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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
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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: 0305-4470
Field of Research (FOR): 020303 Fluid Physics
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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