
THE SECOND PROJECTION OF THE MOTION EQUATION IN THE CYLINDRICAL COORDINATE SYSTEM
Author(s) -
D. D. Barannikova,
А. Г. Обухов
Publication year - 2016
Publication title -
izvestiâ vysših učebnyh zavedenij. neftʹ i gaz
Language(s) - English
Resource type - Journals
ISSN - 0445-0108
DOI - 10.31660/0445-0108-2016-5-83-85
Subject(s) - coordinate system , cylindrical coordinate system , projection (relational algebra) , ellipsoidal coordinates , compressibility , equations of motion , classical mechanics , transformation (genetics) , motion (physics) , heat equation , projection method , mathematical analysis , mathematics , physics , symmetry (geometry) , spherical coordinate system , navier–stokes equations , mechanics , geometry , chemistry , biochemistry , algorithm , gene , grating
The complex flows of viscous compressible heat-conducting gas arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the complete Navier-Stokes equations system to describe such gas flows it is advisable to use a cylindrical coordinate system. This paper describes a transformation of the second projection of the motion equation of the complete Navier-Stokes equations system. The result of this transformation is writing of the second projection of the equation of a continuous medium motion in the cylindrical coordinate system.