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

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

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...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

Two routes from the Boltzmann equation to compressible flow of polyatomic gases

This paper presents a systematic approach to simulating compressible flow of polyatomic gases using the Boltzmann equation for a discrete set of particle velocities. We derive the complete system of moment equations needed to recover the Navier–Stokes–Fourier equations. One may either circumvent the usual relation between pressure and internal energy density by assigning additional energies to ...

The limiting kinetic equation of the Consistent Boltzmann Algorithm for dense gases

This paper establishes a theoretical foundation for the Consistent Boltzmann Algorithm (CBA) by deriving the limiting kinetic equation. The formulation is similar to the proof by one of the authors that the Boltzmann equation is the limiting kinetic equation for Direct Simulation 66 1011 (1992)]. For a simpliied model distilled from CBA, the limiting equation is solved numerically, and very goo...