Unsteady coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation
Mitchell, Andrew J. and Duffy, Brian R. and Wilson, Stephen K. (2022) Unsteady coating flow on a rotating cylinder in the presence of an irrotational airflow with circulation. Physics of Fluids, 34 (4). 043105. ISSN 1070-6631 (https://doi.org/10.1063/5.0084472)
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Abstract
Unsteady two-dimensional coating flow of a thin film of a viscous fluid on the outside of a uniformly rotating horizontal circular cylinder in the presence of a steady two-dimensional irrotational airflow with circulation is considered. The analysis of this problem by Newell and Viljoen [Phys. Fluids 31(3), 034106 (2019)], who sought to generalize the work of Hinch and Kelmanson [Proc. R. Soc. London, Ser. A 459(2033), 1193-1213 (2003)] to include the effect of the airflow, is revisited. In contrast with the claim of Newell and Viljoen that the flow is conditionally unstable (in the sense that the solution for the film thickness grows without bound for certain values of the physical parameters), it is shown that, in fact, the film remains unconditionally stable in the presence of the airflow.
ORCID iDs
Mitchell, Andrew J., Duffy, Brian R. ORCID: https://orcid.org/0000-0003-2687-7938 and Wilson, Stephen K. ORCID: https://orcid.org/0000-0001-7841-9643;-
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Item type: Article ID code: 79910 Dates: DateEvent6 April 2022Published11 March 2022AcceptedSubjects: Science > Mathematics
Science > PhysicsDepartment: Faculty of Science > Mathematics and Statistics
Strategic Research Themes > Ocean, Air and Space
Strategic Research Themes > Measurement Science and Enabling Technologies
Strategic Research Themes > Energy
Strategic Research Themes > Advanced Manufacturing and MaterialsDepositing user: Pure Administrator Date deposited: 17 Mar 2022 21:00 Last modified: 02 Dec 2024 01:26 URI: https://strathprints.strath.ac.uk/id/eprint/79910