Open AccessEQUATION OF CONTINUITY IN THE CYLINDRICAL COORDINATES SYSTEM
Author(s) -
А. Г. Обухов,
N. V. Chunikhina
Publication year - 2016
Publication title -
izvestiâ vysših učebnyh zavedenij. neftʹ i gaz
Language(s) - English
Resource type - Journals
ISSN - 0445-0108
DOI - 10.31660/0445-0108-2016-3-119-122
Subject(s) - coordinate system , cylindrical coordinate system , compressibility , transformation (genetics) , rotational symmetry , spherical coordinate system , heat equation , symmetry (geometry) , mathematical analysis , field (mathematics) , mechanics , mathematics , navier–stokes equations , classical mechanics , physics , geometry , chemistry , biochemistry , pure mathematics , gene
Sophisticated viscous compressible heat-conducting gases arising during heating the vertical field, have a pronounced axial symmetry. Therefore, for the numerical solution of the full Navier - Stokes equations to describe such gas flows is advisable to use a cylindrical coordinate system. This paper describes the transformation of the first equation of the full Navier - Stokes equations. The result of the transformation is to write the continuity equation in the cylindrical coordinate system.