Physics – Fluid Dynamics
Scientific paper
2009-08-12
Proc. R. Soc. A (2010) 466:1373-1387
Physics
Fluid Dynamics
no figures
Scientific paper
10.1098/rspa.2009.0423
We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal relaxation time that is required to make heat propagation in solids causal. We also discuss non-local terms that arise naturally in a dissipative multi-fluid model, and relate these terms to those of phonon hydrodynamics. Finally, we formulate a complete heat conducting two-component model and discuss briefly the new dissipative terms that arise.
Andersson Nils.
Comer G. L.
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