Compression and Outflow of an Asymptotically Thin Perfectly Rigid-Plastic Spherical Layer / Georgievskii D.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 6. P. 65-68 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 0].
The axisymmetric meridional flow of an incompressible perfectly rigid-plastic medium between two concentric rough spheres is studied in the case of a sink. The outer sphere is fixed, whereas the surface of the inner sphere is uniformly expanded. An asymptotic integration of a boundary value problem with a natural small geometric parameter is performed.
perfect rigid plastic flow, thin layer, spreading,
compressing, drain, Prandtl problem, asymptotic methods.