Leipzig 1999 – scientific programme
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PO: Polymerphysik
PO 11: Poster: Fließ- und Deformationsverhalten
PO 11.4: Poster
Tuesday, March 2, 1999, 14:00–16:00, Foyer
Macroscopic Flow Equations for Non-isothermal Polymeric Liquids — •M. Dressler, B. J. Edwards, and H. C. Öttinger — ETH Zürich, Department of Materials, Institute of Polymers, and Swiss F.I.T. Rheocenter, CH-8092 Zürich (Switzerland)
The full theoretical description of the thermodynamic and rheological properties of compressible, non-isothermal liquids with internal microstructure is one of the most fascinating and challenging problems in polymer physics. A new thermodynamic approach which has been developed in our group over the last few years will be presented and explained [1]. This new approach condenses all relevant mechanical principles and thermodynamical laws into a single mathematical structural equation describing the system’s dynamical behaviour. It will be outlined how this new approach has been applied to obtain a full set of mechanically and thermodynamically consistent macroscopic flow equations for non-isothermal polymeric liquids. This permits us to review critically the flow equations of Rational Thermodynamics [2]. Furthermore, we show how a non-isothermal Hookean dumbbell model of incompressible polymer fluids [3] can be generalized to account for a non-isothermal, compressible fluid.
[1] H. C. Öttinger, M. Grmela, Phys. Rev. B 56, 6633 (1997)
[2] B. D. Coleman, Arch. Rat. Mec. Anal. 17, 1 (1964)
[3] G. Marrucci, Trans. Soc. Rheol. 16, 735 (1972)