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On the stability of distorted laminar flow(III)—The nonlinear stability analysis of distorted parallel shear flow

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Abstract

Based on the hydrodynamic stability theory of distorted laminar flow and the kind of distortion profiles on the mean velocity in parallel shear flow given in paper [1], this paper investigates the nonlinear stability behaviour of parallel shear flow, carries on stability calculation taking account of the perturbations of background turbulence noise under certain assumption, and obtains some results in accordance qualitatively with those of experiment for plane Poiseuille flow and pipe Poiseuille flow.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Zhou Zhe-wei

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  1. Zhou Zhe-wei
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Communicated by Tsai Shu-tang

The author thanks Prof. Zhou Heng sincerely for his kind offer of his computer program of the artificial neutrality method on the stability in subcritical range of plane Poiseuille flow.

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Zhe-wei, Z. On the stability of distorted laminar flow(III)—The nonlinear stability analysis of distorted parallel shear flow. Appl Math Mech 10, 297–307 (1989). https://doi.org/10.1007/BF02017770

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  • DOI: https://doi.org/10.1007/BF02017770

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