Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (5): 407-417.

• Articles • Previous Articles     Next Articles

INSTABILITY OF HAGEN-POISEUILLE FLOW FOR NON-AXISYMMETRIC MODE

Wang F. M., J.T. Stuart (F. R. S.)   

  1. 1. Institute of Mech. Academia Sinica, Beijing;
    2. Imperial College, U. K.
  • Received:1988-02-13 Online:1989-05-18 Published:1989-05-18

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 diffusivily, 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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