SU Hai-rong, HU Guo-hui, ZHOU Zhe-wei. Pseudospectral Analysis of the Interfacial Stability of Free Jets With Different Velocity Profiles[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1211-1219.
Citation: SU Hai-rong, HU Guo-hui, ZHOU Zhe-wei. Pseudospectral Analysis of the Interfacial Stability of Free Jets With Different Velocity Profiles[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1211-1219.

Pseudospectral Analysis of the Interfacial Stability of Free Jets With Different Velocity Profiles

  • Received Date: 2003-06-20
  • Rev Recd Date: 2004-06-29
  • Publish Date: 2004-12-15
  • A double fluid model for a liquid jet surrounded by a coaxial gas stream was constructed. The interfacial stability of the model was studied by Chebyshev pseudospectral method for different basic velocity profiles.The physical variables were mapped into computational space using a nonlinear coordinates transformation.The general eigenvalues of the dispersion relation obtained are solved by QZ method,and the basic characteristics and their dependence on the flow parameters are analyzed.
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  • [1]
    Plateau J. Statique experimentale et theorique des liquids soumle sux seule forces[J].Moleculaire Gauthier Villars,1873,1(1):2—10.
    [2]
    Reynolds A J. Observation of a liquid-into-liquid jet[J].J Fluid Mechanics,1962,14:552—556. doi: 10.1017/S0022112062001433
    [3]
    Chandrasekhar S.Hydrodynamic and Hydromagnetic Stability[M].Oxford England: Oxford University Press, 1961.
    [4]
    Taylor G I.Generation of Ripples by Wind Blowing Over Viscous Fluid[M].the Scientific Papers of G I Taylor.Cambridge England: Cambridge University Press, 1965.
    [5]
    Shen J, Li X. Instability of cylindrical compressible gas jets in viscous liquid streams[J].Acta Mechanica,1998,130(1/2):95—110. doi: 10.1007/BF01187046
    [6]
    Lin S P, Lian Z W. Absolute instability of a liquid jet in a gas[J].Physics of Fluids A,1989,1(3):490—493.
    [7]
    Zhou Z W, Lin S P. Absolute and convective instability of a compressible jet [J].Physics of Fluids A, 1992,4(1):277—282. doi: 10.1063/1.858303
    [8]
    Sevilla A, Gordillo J M. The effect of the diameter ratio on the absolute and convective instability of free coflowing jets[J].Physics of Fluids,2002,14(9):3028—3038. doi: 10.1063/1.1496511
    [9]
    Lin S P, Chen J N. Role played by the interfacial shear in the instability mechanism of a viscous liquid jet surrounded by a viscous gas in a pipe[J].J Fluid Mechanics,1998,376:37—51. doi: 10.1017/S0022112098002894
    [10]
    Boyd J P.Chebyshev and Fourier Spectral Method[M].Germany: Springer-Verlag,1989.
    [11]
    苏海蓉.自由射流界面稳定性的伪谱分析[D].硕士学位论文.上海:上海大学, 2003.
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