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

Actas de congresos

Fecha

2015-01-01

Registro en:

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

http://hdl.handle.net/11449/167948

2-s2.0-84938723151

Autor

Universidade Estadual Paulista (Unesp)

Université des Sciences et Technologies de Lille, URM-CNRS 8107 Cité Scientifique

Universidade de São Paulo (USP)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Algebraic model

Analytic solution

FENE-CR model

Finite difference method

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