Slender-body theory for steady sheared plumes in very viscous fluid

Whittaker, Robert J. ORCID: https://orcid.org/0000-0001-9598-5938 and Lister, John R. (2008) Slender-body theory for steady sheared plumes in very viscous fluid. Journal of Fluid Mechanics, 612. pp. 21-44. ISSN 0022-1120

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Abstract

A simple model based on slender-body theory is developed to describe the deflection of a steady plume by shear flow in very viscous fluid of the same viscosity. The key dimensionless parameters measuring the relative strengths of the shear, diffusion and source flux are identified, which allows a number of different dynamical regimes to be distinguished. The predictions of the model show good agreement with many, but not all, observations from previous experimental studies. Possible reasons for the discrepancies are discussed.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Faculty of Science > Research Groups > Fluids & Structures
Depositing User: Robert Whittaker
Date Deposited: 10 Mar 2011 12:47
Last Modified: 07 Nov 2024 12:34
URI: https://ueaeprints.uea.ac.uk/id/eprint/20897
DOI: 10.1017/S0022112008002887

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