Title | Analytical solutions to the FENE-P model with slip boundary conditions |
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Authors | E. S. Baranovskii^{1}^{1}Voronezh 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: http://conf.svmo.ru/files/deamm2017/papers/paper23.pdf. - Date of access: 15.10.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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