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Stability of viscous flow between rotating and stationary disks

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Abstract

The linear problem of the stability of viscous flow between rotating and stationary parallel disks is solved in the locally homogeneous formulation using the method of normal modes. The main flow is assumed to be selfsimilar with respect to the radial coordinate. The system of sixth-order equations, derived for the amplitude functions of the disturbances, is integrated by a finite difference method. The stability characteristics with respect to disturbances of four types are calculated.

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Authors and Affiliations

  1. Leningrad

    P. I. San'kov & E. M. Smirnov

Authors
  1. P. I. San'kov
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  2. E. M. Smirnov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 79–87, November–December, 1991.

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San'kov, P.I., Smirnov, E.M. Stability of viscous flow between rotating and stationary disks. Fluid Dyn 26, 857–864 (1991). https://doi.org/10.1007/BF01056787

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  • DOI: https://doi.org/10.1007/BF01056787

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