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Long wavelength vortices in time-periodic flows

Citation

Bassom, AP and Blennerhassett, PJ, Long wavelength vortices in time-periodic flows, Journal of the Australian Mathematical Society, Series B, 39, (4) pp. 498-512. ISSN 0334-2700 (1998) [Refereed Article]

Copyright Statement

Copyright 1998 Australian Mathematical Society

DOI: doi:10.1017/S0334270000007761

Abstract

The linear stability properties are examined of long wavelength vortex modes in two timeperiodic flows. These flows are the motion which is induced by a torsionally oscillating cylinder within a viscous fluid and, second, the flow which results from the sinusoidal heating of an infinite layer of fluid. Previous studies concerning these particular configurations have shown that they are susceptible to vortex motions and linear neutral curves have been computed for wavenumbers near their critical value. These computations become increasingly difficult for long wavelength motions and here we consider such modes using asymptotic methods. These yield simple results which are formally valid for small wavenumbers and we show that the agreement between these asymptotes and numerical solutions is good for surprisingly large wavenumbers. The two problems studied share a number of common features but also have important differences and, between them, our methods and results provide a basis which can be extended for use with other time-periodic flows.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107850
Year Published:1998
Deposited By:Mathematics and Physics
Deposited On:2016-03-30
Last Modified:2016-10-17
Downloads:0

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