Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218.
Citation: Dong Ming-de. The Spectral Problem of Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1985, 6(3): 213-218.

The Spectral Problem of Poiseuille Flow

  • Received Date: 1983-08-04
  • Publish Date: 1985-03-15
  • For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be discussed subsequently.
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  • [1]
    Heisenberg,W.,über Stabilität und Turbulenz von Flüssig-keitsströmen,Annalen der Physik,74(1924),577.
    [2]
    Lin,C.C.,The Theory of Hydrodynamic Stability,Cambridge University Press(1955).
    [3]
    Joseph,D.D.,Stability of Fluid Motion Ⅰ-Ⅱ,Springer-Verlag(1976)
    [4]
    Dong Ming-de,Poincare's Problem of Irregular Integrals,(Lacture Notes)(1981).
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