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An analogy between vortical and thermal fields subject to the large pressure gradient

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Abstract

Local thermal disturbances generated by a small confined mechanical forcing on the curved surface are under consideration within the framework of the interacting boundary layer in the limit of large Reynolds number. The variations of the self-induced pressure and temperature are found to be explicitly related, and an analytic solution of a linear perturbation analysis is presented. The heat flux associated with the self-induced pressure may attain values comparable with the heat flux existing in the oncoming boundary layer. The analogy between the normal-to-wall vorticity and spanwise derivative of temperature is rigorously derived to supersede locally the well-known analogy by Reynolds. Heavily increased thermal loads can cause severe damage to the engine in operation.

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Authors and Affiliations

  1. Computational Heat Transfer and Aeroacoustics Lab, GE Global Research Center, Schenectady, NY, 12309, USA

    E. V. Bogdanova-Ryzhova

  2. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180-3590, USA

    O. S. Ryzhov

Authors
  1. E. V. Bogdanova-Ryzhova
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  2. O. S. Ryzhov
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Correspondence to O. S. Ryzhov.

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Bogdanova-Ryzhova, E.V., Ryzhov, O.S. An analogy between vortical and thermal fields subject to the large pressure gradient. Z. Angew. Math. Phys. 62, 305–321 (2011). https://doi.org/10.1007/s00033-010-0099-7

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  • DOI: https://doi.org/10.1007/s00033-010-0099-7

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