Rarefied gas dynamics and its applications

Abstract:

The Navier-Stokes equation is applied to calculate gas flows in the hydrodynamic regime when intermolecular collisions dominate а gas-surface interaction. In the free-molecular regime, the intermolecular collisions are neglected and the motion of every molecule can be considered independently on each other. In the transition regime, the molecular mean free path is comparable with a characteristic size of flow so that the Navier-Stokes equation is not valid anymore and the kinetic Boltzmann equation must be applied. Another approach for this regime is the Direct Simulation Monte Carlo (DSMC) method. Both approaches require great computational efforts. In the presentation, a review the recent results of rarefied gas dynamics will be given with examples of their applications to practice. More specifically, an importance of intermolecular potential and its influence on flow characteristics will be shown. Some information about the peculiarities of gaseous mixture flows will be also given.

Bio:

Prof. Felix Sharipov studied at the Moscow University of Physics and Technology, Faculty of Aerophysics and Space Research. He obtained his Ph.D. at the Ural State Technical University in Russia. In 1988, he joined the Physics Faculty of the Ural State University where he set up his activity in rarefied gas dynamics. In 1992, he moved to the Federal University of Parana in Brazil where he is currently Professor at the Physics Department. At this department, he built up a group on modelling of gas flows in microscale. His research interests are numerical and analytical methods of rarefied gas dynamics with applications to transport phenomena, microfludics, vacuum technology, aerothermodynamics etc. His group develops both probabilistic and deterministic approaches. The former represents the Monte Carlo methods, while the latter is based on the kinetic Boltzmann equation.  Professor Felix Sharipov published more than 120 papers in peer-reviewed journals, two books and several chapters for handbooks.  He was a guest editor of several special issues in “Vacuum” and currently he is a member of Editorial Board of this journal.