Title | Dynamics of rigid particles in a parabolic flow of viscous fluid |
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Authors | A. O. Syromyasov^{1}, T. V. Menshakova^{1}^{1}National Research Mordovia State University |

Annotation | The authors investigate rigid spherical particle in a creeping incompressible flow. Far from the suspended sphere the flow is parabolic that corresponds to fluid movement in a tube with circular of elliptic cross-section. Disturbance caused by the particle is found by the method of multipole expansion. Basing on the solution obtained the forces acting on the particle and the particle’s relative velocity are found. Finally the trajectories of rigid spheres, which are straight lines, are obtained |

Keywords | Stokes equation, viscous fluid, suspension, parabolic flow, particle dynamic |

Citation | Syromyasov A. O., Menshakova T. V. ''Dynamics of rigid particles in a parabolic flow of viscous fluid'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, October 8-11, 2020). Saransk: SVMO Publ, 2020. - pp. 268-272. Available at: http://conf.svmo.ru/files/2020/papers/article16.pdf. - Date of access: 06.03.2021. |

**© SVMO, National Research Mordovia State University, 2021**

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