Geodesic
Motions of ultradispersed particles in a~twisted section of a~ring channel
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2010), pp. 38-44

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The paper deals with the centrifugation process for ultradispersed particles in a ring channel with a spinning section. The mathematical model of their motion in the Stokesian resistance model takes into account the Cunningham correction for finiteness of the Knudsen number. An explicit-implicit scheme was constructed to perform calculations in a wide range of varying time steps. To verify calculation accuracy, an analytical solution to the problem of transverse displacement of a particle is given. A good agreement of numerical and analytical solutions has been obtained.
Keywords: ultradispersed particles, ring channel, centrifugation, Cunningham correction, Knudsen number
Mots-clés : explicit-implicit scheme. 
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     author = {M. A. Bubenchikov},
     title = {Motions of ultradispersed particles in a~twisted section of a~ring channel},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {38--44},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_2_a4/}
}
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M. A. Bubenchikov. Motions of ultradispersed particles in a~twisted section of a~ring channel. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2010), pp. 38-44. http://geodesic.mathdoc.fr/item/VTGU_2010_2_a4/