TY - JOUR
T1 - Boundary layer flows over deforming surfaces
AU - Hanevy, Niall
AU - Ferguson, Jason
AU - Trevelyan, Philip M.J.
AU - Griffiths, Paul T.
N1 - 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
PY - 2024/5/6
Y1 - 2024/5/6
N2 - 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.
AB - 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.
UR - https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.9.054101
UR - http://www.scopus.com/inward/record.url?scp=85192301369&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.9.054101
DO - 10.1103/PhysRevFluids.9.054101
M3 - Article
SN - 2469-990X
VL - 9
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 5
M1 - 054101
ER -