IWNET

2006

4th International workshop on nonequilibrium thermodynamics and complex fluids
3-7 september 2006, Rhodes, Greece

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ORAL PRESENTATION
Session: 5 Non-equilibrium thermodynamics: Approaches and formalisms
(scheduled: Wednesday, 09:40 )

Kinematics of turbulence in simple and polymeric fluids

M. Grmela
Ecole Polytechnique de Montreal, Montreal H3C 3A7, Canada

How to detect and describe the complex features of solutions of hydrodynamic equations representing turbulent flows? A new route, based on the Hamiltonian (GENERIC) formulation of Lagrangian viewpoint of fluid motion is explored. Two-point distribution function of fluid particles is chosen as the state variable. The Hamiltonian formulation of its time equation allows to consider separately the kinematics (Poisson bracket) and the dynamics (generating potential). Only the kinematics is discussed. The Poisson bracket expressing it is rigorously identified. The resulting time evolution equations are shown, in a particular case, to unify and extend the equations arising in Reynolds and Lagrange averaging. Parallel discussion of the turbulent kinematics in simple and polymeric fluids offers a new view of the difference in their turbulent flows. © IWNET 2006

© and Kleanthi for IWNET 2006