Viscoelastic and non-Newtonian effects in shear flow
- 1 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 30 (1) , 622-623
- https://doi.org/10.1103/physreva.30.622
Abstract
The time-correlation functions characterizing linear viscoelasticity and nonlinear transport in shear flow are compared for a low-density gas of Maxwell molecules. It is shown that the relationship between viscoelasticity and nonlinear transport given by the Goddard-Miller rheological equation of state does not apply, and the principle of objectivity on which this equation is based is not valid.Keywords
This publication has 12 references indexed in Scilit:
- Nonlinear Diffusion and Mode-Coupling AnomaliesPhysical Review Letters, 1983
- Nonlinear shear viscosity and long time tailsProceedings of the National Academy of Sciences, 1981
- Rheological properties of simple fluids by computer simulationPhysical Review A, 1981
- Nonlinear transport in the Boltzmann limitJournal of Statistical Physics, 1979
- Non-newtonian effect and long-range correlation in shear flow in two dimensionsPhysics Letters A, 1979
- Kinetic theory of nonlinear viscous flow in two and three dimensionsJournal of Statistical Physics, 1978
- Time dependent correlation functions and mode-mode coupling theoriesPhysics Reports, 1975
- Application of Mode-Coupling Theory to Nonlinear Stress Tensor in FluidsProgress of Theoretical Physics, 1975
- Theory of Nonlinear Transport Processes: Nonlinear Shear Viscosity and Normal Stress EffectsPhysical Review A, 1973
- An inverse for the Jaumann derivative and some applications to the rheology of viscoelastic fluidsRheologica Acta, 1966