Solution of Boltzmann equation by Enskog-series expansion of distribution functions with respect to Knudsen parameter in presence of several scales of distribution function dependence on time and coordinate

The methodology of plotting the Boltzmann equation solution, when the distribution functions depend on the slow and fast time and coordinates, is analyzed. It is shown that in the case of the distribution function multiscale character the transfer equations are supplemented by the contributions from the relaxation processes. The accounting for the relaxation effects in the energy equation leads to the heat conductivity hyperbolic equation and heat expansion finite velocity and the Newton member of the transfer equation in the viscous stresses tensor will prove to be supplemented by the relaxation summands