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
Translated title of the contributionInfluence of the dispersion on boundary conditions for continuous models.
Original languageMultiple
Pages (from-to)119-135
JournalПРОБЛЕМЫ НЕЛИНЕЙНОГО АНАЛИЗА В ИНЖЕНЕРНЫХ СИСТЕМАХ
Volume16
Issue number2
StatePublished - 2010

    Research areas

  • angular momentum, conservation laws, nonsymmetrical stress tensor, Boltzmann equations, Chapman-Enskog method, conjugate problem the Navie-Stokes, solid body, beam

ID: 5152767