Kinetic model and moment method 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...

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

Preparation of Carbon Molecular Sieves from Pistachio Shell and Walnut Shell for Kinetic Separation of Carbon Monoxide, Hydrogen, and Methane

In this study, two Carbon Molecular Sieves using Pistachio shell (CMS P) and Walnut shell (CMS W) were prepared by a chemical vapor deposition method and used for pressure swing adsorption and separation of CO/H2 and CO/CH4. Adsorption isotherms of gases obtained for both CMS’s. The Dubinin-Radushkevich isotherm model was used for comparing pore volum...

Model Reduction in Kinetic Theory

Methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equations are presented. Featured methods include the Chapman-Enskog expansion, Grad’s moment method, and the author’s order of magnitude method. The resulting macroscopic equations are compared and discussed by means of simple problems, including linear stability, shock wave structures, and Couette flow.

On the ellipsoidal statistical model for polyatomic gases

Abstract The aim of this article is to construct a BGK-type model for polyatomic gases which gives in the hydrodynamic limit the proper transport coefficient. Its construction relies upon a systematic procedure: minimizing Boltzmann entropy under suitable moments constraints ([20, 9]). The obtained model corresponds to the ellipsoidal statistical model introduced in [2]. We also study the retur...