A novel algebraic extra-stress model and its analytic solution for fully developed laminar flows

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2015-01-01

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This work presents the development of an algebraic extra-stress model (AESM) for modelling viscoelastic flows governed by the constitutive Finite Extendable Non-linear Elastic-Chilcott and Rallison (FENE-CR) differential model. An algorithm for solving the governing equations for incompressible flows of FENE-CR fluids by the AESM model is given. Moreover, by considering fully developed flows, analytic expressions for the conformation tensor A and velocity are derived. These analytic solutions are employed to verify the convergence and accuracy of the numerical methodology for simulating flows modelled by this new AESM.

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PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015, p. 767-774.

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