Instability of a viscous incompressible flow in a channel with wavy walls is investigated theoretically, numerically and experimentally. Linear stability analysis shows that appropriately chosen wall waviness leads to flow destabilization at surprisingly low Reynolds numbers. The unstable mode of disturbances forms a vortex array, which travels downstream. The remarkable feature is that the most destabilizing waviness does not introduce any additional flow resistance. The outcome of the stability analysis are consistent with the result of direct numerical simulation obtained using CFD finite volume package FLUENT (Ansys Inc.). Preliminary experimental data gained for a channel with appropriately corrugated wall seem to confirm these predictions.
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ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels
June 23–25, 2008
Darmstadt, Germany
Conference Sponsors:
- Nanotechnology Institute
ISBN:
0-7918-4834-5
PROCEEDINGS PAPER
Low-Reynolds-Number Instability of the Laminar Flow Between Wavy Walls Available to Purchase
Tomasz A. Kowalewski,
Tomasz A. Kowalewski
Polish Academy of Sciences, Warsaw, Poland
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Jacek Szumbarski,
Jacek Szumbarski
Warsaw University of Technology, Warsaw, Poland
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Slawomir Blonski
Slawomir Blonski
Polish Academy of Sciences, Warsaw, Poland
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Tomasz A. Kowalewski
Polish Academy of Sciences, Warsaw, Poland
Jacek Szumbarski
Warsaw University of Technology, Warsaw, Poland
Slawomir Blonski
Polish Academy of Sciences, Warsaw, Poland
Paper No:
ICNMM2008-62070, pp. 1473-1480; 8 pages
Published Online:
June 11, 2009
Citation
Kowalewski, TA, Szumbarski, J, & Blonski, S. "Low-Reynolds-Number Instability of the Laminar Flow Between Wavy Walls." Proceedings of the ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. Darmstadt, Germany. June 23–25, 2008. pp. 1473-1480. ASME. https://doi.org/10.1115/ICNMM2008-62070
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