Summary
Grad's 13-moment theory – appropriate for rarefied gases – implies that a gas cannot perform a rigid rotation, if it conducts heat. Indeed, stationary heat conduction in a gas between co-axial cylinders at rest in a non-inertial frame exhibits azimuthal components of velocity and heat flux. The fields of velocity and heat flux are calculated. The effects are due to Coriolis terms in all transfer equations that result from the Boltzmann equation.
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Barbera, E., Müller, I. Inherent frame dependence of thermodynamic fields in a gas. Acta Mechanica 184, 205–216 (2006). https://doi.org/10.1007/s00707-006-0325-8
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DOI: https://doi.org/10.1007/s00707-006-0325-8