Abstract
The generalized bracket framework is used to derive a family of compressible viscoelastic models. The framework accounts for both reversible and non-reversible dynamics and ensures that the derived models are consistent with the laws of thermodynamics. The most general compressible forms of the UCM and Oldroyd B models are derived. For these models the elastic strain energy is taken to be that for a Hookean material. Nonlinear elastic strain energy functionals are also considered and used to derive new viscoelastic models. The viscometric behaviour of these models is investigated and model predictions are compared with experimental data for Boger fluids and mLLDPE.
Highlights
The ability to predict the flow of non-isothermal viscoelastic fluids is important in many processes in the polymer industry
Polymer melt flow generally happens at high temperatures where flow parameters and dynamics are a direct result of thermodynamic relationships between state variables
Many of these violate the principles of thermodynamics and are of limited applicability
Summary
The ability to predict the flow of non-isothermal viscoelastic fluids is important in many processes in the polymer industry. Theoretical advances in modelling non-isothermal viscoelastic fluids have developed at a more gradual pace. Derivation of suitable models for compressible and nonisothermal flow problems have received far less attention [5]. In many numerical investigations bespoke rheological models are crafted to suit specific flow problems and are not applicable to more general problems. In polymer processing applications, such as injection moulding and high-speed extrusion, the pressure and flow rate may be large. Polymer melt flow generally happens at high temperatures where flow parameters and dynamics are a direct result of thermodynamic relationships between state variables. Compressible and non-isothermal effects within the viscoelastic regime may become important and influence resulting flow phenomena
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