Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls

The rheological Pokrovskii-Vinogradov model for flows of solutions or melts of an incompressible viscoelastic polymeric medium is studied in the case of flows in an infinite planar channel with perforated walls. The linear Lyapunov instability is proved for the base solution with constant flow rate...

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Bibliographic Details
Published in:Sbornik. Mathematics 2022-03, Vol.213 (3), p.283-299
Main Authors: Blokhin, A. M., Tkachev, D. L.
Format: Article
Language:English
Subjects:
base solution
Flow stability
Flow velocity
Fluid flow
Incompressible flow
incompressible viscoelastic polymeric medium
infinite planar channel with perforated walls
linear Lyapunov instability
Perturbation
Rheological properties
rheological relation
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Summary:The rheological Pokrovskii-Vinogradov model for flows of solutions or melts of an incompressible viscoelastic polymeric medium is studied in the case of flows in an infinite planar channel with perforated walls. The linear Lyapunov instability is proved for the base solution with constant flow rate in the class of perturbations periodic in the variable varying along the channel wall. Bibliography: 14 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM9507