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Hydrodynamic stability of Poiseuille flow of a viscoplastic non-Newtonian fluid

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Abstract

The hydrodynamic stability of Poiseuille flow of a viscoplastic fluid is investigated. The flow is shown to be stable for infinitesimal disturbances.

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Literature cited

  1. W. L. Wilkinson, Non-Newtonian Fluids, Pergamon, New York (1960).

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  2. C. C. Lin, The Theory of Hydrodynamic Stability, Cambridge Univ. Press, Cambridge (1955).

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  3. V. Vazov, Asymptotic Expansions of the Solutions of Ordinary Differential Equations [in Russian], Mir, Moscow (1968).

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  4. M. C. Potter, “Stability of plane Couette-Poiseuille flow,” J. Fluid Mech.,24, 609–619 (1966).

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Authors and Affiliations

  1. Moscow

    K. B. Pavlov, A. S. Romanov & S. L. Simkhovich

Authors
  1. K. B. Pavlov
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  2. A. S. Romanov
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  3. S. L. Simkhovich
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 152–154, November–December, 1974.

In conclusion the authors thank S. A. Regirer for critical remarks.

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Pavlov, K.B., Romanov, A.S. & Simkhovich, S.L. Hydrodynamic stability of Poiseuille flow of a viscoplastic non-Newtonian fluid. Fluid Dyn 9, 996–998 (1974). https://doi.org/10.1007/BF01020033

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  • DOI: https://doi.org/10.1007/BF01020033

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