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.

Instability of Hagen-Poiseuille Flow For Non-axisymmetric Mode

  • Received Date: 1988-02-13
  • Publish Date: 1989-05-15
  • 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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  • [1]
    Brown,S,N.and K,Stewartson,Geophys,A Strophys,Fluid Dyn,,16(1980),171.
    [2]
    Coles,D.,Mecanique ãla Turbulence(ed.A.Favre),C.N.R.S.,Paris(1962) 229-250.
    [3]
    Davey,A.and B.P.F.Nguyen,J.Fluid Mech.,45(1971),701-720.
    [4]
    Davey,A.,J.Fluid Mech.,86(1978),695-703.
    [5]
    Dryden,H.L.,Turbulent Ffow and Heat Transfer(ed.C.C.Lin) Princeton University Press(1959).
    [6]
    Garg,V,K,and W.T.Rouleau,J,Fluid Mech,,36(1972),209.
    [7]
    Gill,A,E,,J,Fluid Mech,,6,1(1973),97.
    [8]
    Iton,N.,J.Fluid Mech.,82(1977),455-479.
    [9]
    Pakera,A,T.and S,A.Orzag,J,Fluid Mech.,112(1981),467.
    [10]
    Reynolds,O,,Phil.Traps,R,Soc,Lond.,A174(1883),935.
    [11]
    Salwen,H,and G.E.Grosch,I,Fluid Mech,,54(1972),s3.
    [12]
    Seal,T.,Ann.Phys.,83(1927).835.
    [13]
    Stuart,J.T.,J.Fluid Mech.,9(1960),353.
    [14]
    Stuart,J.T.,Laminar-Turbulent Transition(ed.R.Eppler And H.Fasel),(1980).
    [15]
    Smith,F.T.and R.J.Bodonyi,Proc.Roy.Soc.,A 384(1982),463-489.
    [16]
    Wygnanski,I.J.and F.H.,Champagne,J,Fluid Mech,,59(1971),281.
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