caa a22 4500 475776798 CHVBK 20180406123633.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/BF02465278 doi (NATIONALLICENCE)springer-10.1007/BF02465278 Shapovalov V. aut Motion of a flexible finite-length filament in a flow of a viscous fluid [Elektronische Daten] [V. Shapovalov] The two-dimensional problem of the configuration of a flexible filament of finite length in a deformable viscous fluid is solved. The flexuural stresses in the filament and the inertial and gravitational forces are not taken into account. The equilibrium equations are obtained. The friction force that acts on the filament surface from the side of the viscous fluid is proportional to the flow rate. The specific features of the evolution of a bent filament under the conditions of pure and simple shear of a fluid are studied numerically. Analytical solutions are obtained for the evolution of a rectilinear filament; in particular, the stretching force in the filament is found. For the indicated types of flow, the stability of a rectilinear filament against small perturbations is investigated. Kluwer Academic/Plenum Publishers, 2000 Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 337-346 0021-8944 41:2<337 2000 41 10808 https://doi.org/10.1007/BF02465278 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02465278 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shapovalov V. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/2(2000-03-01), 337-346 0021-8944 41:2<337 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer