Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 175, Issue -, Pages 76-88Publisher
ELSEVIER
DOI: 10.1016/j.jnnfm.2012.03.004
Keywords
Analytical solutions; Couette and Poiseulle flows; Slip boundary condition; Generalized Newtonian fluid
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Funding
- Fundacao para a Ciencia e Tecnologia (FCT) [SFRH/BD/37586/2007]
- FEDER via FCT
- Fundação para a Ciência e a Tecnologia [SFRH/BD/37586/2007] Funding Source: FCT
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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. (C) 2012 Elsevier B.V. All rights reserved.
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