A NOVEL ALGEBRAIC EXTRA-STRESS MODEL AND ITS ANALYTIC SOLUTION FOR FULLY DEVELOPED LAMINAR FLOWS

Actas de congresos

Date

2015-01-01

Registration in:

Proceedings Of The 1st Pan-american Congress On Computational Mechanics And Xi Argentine Congress On Computational Mechanics. 08034 Barcelona: Int Center Numerical Methods Engineering, p. 767-774, 2015.

http://hdl.handle.net/11449/158997

WOS:000380586300067

Author

Universidade Estadual Paulista (Unesp)

Univ Sci & Technol Lille

Universidade de São Paulo (USP)

Institutions

Universidade Estadual Paulista (Brasil)

Abstract

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 arc derived. These analytic solutions arc employed to verify the convergence and accuracy of the numerical methodology for simulating flows modelled by this new AESM.

Subjects

FENE-CR Model

Algebraic Model

Analytic Solution

Finite Difference Method

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