Renyolds Transport Theorem from Navier-Stokes?

[JohnSimpson]

I've been trying to figure out how I can start with the Navier-Stokes equation and end up at the Reynolds Transport Theorem. Could anyone provide a link to a derivation of this? or some advice of some sort?

 

[Astronuc]

RTT is just the integral form of NS.

http://en.wikipedia.org/wiki/Reynolds_transport_theorem

http://en.wikipedia.org/wiki/Navier-Stokes_equations#Derivation_and_description

 

[Andy Resnick]

The Reynolds transport theorem is a general statement of a conservation law. Basically, it means that the rate of change of any quantity within a volume is given by the flux in and out of the volume as well as the change of the volume (which occurs under deformation).