Stokes problem for second-order liquid

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Abstract

Let the liquid fill the space outside the cylinder, which makes longitudinal harmonic oscillations. The resulting problem for second-order fluid has a periodic time decision. The field of velocities and pressures is found in a wide range of governing parameters - the Reynolds number and relaxation parameter. Unlike the second Stokes problem for an ordinary viscous fluid (V.I. Bukreev (1988), [7]) where the pressure is constant, in a second-order fluid it oscillates at twice the frequency. This effect can be used to identify a model which is used in describing the motion of aqueous solutions of polymers.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019
EditorsMichail D. Todorov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419094
DOIs
Publication statusPublished - 24 Oct 2019
Event11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019 - Albena, Bulgaria
Duration: 20 Jun 201925 Jun 2019

Publication series

NameAIP Conference Proceedings
Volume2164
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019
CountryBulgaria
CityAlbena
Period20.06.201925.06.2019

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