%0 Conference Paper %1 thompson2001application %A Thompson, M. C. %A Le Gal, P. %B Proceedings of the 14th Australasian Fluid Mechanics Conference %D 2001 %K %T Application of the forced Stuart-Landau model to cylinder wake oscillation %X In this article the application of the forced Stuart-Landau equation to describe the wake flow from a circular cylinder in uniform flow under transverse forcing is investigated. Previous work has shown that the forced Stuart-Landau equation predicts multivalued behaviour can occur over a range of forcing frequencies for a sufficiently large forcing amplitude. In practice, this should mean that the wake is hysteretic as a function of the forcing frequency. Both numerical simulations and experiments have failed to find this predicted hysteresis. The resolution appears to be that forced Landau model predicts that, for a particular forcing amplitude, the range of forcing frequencies over which hysteresis is predicted to occur varies in space. This means that the model can predict the wake response (as measured by the oscillation amplitude) almost up to the frequency corresponding to maximum response, but for higher forcing frequencies the predictions deviate from the observations.

@inproceedings{thompson2001application, abstract = {In this article the application of the forced Stuart-Landau equation to describe the wake flow from a circular cylinder in uniform flow under transverse forcing is investigated. Previous work has shown that the forced Stuart-Landau equation predicts multivalued behaviour can occur over a range of forcing frequencies for a sufficiently large forcing amplitude. In practice, this should mean that the wake is hysteretic as a function of the forcing frequency. Both numerical simulations and experiments have failed to find this predicted hysteresis. The resolution appears to be that forced Landau model predicts that, for a particular forcing amplitude, the range of forcing frequencies over which hysteresis is predicted to occur varies in space. This means that the model can predict the wake response (as measured by the oscillation amplitude) almost up to the frequency corresponding to maximum response, but for higher forcing frequencies the predictions deviate from the observations.}, added-at = {2021-02-17T02:15:17.000+0100}, author = {Thompson, M. C. and {Le Gal}, P.}, biburl = {https://www.bibsonomy.org/bibtex/2a321b56f4d0798a9b144b042d3bc4b06/gdmcbain}, booktitle = {Proceedings of the 14th Australasian Fluid Mechanics Conference}, eventdate = {10 - 14 December, 2001}, interhash = {aaf1ce5f2c30228b6aa697e5c1f3f8f7}, intrahash = {a321b56f4d0798a9b144b042d3bc4b06}, keywords = {}, timestamp = {2021-02-17T02:15:17.000+0100}, title = {Application of the forced Stuart-Landau model to cylinder wake oscillation }, venue = {The University of Adelaide}, year = 2001 }