TY - JOUR

T1 - Influence of the dispersion on boundary conditions for continuous models.

AU - Prozorova, E.V.

PY - 2010

Y1 - 2010

N2 - At present for continuous mechanics formulation of equilibrium force conditions are used. These give us symmetric pressure tensor and disturbance of continuous medium. The purpose of this work is development of more full mathematical model for continuous mechanics and rarefied gas. It is devoted to the influence of consideration an angular momentum variation in an elementary volume and cross flux on it’s sides. Taking into account the angular momentum law nonsymmetrical stress tensor is received. The method for calculation of nonsymmetrical part is suggested. For rarefied gas the second term in collision integral of the Boltzmann equation is taken into account to calculate the self- diffusion and thermo-diffusion. They received after expansion the distribution functions in collision integral over space coordinates near the point x. For continuous regime for plate shock waves angular momentum does not work but the self- diffusion give additional diffusion. The convect

AB - At present for continuous mechanics formulation of equilibrium force conditions are used. These give us symmetric pressure tensor and disturbance of continuous medium. The purpose of this work is development of more full mathematical model for continuous mechanics and rarefied gas. It is devoted to the influence of consideration an angular momentum variation in an elementary volume and cross flux on it’s sides. Taking into account the angular momentum law nonsymmetrical stress tensor is received. The method for calculation of nonsymmetrical part is suggested. For rarefied gas the second term in collision integral of the Boltzmann equation is taken into account to calculate the self- diffusion and thermo-diffusion. They received after expansion the distribution functions in collision integral over space coordinates near the point x. For continuous regime for plate shock waves angular momentum does not work but the self- diffusion give additional diffusion. The convect

KW - angular momentum

KW - conservation laws

KW - nonsymmetrical stress tensor

KW - Boltzmann equations

KW - Chapman-Enskog method

KW - conjugate problem the Navie-Stokes

KW - solid body

KW - beam

M3 - статья

VL - 16

SP - 119

EP - 135

JO - ПРОБЛЕМЫ НЕЛИНЕЙНОГО АНАЛИЗА В ИНЖЕНЕРНЫХ СИСТЕМАХ

JF - ПРОБЛЕМЫ НЕЛИНЕЙНОГО АНАЛИЗА В ИНЖЕНЕРНЫХ СИСТЕМАХ

SN - 1727-687X

IS - 2

ER -