Is My Understanding of Material Derivative Correct?

[member 428835]

hey pf! can someone please tell me if my understanding of the material derivative operating over some scalar $\rho$ is correct? basically, from my understanding if we take $\frac{ D \rho}{D t}$ this will tell us how $\rho$ changes as time changes AND how $\rho$ changes as we move our little piece of $\rho$ through space. is this correct?

thanks!

 

[timthereaper]

Yeah, I would say that's pretty much correct.