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

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• 作者：L.L. Ferrá ; s^a ; ^{luis.ferras@dep.uminho.pt} ; J.M. Nó ; brega^a ; ^{mnobrega@dep.uminho.pt} ; F.T. Pinho^b ; ^{fpinho@fe.up.pt}
• 关键词：Analytical solutions ; Couette and Poiseulle flows ; Slip boundary condition ; Generalized Newtonian fluid
• 刊名：Journal of Non-Newtonian Fluid Mechanics
• 出版年：2012
• 期刊代码：103_03770257
• 类别：et
• 出版时间：May, 2012
• 卷：175-176
• 期：Complete
• 页码：76-88
• 文件大小：2115 K

摘要

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.