Solution of a boundary value problem for the Navier–Stokes equations linearized with respect to velocity: Nonisothermal flow of a gaseous medium past a uniformly heated sphere

Abstract

For the problem on a plane-parallel gas flow with velocity U∞ past a fixed uniformly heated spherical particle, we obtain a solution of the Navier–Stokes equations linearized with respect to velocity in the spherical coordinate system with regard to the power-law dependence of the molecular transport coefficients (viscosity and thermal conductivity) and the gas medium density on the temperature. The uniqueness of this solution is proved.