5 papers
A Continuum Description of Rarefied Gas Dynamics (III)--- The Structures of Shock Waves
Xinzhong Chen, Hongling Rao, Edward A. Spiegel
We use the one-dimensional steady version of the equations derived in paper I to compute the structure of shock waves. The agreement with experiment is good, especially when we ret…
A Continuum Description of Rarefied Gas Dynamics (II)--- The Propagation of Ultrasound
Xinzhong Chen, Hongling Rao, Edward A. Spiegel
The equations of fluid dynamics developed in paper I are applied to the study of the propagation of ultrasound waves. There is good agreement between the predicted propagation spee…
A Continuum Description of Rarefied Gas Dynamics (I)--- Derivation From Kinetic Theory
Xinzhong Chen, Hongling Rao, Edward A. Spiegel
We describe an asymptotic procedure for deriving continuum equations from the kinetic theory of a simple gas. As in the works of Hilbert, of Chapman and of Enskog, we expand in the…
Radiative Bulk Viscosity
X. Chen, E. A. Spiegel
Viscous resistance to changes in the volume of a gas arises when different degrees of freedom have different relaxation times. Collisions tend to oppose the resulting departures fr…
The Radiative Stress Tensor
Xinzhong Chen, Edward A. Spiegel
We use the transfer equation in relativistic form to develop an expansion of the one-photon distribution for a medium with constant photon mean free path, . The resulting radiat…