Analytical solutions for Newtonian and inelastic non-Newtonian flows with wall slip

作者：Ferras L L; Nobrega J M^*; Pinho F T

来源：Journal of Non-Newtonian Fluid Mechanics, 2012, 175: 76-88.

DOI：10.1016/j.jnnfm.2012.03.004

• Analytical solutions
• Couette and Poiseulle flows
• Slip boundary condition
• Generalized Newtonian fluid

This work presents analytical solutions for both Newtonian and inelastic non-Newtonian fluids with slip boundary conditions in Couette and Poiseuille flows using the Navier linear and non-linear slip laws and the empirical asymptotic and Hatzikiriakos slip laws. The non-Newtonian constitutive equation used is the generalized Newtonian fluid model with the viscosity described by the power law, Bingham, Herschel-Bulkley, Sisko and Robertson-Stiff models. While for the linear slip model it was always possible to obtain closed form analytical solutions, for the remaining non-linear models it is always necessary to obtain the numerical solution of a transcendent equation. Solutions are included with different slip laws or different slip coefficients at different walls.

• 出版日期2012-5