Non-stationary thermodynamics and wave propagation in heat conducting viscous fluids

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Abstract
The behaviour of heat conducting viscous fluids is described through a suitable set of hidden variables whose (objective) evolution equations account also for cross-effect coupling terms. Such equations are incorporated into a thermodynamic theory which includes Muller's (1967) as a particular case and leads to Navier-Stokes' and Fourier's laws when uniform constant gradients of velocity and temperature are concerned. Meanwhile, the whole nonlinear theory turns out to be hyperbolic; this is shown via a direct analysis of the propagation modes. Finally, the authors outline an operative way of testing whether the co-rotational derivative is the required objective time derivative.

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