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Blood Flow Simulation Using Traceless Variant ofJohnson-Segalman Viscoelastic Model

Published online by Cambridge University Press:  24 September 2014

T. Bodnár ,
M. Pires  and
J. Janela
T. Bodnár
Affiliation:
Faculty of Mechanical Engineering, Czech Technical University in Prague Karlovo Náměstí 13, 121 35 Prague 2, Czech Republic
M. Pires
Affiliation:
Department of Mathematics and CIMA-UE, Évora University Rua Romão Ramalho, 7000-671, Évora, Portugal CEMAT, Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
J. Janela*
Affiliation:
Department of Mathematics and CEMAPRE, ISEG, Universidade de Lisboa Rua do Quelhas 6, 1200-781 Lisbon, Portugal
*
⋆Corresponding author. E-mail: [email protected]
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Abstract

A traceless variant of the Johnson-Segalman viscoelastic model is presented and appliedto blood flow simulations. The viscoelastic extra stress tensor is decomposed into itstraceless (deviatoric) and spherical parts, leading to a reformulation of the classicalJohnson-Segalman model. The equivalence of the two models is established comparing modelpredictions for simple test cases. The new model is validated using several 2D benchmarkproblems, designed to reproduce difficulties that arise in the simulation of blood flow inblood vessels or medical devices. The structure and behaviour of the new model arediscussed and the future use of the new model in envisioned, both on the theoretical andnumerical perspectives.

Keywords

bloodviscoelasticJohnson-SegalmanOldroydtraceless tensor
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 6: Blood flows , 2014 , pp. 117 - 141
Copyright
© EDP Sciences, 2014

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