The Vorticity Equations in Orthogonal Curvilinear Coordinates

The transformation of the equations of motion of a viscous fluid to orthogonal curvilinear coordinates has been discussed by G. B. JEFFERY, and that of the equations of motion in dynamical meteorology to orthogonal curvilinear coordinates by the present authoi, out the analogous equations for the vorticity do not appear to have attracted the same attention. The first section of this paper deals with the transformation of the vorticity equations to the orthogonal curvilinear coordinates. The second section is devoted to applications to cylindrical and spherical polar coordinates.