Shocks and waves in thermo-viscous MFD with hidden variables
The behaviour of heat conducting viscous fluids, acted on by a magneticfield, is described within the approximation of magnetofluiddynamics through a model accounting for heat conduction and viscosity via hidden variables. The constitutive equations adopted meet the restrictions imposed by the second law of thermodynamics and reduce to Navier-Stokes’ and Fourier’s laws in stationary processes. The foremost result of the paper is that, in general, such constitutive equations allow shock and wave propagation in thermo-viscous fluids. In particular, when the discontinuity fronts enter a region at equilibrium, the shock relations simplify to the standard shock relations of magnetofluiddynamics and the (acceleration) wave relations characterise waves which are the counterpart of the customary Alfvén waves and magnetoacoustic waves. Indeed, viscosity and heat conduction introduce quantitative differences but leave the propagation modes qualitatively unchanged.
KeywordsWave Propagation Propagation Mode Hide Variable Singular Surface Magnetoacoustic Wave
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