The general form of Maxwell’s velocity slip boundary condition for rarefied gas flows depends on both the geometry of the surface and the constitutive relations used to relate the viscous stress to rate of strain. The dependence on geometry is often overlooked in current rarefied flow calculations, and the generality of the constitutive dependence means the condition can also be usefully applie...

A Legendre expansion of the scattering kernel, a conservation condition and some exact solutions are reported for the McCormack kinetic model that is used to describe a binary mixture of rarefied gases.  2005 Elsevier SAS. All rights reserved.

We consider the Boltzmann equation with external fields in strictly convex domains specular reflection boundary condition. construct classical $C^1$ solutions away from grazing set under assumption that field is $C^2$ and normal derivative of positive bounded $0$.

A particle, shaped as an ellipsoid of revolution and rotating about an arbitrary axis, experiences a torque in a rarefied monatomic gas because of the impact with the gas atoms. This torque is calculated for the case where the linear dimensions of the ellipsoid are small compared with the mean free path of the gas. The interaction of the gas atoms with the ellipsoidal surface is taken into acco...

Sound wave propagation in rarefied monatomic gases is simulated using a newly developed unified gaskinetic scheme (UGKS). The numerical calculations are carried out for a wide range of wave oscillating frequencies. The corresponding rarefaction parameter is defined as the ratio of sound wave frequency to the intermolecular particle collision frequency. The simulation covers the flow regime from...

Mean angular momentum of two objects encountering from almost circular heliocentric orbits up to their Hill spheres is studied. Results of these studies are used for discussion of models of formation of binaries at the stage of rarefied preplanetesimals. Some collided rarefied preplanetesimals could have a greater density at distances closer to their centres, and sometimes there could be two ce...