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Constitutive equations for fluids with microstructure
A variational principle is proposed which allows to derive the equations of motion for a fluid with a general microstructure described by a tensorial order parameter. The only constitutive ingredients are the densities of the free energy and the dissipation, both subject to appropriate invariance requirements. As an illustration, it is shown how the hydrodynamic theory for uniaxial nematic liquid crystals can be derived within this setting.
You can download the presentation given in the Cortona 2001 meeting (compressed PostScript file, 120 kB).