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Instability of Hagen-Poiseuille flow for non-axisymmetric mode

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Abstract

An investigation is described for instability problem of flow through a pipe of circular cross-section. As a disturbance motion, we consider a general non-axisymmetric mode. An associated amplitude or modulation equation has been derived for this disturbance motion. This equation belongs to a diffusion type. The coefficient of it can be negative while Reynolds number increases, because of the complex interaction between molecular diffusion and convection. The negative diffusivity, when it occurs, causes a concentration and focussing of energy within decaying slugs, acting as a role of reversing natural decays.

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Authors and Affiliations

  1. Institute of Mech. Academia Sinica, Beijing

    Wang F. M.

  2. Imperial College, UK

    J. T. Stuart F. R. S.

Authors
  1. Wang F. M.
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  2. J. T. Stuart F. R. S.
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Communicated by Chien, Wei-zang

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Wang, F.M., Stuart, J.T. Instability of Hagen-Poiseuille flow for non-axisymmetric mode. Appl Math Mech 10, 407–417 (1989). https://doi.org/10.1007/BF02019230

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  • DOI: https://doi.org/10.1007/BF02019230

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