Derivation and Analysis of the Navier-Stokes Equations in Coordinate System Rotating Around the Vertical Axis

AUTHOR(S):

Ivan V. Kazachkov, Yevgen V. Chesnokov

TITLE

Derivation and Analysis of the Navier-Stokes Equations in Coordinate System Rotating Around the Vertical Axis

ABSTRACT

The Navier-Stokes equations are derived in the coordinate system rotating around the vertical axis. As a starting point the corresponding differential equations are used in the Cartesian coordinates for inviscid liquid with account of possible compressibility and effect of the mass forces (gravity and other ones, e.g. electromagnetic). The transformation of the coordinates is performed and then the Navier-Stokes equations are derived. The obtained equations are analyzed for a number of physical situations.

KEYWORDS

Rotation of Coordinate System; Navier-Stokes Equations; Analysis; Centrifugal Forces

Cite this paper

Ivan V. Kazachkov, Yevgen V. Chesnokov. (2020) Derivation and Analysis of the Navier-Stokes Equations in Coordinate System Rotating Around the Vertical Axis. International Journal of Theoretical and Applied Mechanics, 5, 90-99