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A general transformation procedure for differential viscoelastic models

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2003
auteur(s) Mompean Gilmar; Thompson Roney L.; Souza Mendes P.R.
journal (abréviation) Journal of Non-Newtonian Fluid Mechanics (J. Non-Newtonian Fluid Mech.)
volume (numéro) 111 (2-3)
  
pages 151 – 174
résumé A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be solved. The resulting model is suitable for three-dimensional and time-dependent flows. A new generalized objective time derivative is employed in the procedure, lending important features to the transformed model. For example, for the case of the Oldroyd-B model, the transformed model is capable of predicting non-zero second normal stress differences. Calculations of the stress field have been performed with an Oldroyd-B based GTP model (the GTP[OldB] model) for a 4:1 contraction plane flow. The results obtained have been analyzed with the aid of a flow-type classifier, and were found to be in good agreement with the ones obtained with the original model.
mots clés Transformation; Differential; Viscoelastic
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