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On the stability of distorted laminar flow(II) — The linear 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 linear stability behaviour of parallel shear flow, presents unstable results of plane Couette flow and pipe Poiseuille flow to two-dimensional or axisymmetric disturbances for the first time, and obtains neutral curves of these two motions under certain definition.

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References

  1. Zhou Zhe-wei, On the stability of the distorted laminar flow, I. Basic ideas and theory,Applied Mathematics and Mechanics.10, 2 (1989), 123–138.

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  2. Zhou Zhe-wei, A kind of distortion profiles of the mean velocity in pipe Poiseuille flow and its stability behaviour.Applied Mathematics and Mechanics,9, 1 (1988), 73–82.

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  3. Gill, A.E. A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe,J. Fluid Mech.,21 (1962), 503.

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Authors and Affiliations

  1. Shanghai Universitily of Technology, Shanghai

    Zhou Zhe-wei

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

    Zhou Zhe-wei

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  1. Zhou Zhe-wei
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Communicared by Chien Wei-zang

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Zhe-wei, Z. On the stability of distorted laminar flow(II) — The linear stability analysis of distorted parallel shear flow. Appl Math Mech 10, 243–250 (1989). https://doi.org/10.1007/BF02014618

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  • DOI: https://doi.org/10.1007/BF02014618

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