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.
| Original language | English |
|---|---|
| Article number | 054101 |
| Journal | Physical Review Fluids |
| Volume | 9 |
| Issue number | 5 |
| Early online date | 6 May 2024 |
| DOIs | |
| Publication status | Published - 6 May 2024 |
Bibliographical note
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.9.054101Data Access Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.Fingerprint
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