Mass transport in Couette flow

A. Hamilton-Morris; Sotos Generalis; Paul Griffiths; Philip Trevelyan

doi:10.1016/j.ces.2024.120142

Mass transport in Couette flow

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Article number	120142
Number of pages	9
Journal	Chemical Engineering Science
Volume	295
Early online date	25 Apr 2024
DOIs	https://doi.org/10.1016/j.ces.2024.120142
Publication status	Published - 5 Aug 2024

Bibliographical note

Keywords

Mass transport
Diffusion
Couette flow
effective diffusivity

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10.1016/j.ces.2024.120142Licence: CC BY 4.0

Trevelyan Mass transport in Couette flow
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/)
Final published version, 629 KBLicence: CC BY 4.0

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title = "Mass transport in Couette flow",

abstract = "In this study we examine the large P{\'e}clet 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 P{\'e}clet 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 P{\'e}clet numbers.",

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author = "A. Hamilton-Morris and Sotos Generalis and Paul Griffiths and Philip Trevelyan",

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doi = "10.1016/j.ces.2024.120142",

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TY - JOUR

T1 - Mass transport in Couette flow

AU - Hamilton-Morris, A.

AU - Generalis, Sotos

AU - Griffiths, Paul

AU - Trevelyan, Philip

PY - 2024/8/5

Y1 - 2024/8/5

N2 - 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.

AB - 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.

KW - Mass transport

KW - Diffusion

KW - Couette flow

KW - effective diffusivity

UR - https://www.sciencedirect.com/science/article/pii/S0009250924004421?via%3Dihub

UR - http://www.scopus.com/inward/record.url?scp=85191484641&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2024.120142

DO - 10.1016/j.ces.2024.120142

M3 - Article

SN - 0009-2509

VL - 295

JO - Chemical Engineering Science

JF - Chemical Engineering Science

M1 - 120142

ER -

Mass transport in Couette flow

Abstract

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Keywords

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