Large-amplitude oscillatory shear flow simulation for a FENE fluid

  • Aldo Gómez-López
  • Víctor H. Ferrer
  • Eduardo Rincón
  • Juan P. Aguayo
  • Ángel E. Chávez
  • René O. VargasEmail author
Original Contribution


In this work, the FENE dumbbell model under small- and large-amplitude oscillatory shear flows using a micro-macro approach is presented. This approach involves the evolution of an ensemble of Brownian Configuration Fields which describes the polymer dynamics of the microscopic scale and the momentum equation describes the macroscopic scale. The Lissajous curves for the shear stress and the first normal stress difference versus the instantaneous strain or strain rate for the elastic or viscous projection are shown. The influences of the solvent/polymer viscosity ratio, the maximum extension length, and the relation between strain rate and frequency are analyzed. An important finding is the self-intersection of the Lissajous curves, which forms secondary loops for short extension lengths and high Weissenberg/Deborah dimensionless numbers ratio.


LAOS Multiscale Maximum extension length Oscillatory flow Viscoelasticity FENE model 


Funding information

The first author received financial support from the National Council for Science and Technology (CONACyT) of Mexico and the National Autonomous University of México (UNAM) through its postgraduate programs. R.O.V. received support with the project SIP-IPN 20196476.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Aldo Gómez-López
    • 1
  • Víctor H. Ferrer
    • 2
  • Eduardo Rincón
    • 3
  • Juan P. Aguayo
    • 4
  • Ángel E. Chávez
    • 5
  • René O. Vargas
    • 6
    Email author
  1. 1.Departamento de Termofluidos, Facultad de IngenieríaUniversidad Nacional Autónoma de MéxicoMexico CityMexico
  2. 2.ESIME-ZacatencoInstituto Politécnico NacionalMexico CityMexico
  3. 3.DirecciónMorelos Sociedad al Servicio de la niñez s.c.Ciudad de MéxicoMéxico
  4. 4.Instituto de Ciencias Aplicadas y TecnologíaUniversidad Nacional Autónoma de MéxicoMexico CityMexico
  5. 5.Departamento de Ingenierá Química, Facultad de QuímicaUniversidad Nacional Autónoma de MéxicoMexico CityMexico
  6. 6.ESIME AzcapotzalcoInstituto Politécnico NacionalMexico CityMexico

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