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ORAL PRESENTATION
Session: 4 Complex fluid deformation and rheology: Theories and thermodynamic relationships
(scheduled: Tuesday, 14:25 )
2-Fluid Viscoelasticity
H. Pleiner1, J.L. Harden2
1 Max Planck Institute for Polymer Research, 55021 Mainz, Germany
2 Dept. Physics, University of Ottawa, Ottawa Ontario K1N 6N5, Canada
We combine the nonlinear hydrodynamic description of viscoelastic fluids with a general 2-fluid hydrodynamics of 2-component (mass density) and 2-momentum (velocity) systems to give a generalized hydrodynamics model for disperse polymers and colloids. This description deals with hydrodynamic equations for the two (generally conserved) mass densities, the total (conserved) momentum density and for the non-hydrodynamic, relaxing relative velocity, the thermal degree of freedom, and either the relaxing elasticity, or transient orientation dynamics. There are special problems with this 2-fluid extension of ordinary hydrodynamics, like the choice of the transport and convection velocities or the separation of the stress tensor between the two subsystems. Generally it turns out that transport and convective velocities are material dependent and can be different for the different variables or even from each other. However, there are certain restrictions and interdependencies among them due to thermodynamic requirements. In addition, the stress division problem is not independent from the transport and convective velocity problem. © IWNET 2006
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and Kleanthi for IWNET 2006