Abstract
A study is made of the stability of a certain class of velocity profiles in a two-dimensional channel on the basis of a new numerical algorithm for the solution of the Orr-Sommerfeld equation. A profile is found which has (in a certain sense) the property of maximum stability. In form this profile is very similar to the averaged velocity profile of turbulent flow in a two-dimensional pipe.
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References
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Gol'dshtik, M.A., Sapozhnikov, V.A. Laminar flow stability in a mass force field. Fluid Dyn 3, 26–29 (1968). https://doi.org/10.1007/BF01029532
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DOI: https://doi.org/10.1007/BF01029532