Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/269
Title: | Application of the lattice Boltzmann method to transition in oscillatory channel flow | Contributor(s): | Cosgrove, JA (author); Buick, J (author); Tonge, SJ (author); Munro, CG (author); Greated, CA (author); Campbell, DM (author) | Publication Date: | 2003 | Open Access: | Yes | DOI: | 10.1088/0305-4470/36/10/320 | Handle Link: | https://hdl.handle.net/1959.11/269 | Abstract: | In this study the applicability of the lattice Boltzmann method to oscillatory channel flow with a zero mean velocity has been evaluated. The model has been compared to exact analytical solutions in the laminar case (Reδ < 100, where Reδ is the Reynolds number based on the Stokes layer) for the Womersley parameter 1 < α < 31. In this regime, there was good agreement between numerical and exact analytical solutions. The model was then applied to study the primary instability of oscillatory channel flow with a zero mean velocity. For these transitionary flows the parameters were varied in the range 400 < Reδ < 1000 and 4 < α < 16. Disturbances superimposed on the numerical solution triggered the two-dimensional primary instability. This phenomenon has not been numerically evaluated over the range of α or Reδ currently investigated. The results are consistent with quasi-steady linear stability theories and previous numerical investigations. | Publication Type: | Journal Article | Source of Publication: | Journal of Physics A: Mathematical and General, 36(10), p. 2609-2620 | Publisher: | Institute of Physics Publishing Ltd | Place of Publication: | United Kingdom | ISSN: | 1361-6447 0305-4470 1751-8121 1751-8113 |
Fields of Research (FoR) 2008: | 020303 Fluid Physics | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article |
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open/SOURCE02.pdf | Author final version | 1.53 MB | Adobe PDF Download Adobe | View/Open |
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