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August 20, 2020, 12:04 |
What is Reynolds transport theorem?
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#1 |
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Sagar karan
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I will put my doubts related to this question if you like to answer......
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August 20, 2020, 13:11 |
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#2 |
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Is there a reason why you don't just google "reynolds transport theorem"? It is a well-documented theorem that essentially expresses the time rate of change of a quantity contained within a fixed mass to a set of integrals that represent the time rate of change of the quantity within and passing through a control volume. The control volume may be fixed or moving.
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August 20, 2020, 14:00 |
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#3 |
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Sagar karan
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Thanks to show interest in the question!. Yes, there is a reason because I have stopped at certain line while reading it on Googlehttps://sbainvent.com/fluid-mechanic...sport-theorem/
I am reading from the given above link and I have stopped in the given image that I sent Can you please explain the doubt red line circle around the given equation in the image? |
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August 20, 2020, 14:55 |
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#4 |
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I'm not sure what reference you are using but it looks to me that the line you have marked as unclear contains an error. Since I can't see more than what you have posted I can only speculate based on the fact that the equation you have circled is not dimensionally consistent, among other things. I would look for another reference to use.
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August 20, 2020, 17:04 |
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#5 | |
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Sagar karan
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Quote:
The image I have sent here is given in the above link. Can you explain the 2nd equation of the image? I want explanation only on that equation... |
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August 20, 2020, 17:26 |
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#6 | |
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Filippo Maria Denaro
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The product Bcv*B1 makes no sense in my opinion |
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August 21, 2020, 02:17 |
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#7 |
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Sagar karan
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August 21, 2020, 08:43 |
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#8 |
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I would agree with that. However, there are other problems with that writeup as well. The math is sloppy in making the step after that even with the minus sign. If you are really interested in studying the RTT, there are better resources out there. This link (hopefully it works for you) is one that makes use of Leibniz's theorem, but there are others out there that do a better job from a standpoint similar to what you have.
https://www.me.psu.edu/cimbala/me521...em_and_RTT.pdf |
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August 21, 2020, 12:27 |
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#9 | |
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Sagar karan
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Quote:
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August 21, 2020, 14:16 |
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#10 | |
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Sagar karan
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Quote:
distorts in the flowfield, the material volume moves and distorts with it. Have I understood the given statement right? |
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August 21, 2020, 15:38 |
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#11 |
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Filippo Maria Denaro
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A rigorous demonstration of the RTT is given here
https://link.springer.com/book/10.10...-1-4684-0364-0 |
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August 21, 2020, 15:56 |
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#12 | |
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Sagar karan
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Quote:
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Tags |
cfd - post, transport equation |
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