Geodesic
Plane two bodies problems in Stokes hydronamics
Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 43-63

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A plane hydrodynamic problem on interaction of two disks in the field of distant stresses is presented. The exact solutions for two types of remote stresses are obtained by method of series expansion. The equivalent forces and moments creating an analogous disk movement are calculated. Motion in time of particles in a pair related with the lubricating layer effect between them is investigated. These solutions can be used in the averaging suspension problem and in the physical and chemical hydrodynamics. One of number application is related with the proppant mechanics.
Mots-clés : suspension, microstructure, constraint.
Keywords: rheology, pair interaction 
@article{MM_2016_28_4_a3,
     author = {A. V. Karakin and M. M. Ramazanov},
     title = {Plane two bodies problems in {Stokes} hydronamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {43--63},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_4_a3/}
}
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A. V. Karakin; M. M. Ramazanov. Plane two bodies problems in Stokes hydronamics. Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 43-63. http://geodesic.mathdoc.fr/item/MM_2016_28_4_a3/