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Is this definition of Reynolds' Transport Theorem correct?

  1. Feb 22, 2017 #1
    One thing I find frustrating when trying to get a handle on this theorem is the number of different forms presented in the literature. I understand this to be due to it being very general theorem applicable to many different contexts.

    Not that the world needs a new, slightly different looking definition of RTT, but I have tried to look at it from a 'fluid parcel' (a.k.a. material volume) and 'control volume' point of view. Based on general reading from multiple sources, this is a definition I've come up with which makes sense to me because it's very similar to the idea of the "Material Derivative". But, is it correct?

    upload_2017-2-22_15-43-10.png

    Thank you in advance.
     
  2. jcsd
  3. Feb 27, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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