How non-integer order derivatives can be useful to rheology

L. L. Ferras, Neville J. Ford, Maria Lusa Morgado, Magda Rebelo, Gareth H. McKinley, Joao M. Nobrega

Research output: Contribution to conferencePaper

Abstract

In this work we extend a numerical method developed by the group for the solution of fractional differential equations governing the flow of complex fluids. The method is robust and can now deal with graded meshes in time. The grading can be performed in a semi-automatic way, taking into account the evolution in time of the gradient of stress. We also explore the ability of fractional viscoleastic models to fit rheological data obtained from small-amplitude oscillatory shear experiments with blood.

Original languageEnglish
Pages406-421
Number of pages16
Publication statusPublished - 1 Jan 2017
Event3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, SYMCOMP 2017 - Guimaraes, Portugal
Duration: 6 Apr 20177 Apr 2017

Conference

Conference3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, SYMCOMP 2017
CountryPortugal
CityGuimaraes
Period6/04/177/04/17

Keywords

  • Caputo Fractional Derivative
  • Fractional Viscoelastic Models
  • Graded Meshes
  • Numerical Solution
  • Relaxation Tests
  • Rheology

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