Mass transfer to freely suspended particles at high Péclet number
Mass transfer to freely suspended particles at high Péclet number
In a theoretical analysis, we generalise well-known asymptotic results to obtain expressions for the rate of transfer of material from the surface of an arbitrary, rigid particle suspended in an open pathline flow at large Péclet number,. The flow may be steady or periodic in time. We apply this result to numerically evaluate expressions for the surface flux to a freely suspended, axisymmetric ellipsoid (spheroid) in Stokes flow driven by a steady linear shear. We complement these analytical predictions with numerical simulations conducted over a range of and confirm good agreement at large Péclet number. Our results allow us to examine the influence of particle shape upon the surface flux for a broad class of flows. When the background flow is irrotational, the surface flux is steady and is prescribed by three parameters only: the Péclet number, the particle aspect ratio and the strain topology. We observe that slender prolate spheroids tend to experience a higher surface flux compared to oblate spheroids with equivalent surface area. For rotational flows, particles may begin to spin or tumble, which may suppress or augment the convective transfer due to a realignment of the particle with respect to the strain field.
Stokesian dynamics, coupled diffusion and flow, particle/fluid flows
Lawson, John
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
25 April 2021
Lawson, John
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
Lawson, John
(2021)
Mass transfer to freely suspended particles at high Péclet number.
Journal of Fluid Mechanics, 913, [A32].
(doi:10.1017/jfm.2020.1177).
Abstract
In a theoretical analysis, we generalise well-known asymptotic results to obtain expressions for the rate of transfer of material from the surface of an arbitrary, rigid particle suspended in an open pathline flow at large Péclet number,. The flow may be steady or periodic in time. We apply this result to numerically evaluate expressions for the surface flux to a freely suspended, axisymmetric ellipsoid (spheroid) in Stokes flow driven by a steady linear shear. We complement these analytical predictions with numerical simulations conducted over a range of and confirm good agreement at large Péclet number. Our results allow us to examine the influence of particle shape upon the surface flux for a broad class of flows. When the background flow is irrotational, the surface flux is steady and is prescribed by three parameters only: the Péclet number, the particle aspect ratio and the strain topology. We observe that slender prolate spheroids tend to experience a higher surface flux compared to oblate spheroids with equivalent surface area. For rotational flows, particles may begin to spin or tumble, which may suppress or augment the convective transfer due to a realignment of the particle with respect to the strain field.
Text
Mass transfer to freely suspended particles at high Péclet number
- Accepted Manuscript
More information
Accepted/In Press date: 21 December 2020
e-pub ahead of print date: 26 February 2021
Published date: 25 April 2021
Additional Information:
Publisher Copyright:
© The Author(s), 2021. Published by Cambridge University Press.
Keywords:
Stokesian dynamics, coupled diffusion and flow, particle/fluid flows
Identifiers
Local EPrints ID: 445679
URI: http://eprints.soton.ac.uk/id/eprint/445679
ISSN: 0022-1120
PURE UUID: efd39672-a1c2-4ba8-b64c-858fb3a1e0ae
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Date deposited: 06 Jan 2021 17:31
Last modified: 10 Oct 2024 04:01
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