The boundary layer flow induced above the torsional motion of a disk
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Turner, Matthew and Weidman, Patrick (2019) The boundary layer flow induced above the torsional motion of a disk Physics of Fluids, 31 (4), 043604.
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Official URL: https://doi.org/10.1063/1.5091797
Abstract
The boundary layer flow above a disk in torsional motion with azimuthal velocity proportional to rm is investigated for all values of m ≥ 1; here r is the radial coordinate measured from the center of the disk. The resulting flow is a fully three-dimensional exact solution to the steady, axisymmetric boundary layer equations in the form of similarity solutions. We compute wall shear stresses in the radial and azimuthal directions as a function of the torsional exponent m, as well as the flow induced in the far field. The large m asymptotics of the problem are computed and compared with numerical solutions. The induced radial velocity profiles have a ‘wall-jet’ structure and it is found that both the radial and azimuthal velocity components become confined close to the surface of the disk as m increases.
| Item Type: | Article | |||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||
| Authors : |
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| Date : | 22 April 2019 | |||||||||
| DOI : | 10.1063/1.5091797 | |||||||||
| Copyright Disclaimer : | © 2019 Author(s). | |||||||||
| Depositing User : | Charlene King | |||||||||
| Date Deposited : | 25 Apr 2019 10:26 | |||||||||
| Last Modified : | 21 Nov 2019 15:47 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/851689 |
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