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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Dynamics of dissipative ordered fluids

Sonnet, A.M. and Virga, E.G. (2001) Dynamics of dissipative ordered fluids. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 64 (3). 031705-1. ISSN 1063-651X

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Abstract

A variational principle is proposed that 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.