Abstract
Starting from a simple mech. constitutive model (the non-local diffusive M. Johnson and D. Segalman (1977) model; DJS model), a rigorous theor. explanation is provided as to why a unique value of the stress plateau of a highly sheared viscoelastic fluid is stably realized. The present anal. is based on a redn. theory of the degrees of freedom of the model equation in the neighborhood of a crit. point, which leads to a time-evolution equation that is equiv. to those for first-order phase transitions. [on SciFinder(R)]
| Original language | English |
|---|---|
| Pages (from-to) | 1-10, arXiv:0811 1393v1 [cond-mat soft] |
| Journal | ArXiv.org |
| Publication status | Published - 2008 |
Keywords
- Statistical mechanics (degrees of freedom
- thermodn. potential of mech. constitutive model for two-phase band flow of viscoelastic fluid)
- Phase transition (first-order
- Viscoelastic materials (liq.
- Thermodynamics
- Two-phase flow (thermodn. potential of mech. constitutive model for two-phase band flow of viscoelastic fluid)
- two phase band flow thermodn potential constitutive model
- viscoelastic fluid thermodn potential constitutive model