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The boundary layer flow induced above the torsional motion of a disk

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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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Weidman, Patrick
Date : 22 April 2019
DOI : 10.1063/1.5091797
Copyright Disclaimer : © 2019 Author(s).
Depositing User : Users 6648 not found.
Date Deposited : 25 Apr 2019 10:26
Last Modified : 23 Apr 2020 02:08

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