Rheology pp 3-8 | Cite as

Non-Isothermal Flows of Viscoelastic Fluids

  • R. K. Gupta
  • A. B. Metzner


During the last two decades, considerable progress has been made in developing stress-deformation rate relationships for viscoelastic liquids: the ground rules pertaining to an admissible equation of state were set forth by Coleman and Noll (1961) and Coleman (1964). According to their theory, the extra stress in a material is assumed to be a functional of the history of the deformation process that the material has experienced as well as of the history of the temperature. Unfortunately, almost all existing theories ignore temperature -- treating it as a parameter and not as a variable. In such analyses, once a constitutive equation has been derived for isothermal conditions allowance is made for varying temperature conditions by incorporating within the equation the experimentally-observed time-temperature superposition, or other equivalent empirical observations. While this ensures the correct behavior at different fixed temperature levels, it need not give the correct results for the transition process between two temperatures, and should not if the temperature history is important.


Viscoelastic Fluid Extensional Viscosity Isothermal Flow Viscoelastic Liquid Vary Temperature Condition 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • R. K. Gupta
    • 1
  • A. B. Metzner
    • 1
  1. 1.University of DelawareNewarkUSA

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