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Compression and outflow of an asymptotically thin perfectly rigid-plastic spherical layer

D. V. Georgievskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An axially symmetric meridional flow with a drain of an incompressible perfect rigid plastic medium between two concentric rough spheres is studied. The external sphere is fixed, whereas the surface of the internal one is expanded uniformly. An asymptotic integration of the boundary value problem with a natural small geometric parameter is performed.

Key words: perfect rigid plastic flow, thin layer, spreading, compressing, drain, Prandtl problem, asymptotic methods.

UDC: 539.3

Received: 11.01.2011

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