A problem of the motion of a viscous and heat conducting gas

Abstract

TO investigate the asymptotic laws of the streamlining of solids of revolution by the flow of a viscous heat conducting gas, in [1] a system of linear third-order partial differential equations was obtained, which to a first approximation, describes the damping of perturbations at large distances from the body if the structure of the flow is mainly formed under the action of dissipative factors. A solution was found in the class of self similar functions. The detailed investigation carried out in [1] showed that it can be interpreted physically as a source placed at the coordinate origin in a sound flow approaching infinity. In this paper these results are used to construct the solution of a boundary value problem which is formulated below and is usually stated for the streamlining of axisymmetric solids of revolution. With some assumptions its uniqueness is also proved.