Mass transport in Couette flow

Abstract

In this study we examine the large Péclet number, Pe, limit of a concentration boundary layer in Couette flow. The boundary layer has a thickness of order Pe−1/2. The asymptotic concentration is asymptotically obtained as an integral solution up to order Pe−1/2 using the Fourier sine transform. The asymptotic solution is found to be in good agreement with the full numerical solution for large Péclet numbers. Further, the effective diffusivity obtained from the asymptotic solution is found to be in good agreement with the effective diffusivity obtained from the full numerical solution for large Péclet numbers.

Publication DOI: https://doi.org/10.1016/j.ces.2024.120142
Divisions: College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
Additional Information: Copyright © 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/4.0/)
Uncontrolled Keywords: Mass transport,Diffusion,Couette flow,effective diffusivity
Publication ISSN: 1873-4405
Last Modified: 20 Jun 2024 07:36
Date Deposited: 01 May 2024 13:15
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Related URLs: https://www.sci ... 4421?via%3Dihub (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2024-08-05
Published Online Date: 2024-04-25
Accepted Date: 2024-04-17
Authors: Hamilton-Morris, A.
Generalis, Sotos (ORCID Profile 0000-0001-7660-0633)
Griffiths, Paul (ORCID Profile 0000-0002-2078-0118)
Trevelyan, Philip (ORCID Profile 0000-0003-2780-6680)

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