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Elongational flow behavior of polymeric fluids according to the Leonov model

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Abstract

The viscoelastic behavior of polymeric systems based upon the Leonov model has been examined for (i) the stress growth at constant strain rate, (ii) the stress growth at constant speed and (iii) the elastic recovery in elongational flow. The model parameters have been determined from the available rheological data obtained either in steady shear flow (shear viscosity and first normal-stress difference as a function of shear rate) or oscillatory flow (storage and loss moduli as a function of frequency in the linear region) or from extensional flow at very small strain rates (time-dependent elongation viscosity in the linear viscoelastic limit). In addition, the effect of the parameter characterizing the strain-hardening of the material during elongation has also been studied. The estimation of this parameter has been based upon the structural characteristics of the polymer chain which include the critical molecular weight and molecular weight of an independent segment. Five different polymer melts have been considered with varying number of modes (maximum four modes). Resulting predictions are in fair agreement with corresponding experimental data in the literature.

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Authors and Affiliations

  1. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, USA

    R. K. Upadhyay & A. I. Isayev

  2. Research and Development Center, General Electric Co., 12345, Schenectady, NY, USA

    R. K. Upadhyay

  3. Polymer Engineering Center, University of Akron, 44325, Akron, OH, USA

    A. I. Isayev

Authors
  1. R. K. Upadhyay
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  2. A. I. Isayev
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Upadhyay, R.K., Isayev, A.I. Elongational flow behavior of polymeric fluids according to the Leonov model. Rheol Acta 22, 557–568 (1983). https://doi.org/10.1007/BF01351402

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  • DOI: https://doi.org/10.1007/BF01351402

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