Exact solutions for laminar pressure-driven flow through a pipe with a concentric internal grating
File(s)
Published version
Author(s)
Zimmermann, Sebastian
Schoenecker, Clarissa
Crowdy, Darren
Type
Journal Article
Abstract
This paper presents an analytical model for laminar pressure-driven axial flow along a circular pipe containing an internal concentric circular grating of no-slip fins. Explicit expressions for the velocity field are derived using complex analysis techniques and conformal mappings. From these solutions, formulas for the Fanning friction factor associated with axial flow in such finned pipes are derived and, using these, the drag properties of the pipes are examined. The results offer valuable insights for optimizing finned duct designs in applications involving heat transfer, fluid flow and biofilm cultivation.
Date Issued
2025-06-01
Date Acceptance
2025-08-06
Citation
IMA Journal of Applied Mathematics, 2025, 90 (3), pp.328-346
ISSN
0272-4960
Publisher
Oxford University Press
Start Page
328
End Page
346
Journal / Book Title
IMA Journal of Applied Mathematics
Volume
90
Issue
3
Copyright Statement
© The Author(s) 2025. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/ 4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
10.1093/imamat/hxaf019
Subjects
laminar duct flow
pipe flow
friction factor
Publication Status
Published
Date Publish Online
2025-08-26