The viscous heat conducting gas flow in a dihedral angle

Abstract:

We consider the viscous heat conducting gas steady flow caused by the motion of the right dihedral angle in the direction of the edge with the constant velocity. This problem was considered previously in the case of viscous incompressible fluid. It is assumed that the flow is layered, i.e. only one velocity component is different from zero. It is established that in this case occurs the square-law dependence of the enthalpy on velocity without any numerical restriction to Prandtl number. Analogous dependence exists in the boundary layer theory only if the Prandtl number is equal to one. With the help of this dependence, the considered boundary-value problem is reduced to the problem for only one function, which is the velocity of flow.