Motion of a nonrectilinear fiber in a viscous fluid flow
V. M. Shapovalov and S. V. Lapshina
Volzhskii Polytechnical Institute, Volgograd State Technical University, Volzhskii 404121
Pages: 336-340
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 two-
dimensional 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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