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Analytical solutions to the FENE-P model with slip boundary conditions

TitleAnalytical solutions to the FENE-P model with slip boundary conditions
AuthorsE. S. Baranovskii1
1Voronezh State University
AnnotationWe study analytical solutions of equations describing steady flows of a FENE-P fluid in a channel under slip boundary conditions. The Navier slip condition and threshold-type slip conditions are considered. For the plane Poiseuille flow, we obtain explicit formulas for the velocity field, the stress in the fluid, and the configuration tensor.
KeywordsFENE-P model, polymeric fluids, Poiseuille flow, slip boundary condition, analytical solutions
CitationBaranovskii E. S. ''Analytical solutions to the FENE-P model with slip boundary conditions'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 170-176. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper23.pdf. - Date of access: 24.08.2019.