Convective Nonlinearity in Non-Newtonian Fluids
arXiv:cond-mat/0010264 · doi:10.1103/PhysRevLett.84.3228
Abstract
In the limit of infinite yield time for stresses, the hydrodynamic equations for viscoelastic, Non-Newtonian liquids such as polymer melts must reduce to that for solids. This piece of information suffices to uniquely determine the nonlinear convective derivative, an ongoing point of contention in the rheology literature.
4 pages
Cited by in corpus (17)
- Granular Solid Hydrodynamics
- Granular Elasticity without the Coulomb Condition
- From Elasticity to Hypoplasticity: Dynamics of Granular Solids
- Granular Solid Hydrodynamics (GSH): a broad-ranged macroscopic theory of granular media
- Applying GSH to a Wide Range of Experiments in Granular Media
- Two-way coupling of FENE dumbbells with a turbulent shear flow
- Memory-based mediated interactions between rigid particulate inclusions in viscoelastic environments
- Microscopic approach to entropy production
- Microscopic density-functional approach to nonlinear elasticity theory
- Hydrodynamics of Active Polar Systems in a (Visco)Elastic Background
- Why Granular Media Are Thermal, and Quite Normal, After All
- Similarities between GSH, Hypoplasticity and KCR
- Hydrodynamic description of (visco)elastic composite materials and relative strains as a new macroscopic variable
- Rotating spherical particle in a continuous viscoelastic medium -- a microrheological example situation
- Rheologically tuned modes of collective transport in active viscoelastic films
- Unified description of viscous, viscoelastic, or elastic thin active films on substrates
- Granular Solid Hydrodynamics (GSH): from Quasi-Static Motion to Rapid Dense Flow