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TitleAnalytical solutions for newtonian and inelastic non-newtonian flows with wall slip
Author(s)Ferrás, Luís Jorge Lima
Nóbrega, J. M.
Pinho, F. T.
KeywordsAnalytical solutions
Couette and Poiseulle flows
Slip boundary condition
Generalized Newtonian fluid
Issue dateMay-2012
JournalJournal of Non-Newtonian Fluid Mechanics
Abstract(s)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.
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:IPC - Artigos em revistas científicas internacionais com arbitragem

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