The linearized Boltzmann equation with Cercignani–Lampis boundary conditions: Basic flow problems in a plane channel

RDM Garcia, CE Siewert - European Journal of Mechanics-B/Fluids, 2009 - Elsevier
A polynomial expansion procedure and the ADO (analytical discrete-ordinates) method are
used to solve a collection of basic flow problems based on the linearized Boltzmann …

Symmetry of the linearized Boltzmann equation and its application

S Takata - Journal of Statistical Physics, 2009 - Springer
A symmetric relation of macroscopic quantities between two different steady problems of the
linearized Boltzmann equation is derived. A few applications to half-space problems are …

Drag on a sphere in a slow flow of a binary mixture of rarefied gases

D Kalempa, F Sharipov - Physics of Fluids, 2023 - pubs.aip.org
The drag force on a sphere in an isothermal binary mixture of rarefied gases is calculated on
the basis of the McCormack model for the linearized Boltzmann equation. The diffuse …

Rarefied gas mixtures flows driven by surface absorption

A Frezzotti, GP Ghiroldi, L Gibelli - Vacuum, 2012 - Elsevier
Steady one-dimensional flows of a binary mixture of hard sphere gases in the presence of
an absorbing planar wall are studied by numerical solutions of two coupled Boltzmann …

Half-space problem of the nonlinear Boltzmann equation for weak evaporation and condensation of a binary mixture of vapors

S Takata, F Golse - European Journal of Mechanics-B/Fluids, 2007 - Elsevier
The half-space problem of evaporation and condensation of a binary mixture of vapors is
investigated on the basis of the kinetic theory of gases. Assuming the Mach number of the …

Parabolic temperature profile and second-order temperature jump of a slightly rarefied gas in an unsteady two-surface problem

S Takata, K Aoki, M Hattori, NG Hadjiconstantinou - Physics of Fluids, 2012 - pubs.aip.org
The behavior of a slightly rarefied monatomic gas between two parallel plates whose
temperature grows slowly and linearly in time is investigated on the basis of the kinetic …

The temperature-jump problem based on the linearized Boltzmann equation for a binary mixture of rigid spheres

RDM Garcia, CE Siewert - European Journal of Mechanics-B/Fluids, 2007 - Elsevier
An analytical version of the discrete-ordinates method (the ADO method) is used with
recently reported analytical forms for the rigid-sphere scattering kernels to establish a …

Efeitos de evaporação em gases rarefeitos

CS Scherer - 2009 - lume.ufrgs.br
Neste trabalho, o fenômeno de evaporação em gases rarefeitos e analisado, para o caso de
uma espécie de gás bem como de misturas binárias. Evaporação fraca e forte são …

[PDF][PDF] Fluid models and simulations of internal rarefied gas flows

K Aoki, S Takata - rivmat.unipr.it
Fluid flows in small systems become increasingly important in various applications such as
micromechanical systems. The present article focuses its attention on internal rarefied gas …