Motion of a nonrectilinear fiber in a viscous fluid flow |
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Authors: | V. M. Shapovalov S. V. Lapshina |
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Affiliation: | (1) Volzhskii Polytechnical Institute, Volgograd State Technical University, Volzhskii, 404121 |
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Abstract: | The plane problem of dynamic interaction of a laminar viscous fluid flow and an inextensible pliable fiber of finite length is solved using the perturbation method. Two types of rheological twodimensional flows — pure shear and simple shear — are considered. Formulas are obtained for the evolution of the tensile force and the shape of the fiber. Results of asymptotic and numerical calculations are compared. |
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