Abstract
A general kinematic formula for the rate of change of the total vorticity of a finite volume of a continuous medium is deduced. Two kinematic theorems follow: (1) In a motion filling all space the total vorticity is constant in time, provided that the motion vanishes at infinity to a sufficiently high order; (2) The rate of change of total vorticity within an arbitrary volume is independent of the state of motion at all interior points of the volume. The mechanism of diffusion of total vorticity is then discussed in detail for the case of a viscous, compressible fluid.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
