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Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts
Authors:M A Brutyan  P L Krapivsky
Institution:(1) Central Aerohydrodynamic Institute, Academy of Sciences of the USSR, 140160 Zhukovsky-3, Moscow region, USSR
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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