Lawson, John M.
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
Ganapathisubramani, Bharathram
5e69099f-2f39-4fdd-8a85-3ac906827052

Lawson, John M. and Ganapathisubramani, Bharathram (2021) Mass transfer from small spheroids suspended in a turbulent fluid. Journal of Fluid Mechanics, 929 (A19), [A19]. (doi:10.1017/jfm.2021.867).

Record type: Article

Abstract

By coupling direct numerical simulation of homogeneous isotropic turbulence with a localised solution of the convection-diffusion equation, we model the rate of transfer of a solute (mass transfer) from the surface of small, neutrally buoyant, axisymmetric, ellipsoidal particles (spheroids) in dilute suspension within a turbulent fluid at large Péclet number,. We observe that, at, the average transfer rate for prolate spheroids is larger than that of spheres with equivalent surface area, whereas oblate spheroids experience a lower average transfer rate. However, as the Péclet number is increased, oblate spheroids can experience an enhancement in mass transfer relative to spheres near an optimal aspect ratio. Furthermore, we observe that, for spherical particles, the Sherwood number scales approximately as over to, which is below the scaling observed for inertial particles but consistent with available experimental data for tracer-like particles. The discrepancy is attributed to the diffusion-limited temporal response of the concentration boundary layer to turbulent strain fluctuations. A simple model, the quasi-steady flux model, captures both of these phenomena and shows good quantitative agreement with our numerical simulations.

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Published date: 21 October 2021
Additional Information: Funding Information: This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 846648. Declaration of interests Publisher Copyright: © 2021 Cambridge University Press. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
Keywords: coupled diffusion and flow, homogeneous turbulence, particle/fluid flow

Identifiers

Local EPrints ID: 453671
URI: http://eprints.soton.ac.uk/id/eprint/453671
ISSN: 0022-1120
PURE UUID: 1d13d07c-15fd-4a15-95bc-2c5d37696cdc
ORCID for John M. Lawson: ORCID iD orcid.org/0000-0003-3260-3538
ORCID for Bharathram Ganapathisubramani: ORCID iD orcid.org/0000-0001-9817-0486

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Date deposited: 20 Jan 2022 17:45
Last modified: 18 Mar 2024 03:49

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