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Monoharmonic self-excited oscillations bifurcating from Poiseuille flow in a compliant pipe of circular cross section

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Abstract

The bifurcation problem near the neutral curves constructed for Poiseuille flow in a compliant pipe is investigated. The existence of stable self-excited oscillatory regimes branching from the noses of the neutral curves in the region of linear instability is established both for Re < 2000 and for Re > 2000, which corresponds to a soft excitation regime. The bifurcated self-excited oscillation modes are determined, and the effect on the branching of the Reynolds numbers Re and, moreover, the compliance and internal viscosity of the pipe material is analyzed. The data obtained can be used in medicine and for designing stabilizing elements for flows in circular pipes.

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Literature cited

  1. A. Davey and P. G. Drazin, “The stability of Poiseuille flow in a pipe,” J. Fluid Mech.,36, 209 (1969).

    Google Scholar 

  2. H. Salwen and C. E. Grosch, “Stability of Poiseuille flow in a pipe of circular crosssection,” J. Fluid Mech.,54, 93 (1972).

    Google Scholar 

  3. T. A. Vil'gel'mi, M. A. Gol'dshtik, and V. A. Sapozhnikov, “Stability of flow in a circular pipe,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 20 (1973).

    Google Scholar 

  4. H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).

    Google Scholar 

  5. R. F. Ganiev, Yu. B. Malykh, and L. E. Ukrainskii, “Linear stability of viscous incompressible flow in a circular viscoelastic pipe,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 126 (1986).

    Google Scholar 

  6. R. F. Ganiev, Yu. B. Malykh, and L. E. Ukrainskii, “Dynamic interaction of a viscous incompressible fluid and an elastic pipe,” in: Vibration Engineering, No. 2/55 [in Russian] (1987), p. 85.

    Google Scholar 

  7. D. D. Joseph, Stability of Fluid Motions, Springer, Berlin (1976).

    Google Scholar 

  8. N. V. Nikitin, “Hard excitation of self-oscillations in Hagen-Poiseuille flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 181 (1984).

    Google Scholar 

  9. R. F. Ganiev, L. E. Ukrainskii, A. I. Telalov, and V. M. Mendelutsa, “Experimental investigation of fluid flow in tubes with compliant walls,” in: Bionics, No. 14, [in Russian], Kiev (1980), p. 46.

    Google Scholar 

  10. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972), p. 27.

    Google Scholar 

  11. M. A. Gol'dshtik and V. N. Shtern, Hydrodynamic Stability and Turbulence [in Russian], Nauka, Novosibirsk (1977).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    R. F. Ganiev & L. E. Ukrainskii

Authors
  1. R. F. Ganiev
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  2. L. E. Ukrainskii
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 31–39, July–August, 1991.

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Ganiev, R.F., Ukrainskii, L.E. Monoharmonic self-excited oscillations bifurcating from Poiseuille flow in a compliant pipe of circular cross section. Fluid Dyn 26, 501–508 (1991). https://doi.org/10.1007/BF01050309

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  • DOI: https://doi.org/10.1007/BF01050309

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