Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode

Wang P.M.; J. T. Stuart(F. R. S.)

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Wang P.M., J. T. Stuart(F. R. S.). Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode[J]. Applied Mathematics and Mechanics, 1989, 10(5): 393-402.

Citation:

Wang P.M., J. T. Stuart(F. R. S.). Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode[J]. Applied Mathematics and Mechanics, 1989, 10(5): 393-402.

Citation:

Wang P.M., J. T. Stuart(F. R. S.). Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode[J]. Applied Mathematics and Mechanics, 1989, 10(5): 393-402.

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Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode

Wang P.M.¹,
J. T. Stuart(F. R. S.)²

1.
Institute of Mech. Academia Sinica Beijing;
2.
Imperial College, U. K.

Received Date: 1988-02-13
Publish Date: 1989-05-15

Abstract

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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References(16)

References

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