The axisymmetric nonlinear steady flow of a rarefied gas in a pipe of circular cross-section. (English. Russian original) Zbl 0953.76551

Comput. Math. Math. Phys. 36, No. 8, 1123-1131 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 8, 169-179 (1996).
Summary: The axisymmetric steady problem of the steady solution is formulated in a rectangular domain in the meridional plane of flow for the nonlinear kinetic equation with model collision operator and is solved by the finite difference method with boundary condition of diffuse reflection from the side surface of the cylinder. Attention is mainly paid to flow from the vaporizing end into a vacuum.


76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics