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Viscoplastic rimming flow instead a rotating cylinder
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Ball, Thomasina V. and Balmforth, Neil J. (2024) Viscoplastic rimming flow instead a rotating cylinder. Physical Review Fluids, 9 (2). 023304. doi:10.1103/PhysRevFluids.9.023304 ISSN 2469-990X.
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Official URL: https://doi.org/10.1103/PhysRevFluids.9.023304
Abstract
A theoretical analysis is presented for the flow of a Herschel-Bulkley fluid around the inside surface of a rotating cylinder, at rotation speeds for which the fluid largely collects in a prominent pool in the lower part of the cylinder. The analysis, based on lubrication theory, predicts the steady states typically reached after a small number of rotations. The analysis is also modified to consider the drainage of the film around a stationary cylinder, which allows an exploration of the dynamics when a rotating drum is suddenly stopped. The predictions of the theory are compared with experiments in which a Carbopol suspension is rotated inside an acrylic drum.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Fluid mechanics, Fluid mechanics -- Mathematical models, Lubrication and lubricants -- Fluid dynamics, Approximation theory | ||||||
Journal or Publication Title: | Physical Review Fluids | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 2469-990X | ||||||
Official Date: | 27 February 2024 | ||||||
Dates: |
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Volume: | 9 | ||||||
Number: | 2 | ||||||
Article Number: | 023304 | ||||||
DOI: | 10.1103/PhysRevFluids.9.023304 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Re-use Statement: | © 2024 American Physical Society | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Copyright Holders: | © 2024 American Physical Society | ||||||
Date of first compliant deposit: | 19 January 2024 | ||||||
Date of first compliant Open Access: | 19 January 2024 | ||||||
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