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TsAGI Science Journal

ISSN Print: 1948-2590
ISSN Online: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v40.i6.90
pages 743-762

MOLECULAR-KINETIC DESCRIPTION OF BROWNIAN MOTION OF HEATED NONSPHERICAL PARTICLES IN HIGHLY RAREFIED GAS

Vladlen Sergeevich Galkin
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region, Russia
Sergei Vladimirovich Rusakov
Perm State University, Bukireva St. 15, 614990, Perm, Russia

ABSTRACT

The kinetic equation describing translational and rotational Brownian motion of nonspherical convex solid particles in moving highly rarefied thermally inhomogeneous monatomic gas is derived. The regime of flow around the particles is free molecular, i.e., the characteristic dimensions of particles are much smaller than the average free path of the gas molecules. The interaction between the particles and their effect on the gas phase be neglected. The specular-diffuse law of interaction between the molecules and the particle surface is supposed. The temperatures of particles are equal and differ from the local gas temperature. Such a thermal nonequilibrium leads to the violation of well-known relations between the diffusion coefficients in the spaces of translational and angular velocities and the coefficients of forces and momentums acting on a particle. The coefficients in the Fokker-Planck collision operator entering into the kinetic equation are calculated for the particles in the form of the bodies of revolution. In the case of particles without longitudinal symmetry (circle cone of finite length, hemisphere etc.), the Fokker-Planck collision operator contains the second mixed derivative with respect to the translational and angular velocities.


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