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Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts

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Abstract

We have shown that unidirectional flows of viscoelastic fluids are mathematically equivalent to plane potential flows of a fictitious gas. The classification of type and some exact solutions of the equations describing fictitious gas flows are presented. The Prandtl-Mayer flow and its viscoelastic counterpart is discussed in more details in connection with the Sternberg-Koiter paradox.

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Authors and Affiliations

  1. Central Aerohydrodynamic Institute, Academy of Sciences of the USSR, 140160, Zhukovsky-3, Moscow region, USSR

    M. A. Brutyan & P. L. Krapivsky

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  1. M. A. Brutyan
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  2. P. L. Krapivsky
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Brutyan, M.A., Krapivsky, P.L. Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts. Z. angew. Math. Phys. 43, 715–725 (1992). https://doi.org/10.1007/BF00946259

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  • DOI: https://doi.org/10.1007/BF00946259

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