The compressible heat conductive boundary layer on a needle
We consider the stationary spatial axisymmetric flow of the
viscous compressible heat conductive fluid along a semi-infinite needle.
It is described by a system of three partial differential equations
with boundary conditions at infinity and on the needle.
Its truncated system, describing the flow in the boundary layer, was selected by methods
of Power Geometry.
In self-similar coordinates this system is reduced to a system of two ordinary differential
equations and on its invariant manifold ut was
reduced to a second order differential equation.
Analysis of solutions of the equation, made by methods
of Power Geometry and numerically, shows the existence of
families of solutions satisfying all boundary conditions.
We used results of our preprint 'Methods of a study of the boundary layer on a needle'.
Publication language:russian, pages:38
Mathematical problems and theory of numerical methods