▪ Abstract In the framework of the classical gas dynamics, no steady flow is induced in a gas
without an external force, such as gravity, by the effect of a temperature field. In a rarefied …

2 Chapter 1. Introduction on. Owing to the derivation of the Navier~ Stokes set of equations,
Chapman~ Enskog expansion is mainly referred to when the relation between fluid …

We present new numerical models for computing transitional or rarefied gas flows as
described by the Boltzmann-BGK and BGK-ES equations. We first propose a new discrete …

F≡ F (x, y, z, vx, vy, vz)≥ 0 that is the density of particle located at the position (x, y, z) with
the velocity v=(vx, vy, vz)∈ R3. Everywhere in this paper, we assume that the steady state …

A unidirectional flow of a rarefied gas between two parallel plates driven by a uniform
external force is investigated on the basis of kinetic theory with special interest in the …

The presented work probes the fundamentals of Knudsen forces. Using the direct simulation
Monte Carlo (DSMC) method, the flows induced by temperature inhomogeneity within a …

A new kinetic model for droplet evaporation into a high pressure background gas,
approximated by air, is described. Two regions above the surface of the evaporating droplet …

A flow of a rarefied gas caused by a discontinuous wall temperature is investigated on the
basis of kinetic theory in the following situation. The gas is confined in a two-dimensional …

Microscale gas flows between two rotating coaxial circular cylinders of infinite length with
different temperatures are investigated. Navier-Stokes-Fourier (NSF) and regularized 13 …

A binary mixture of a vapor and a noncondensable gas around arbitrarily shaped
condensed phases of the vapor is considered. Its steady behavior in the continuum limit (the …