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

Title	Analytical solutions to the FENE-P model with slip boundary conditions
Authors	E. S. Baranovskii¹ ¹Voronezh State University
Annotation	We 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.
Keywords	FENE-P model, polymeric fluids, Poiseuille flow, slip boundary condition, analytical solutions
Citation	Baranovskii 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: https://conf.svmo.ru/files/deamm2017/papers/paper23.pdf. - Date of access: 21.11.2024.