On the ellipsoidal statistical model for polyatomic gases

Cauchy Problem for the Ellipsoidal Bgk Model for Polyatomic Particles

The derivation of the celebrated Boltzmann equations relies heavily on the assumption that the gas consists of monatomic particles, which is not the case for most of the realistic gases. Efforts to derive Boltzmann type kinetic models soon confront with the difficulty that it is virtually impossible to write the pre and post collision velocities in an explicit form, since polyatomic molecules c...

Kinetic model and moment method for polyatomic gases

A model kinetic equation for accurate description of rarefied polyatomic gases is introduced. The collisions of polyatomic gas particles are modeled by a two term collision operator, one modeling only exchange of translational energy and the other modeling exchange of both translational and internal energies. The proposed kinetic model, which is an extension of the Rykov and Shakov models, pred...

A kinetic model of the Boltzmann equation for non-vibrating polyatomic gases

Waldmann-Snider Collision Integrals for Mixtures of Polyatomic Gases Exact and Approximate Relations

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

Constructing a Body-Fixed Reference Frame for a Polyatomic Molecule

An attempt is made to show in a straightforward way how a body-fixed frame may be constructed in classical and hence in quantum mechanics for a polyatomic molecule with the aid of which the vibration-rotation behavior of the molecule may be described.