محاسبات عددی بهره وری بالا برای مدلسازی دینامیک گاز بر اساس DFT و تقریب High Productivity Numerical Computations for Gas Dynamics Modelling Based on DFT and Approximation

I. INTRODUCTION Active scientific research on heat transfer from a rotating disk has been underway for several decades. The main results of these studies can be found in a number of papers and monographs [1-4]. This increased interest in the problem is due to the fact that the rotation of the flow initiated by the rotation of the mechanical system can be found in a variety of engineering applications and industrial installations. Systems containing rotating discs are used in gas-turbine and electrochemical plants, chemical reactors, in brake systems of transport, etc. For today, interest in this issue is not decreasing, as evidenced by the materials of many relevant scientific and technical conferences and articles. In a limited number of cases, the flow above the rotating surface can be viewed as a modified flow above a fixed surface, provided that the observer is on a rotating surface, that is, moves along with it. However, in most cases, the action of centrifugal forces or the nature of the spatial boundary layer causes the formation of significant additional flows, which can not be neglected. In this case, the description of the resultant flow can be very complex and, according to [5], “practically any rotating system releases new and unexpected flow characteristics in the case of a complete stability analysis or in experimental studies due to the widest variation of the hydrodynamic variables”. Due to the fact that in convective heat transfer in the rotating systems the strongest and most complicated way is connected with the flow, these two phenomena in the complex are also the subject of scientific and practical interest. II. FORMULATION OF THE PROBLEM Based on the description of the reactor unit for the installation of gas-phase epitaxy, cited in [2], in order to optimize the epitaxy process taking place in it, it is also necessary to investigate the processes of heat transfer and the motion of an external forced flow for the case of a rotating disc whose rotation plane, in general, is at an angle to the main flow.