Mass transport in Couette flow

A. Hamilton-Morris, Sotos Generalis, Paul Griffiths, Philip Trevelyan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article number120142
Number of pages9
JournalChemical Engineering Science
Volume295
Early online date25 Apr 2024
DOIs
Publication statusE-pub ahead of print - 25 Apr 2024

Bibliographical note

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/)

Keywords

  • Mass transport
  • Diffusion
  • Couette flow
  • effective diffusivity

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