Differential Equations and Boundary Conditions for Rarefied Polyatomic Gases

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Abstract
Constitutive laws and differential equations for macroscopic variables in a polyatomic gas are derived from moment equations of the Waldmann-Snider equation. Constitutive laws are stated for the friction pressure tensor, the translational and rotational heat fluxes and for the tensor polarization flux. Differential equations are given for the temperature, for the difference between translational and rotational temperatures, for the flow velocity and for the tensor polarization. Boundary conditions for these four moments are obtained by Waldmanns method from the entropy production at the interface between the gas and a solid body. In particular, these are a temperature jump condition, a velocity slip condition, and equations which determine the values at the wall of the tensor polarization and of the difference between translational and rotational temperatures.

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