On one class of exact solutions of the Navie–Stokes system of equations for an incompressible fluid

A class of exact solutions of the system of Navier–Stokes equations corresponding to the vortex flow of an incompressible fluid in a cylinder and a coaxial cylinder is obtained. The behavior of the solution in the vicinity of singular points lying on the axis of the cylinder is studied. The temperature field is calculated based on the control volume method corresponding to the found class of exact solutions.