Couette flow and heat transfer between parallel plates in a rarefied gas

The efficiency of the method of self-similar interpolation in its simplest demonstrated on the solution of the problem of plane Couette with different temperature plates in the rarefied gas. The analytic solution of the problem is compared with the results, obtained by the direct statistical simulation. The most interesting result is non-monotonous heat flux and changes its sign when you change the sparsity of gas — Knudsen number $\mathrm{Kn}$.