On the similarities between the simplified Phan-Thien Tanner (sPTT) and FENE-P models

R J Poole, M Davoodi, K Zografos

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Abstract

For many commonly-used single mode viscoelastic constitutive equations of differential type, it is well known that they share many features. For example, in certain parameter limits the Giesekus, Phan-Thien Tanner and FENE-type models approach the Oldroyd-B model. In this short paper we show that for homogeneous flows such as steady simple shear flow or pure extension, the response of the linear form of the simplified Phan-Thien Tanner (the "sPTT") model and the Finitely Extensible Nonlinear Elastic model that follows the Peterlin approximation (the "FENE-P") is identical under certain conditions. In effect this means in viscometric flows, any steady analytical solution derived for one of these models in a particular flow is also a solution for the other model and we demonstrate this equivalence using existing channel flow solutions for the two models from the literature
Original languageEnglish
Pages (from-to)29-34
Number of pages6
JournalThe British Society of Rheology Bulletin
Volume60
Publication statusPublished - 1 Oct 2019

Keywords

  • viscoelastic fluids
  • homogeneous flow
  • viscometric flows

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