Open AccessFIRST PROJECTION OF THE EQUATION OF MOTION IN THE CYLINDRICAL COORDINATE SYSTEM
Author(s) -
А. Г. Обухов,
Р. Е. Волков
Publication year - 2016
Publication title -
izvestiâ vysših učebnyh zavedenij. neftʹ i gaz
Language(s) - English
Resource type - Journals
ISSN - 0445-0108
DOI - 10.31660/0445-0108-2016-4-90-92
Subject(s) - coordinate system , cylindrical coordinate system , projection (relational algebra) , compressibility , equations of motion , classical mechanics , transformation (genetics) , motion (physics) , heat equation , projection method , ellipsoidal coordinates , mathematical analysis , symmetry (geometry) , spherical coordinate system , physics , mathematics , navier–stokes equations , mechanics , geometry , chemistry , algorithm , biochemistry , gene , grating
It is proved that complex flows of the viscous compressible heat-conducting gas, arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier-Stokes equations for description of such gas flows it are advisable to use a cylindrical coordinate system. This paper describes the transformation of the first projection of the equation of motion of the full Navier-Stokes equations system. The result of the transformation is a record of the first projection of the equation of a continuous medium motion in the cylindrical coordinate system.