Boundary layer flows over deforming surfaces

Abstract

In this paper a formulation of the incompressible Navier-Stokes equations is intro- duced which allows one to model boundary-layer flows induced by the motion of a deforming surface. Such a formulation may be used to model flows relevant in a wide variety of industries from polymer processing to glass manufacturing. We show that for particular sheet geometries and velocities, similarity solutions may be obtained that account for sheet thinning (or thickening) and roughness patterns observed in extrusion-type processes.

Publication DOI: https://doi.org/10.1103/PhysRevFluids.9.054101
Divisions: College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
College of Engineering & Physical Sciences > Aston Fluids Group
Aston University (General)
Additional Information: Copyright © 2024 American Physical Society. This is an accepted manuscript of an article published in Physical Review Fluids. The published version is available at: https://doi.org/10.1103/PhysRevFluids.9.054101
Publication ISSN: 2469-990X
Data Access Statement: The data that support the findings of this study are available from the corresponding author upon reasonable request.
Last Modified: 02 Dec 2024 09:06
Date Deposited: 04 Jun 2024 15:12
Full Text Link:
Related URLs: https://journal ... Fluids.9.054101 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2024-05-06
Published Online Date: 2024-05-06
Accepted Date: 2024-03-28
Authors: Hanevy, Niall
Ferguson, Jason
Trevelyan, Philip M.J. (ORCID Profile 0000-0003-2780-6680)
Griffiths, Paul T. (ORCID Profile 0000-0002-2078-0118)

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