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Nonseparable Eigenmodes of the Incompressible Boundary Layer

  • Conference paper
Instability, Transition, and Turbulence

Part of the book series: ICASE NASA LaRC Series ((ICASE/NASA))

Abstract

We report the results of a study of the response of the incompressible boundary layer to disturbances of fixed frequency which are generated within the boundary layer. We show that there exists an infinite set of eigenvalues and corresponding nonseparable eigenfunctions. Series expansions for the eigenfunctions were constructed and used to construct initial conditions for numerical computations. The results of the numerical calculations are used to examine the characteristics of these eigenmodes. Sample results are presented.

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References

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Author information

Authors and Affiliations

  1. Department of Oceanography and Department of Computer Science, Old Dominion University, Norfolk, Virginia, 23529, USA

    C. E. Grosch

  2. Department of Mathematics and Statistics, Old Dominion University, Norfolk, Virginia, 23529, USA

    T. L. Jackson

  3. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York, 12180-3590, USA

    A. K. Kapila

Authors
  1. C. E. Grosch
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  2. T. L. Jackson
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  3. A. K. Kapila
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Editor information

Editors and Affiliations

  1. ICASE, NASA Langley Research Center, Hampton, VA, 23665, USA

    M. Y. Hussaini

  2. NASA Langley Research Center, Hampton, VA, 23665, USA

    A. Kumar  & C. L. Streett  & 

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© 1992 Springer-Verlag New York, Inc.

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Grosch, C.E., Jackson, T.L., Kapila, A.K. (1992). Nonseparable Eigenmodes of the Incompressible Boundary Layer. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_13

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  • DOI: https://doi.org/10.1007/978-1-4612-2956-8_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7732-3

  • Online ISBN: 978-1-4612-2956-8

  • eBook Packages: Springer Book Archive

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