The Hagen–Poiseuille linear flow instability

Abstract

In this study, it is shown that the linear instability of the Hagen–Poiseuille (HP) flow for the finite Reynolds numbers Re > Re th is nevertheless possible but only under the condition of refusal to use the traditional “normal” form of disturbances.

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Correspondence to S. G. Chefranov.

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Original Russian Text © S.G. Chefranov, A.G. Chefranov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 463, No. 3, pp. 286–292.

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Chefranov, S.G., Chefranov, A.G. The Hagen–Poiseuille linear flow instability. Dokl. Phys. 60, 327–332 (2015). https://doi.org/10.1134/S1028335815070083

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Keywords

  • Reynolds Number
  • DOKLADY Physic
  • Flow Instability
  • Energy Method
  • Tube Axis