Reynolds Transport Theorem

Organized by textbook: learncheme.com/
Reynold's Transport Theorem is described, including why it was developed and how it is used in different situations. Made by faculty at the University of Colorado Boulder, Department of Chemical and Biological Engineering.
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[@luthmhor]

Wow, this is really really well done. Her explanation is perfect, and it isn't confusing at all because she explains it in so few words, no extraneous data is in there to mess us up. If she wasn't reading off a script I am extremely impressed, very eloquent explanation.

[@LearnChemE]

Appreciate the kind words. This project is funded by NSF, CU Boulder, and Shell. We are continually trying to improve and obtain more funding to continue. Let us know if you have suggestions.

[@LearnChemE]

The continuity equation refers to mass being conserved. In this case we wanted velocity of the fluid and made some assumptions on compressibility of the fluid. The Reynolds transport theorem can also be applied to momentum, velocity, acceleration, etc, pretty much any physical parameters. So it may not boil down to continuity equation every time.

[@JesusMartinez-zu3xl]

what took my professor three lectures worth you explained in 8 minutes!! Thank you so much!!

[@feyzarafiq6082]

When do we use mass, angelur momentum or momentum?? like everybody gets the RTT but aint nobody explain when to use which of these?

[@budapesteBR2012]

perfect...i am brazilian, and your english was so easy to understand that i could see the entire video....tks a lot...make more videos and stay doing this awesome job.

[@mohammedsakar1655]

It is very helpful thanks, but in the example i think there is a mistake because V1 is higher than V2 when A2 is smaller than A1, how can that?

[@sepidehmajd593]

great. thanks. but could you tell me why b is equal to 1?

[@yazadjabbarc]

I believe the example part is great. Can you please explain RTT with more of the complex examples in which the terms of RTT dont become zero and may have complete use of RTT. THANK YOU.

[@LearnChemE]

Sorry we missed your comment. n is the normal vector. So you are taking the dot product of the velocity with the normal. If "something" enters perpendicular to the control surface, it is 180 degrees from the normal, and thus it is equal to -1. If its coinciding with the normal, the dot product is with 0 degrees and equal to 1. Anything else will have to take into account the cos or sin of the angle.

[@kathryns5324]

Thank you soo much!!! :D it's extremely easy to follow! I have to use youtube videos, but my teacher doesn't go into this much explanation, but you do! Thanks again!

[@dingzhegan5708]

why the b associated with B is equal to one?

[@LeserDrac333]

Very good explanation. I fully understand this 8 mins+ video. (I haven't read much about the theorem , I only recognize it during lecture and at that time was sleepy so I wasn't focus). I think I'm going to read the book now. The theorem and the final formula(based on assumption cancellation) were very interesting.

[@Rajkumar8799.]

This channel from america tell me

[@karthikp2650]

I don't understand the integration comes with partial derivatives together.

[@pianoman47]

This is great. So (in this case at least) it all boils down to the continuity equation. Is that always the case?

[@prototypeko]

wow this lady is just awesome... I learned dimensional analysis from the same woman.. and now i learned Reynolds transport thorem!!

[@sonulokhandesharingexperie8353]

Link please... What is her name btw

[@dokterdandokter]

Great stuff. Thank you for taking the time to upload these videos. You should have a donate tab.

[@nazmulhossaintanim2112]

Can anyone tell me, why the associative intensive property b=1?.....03:45 min

[@Emma-iq6op]

Since this example requires conservation of mass (fluid in is the same amount as fluid out), our term B is mass. b is B/m (B is an extensive property, b is an intensive property). b=m/m = 1

[@tokotadh5743]

the extensive property here is the mass so if u divide it by mass u will get 1

[@ginaxs7975]

^^thanks!

[@Arviss93]

Thanks for the video, explained in a simple, understandable way.

[@bl4ckm4mb4f0rlif5]

This is a service to humanity

[@JCB16328]

I wish I saw this video before my fluid mechanics' final lol

[@karimkhan1312]

your lecture is very good. I am advocate in india-- i wish i had a chance of doing research under your guidance.

[@rhinos_hate_fire]

Wow! Joan Cusack really knows her stuff!

[@niteshkatwal5428]

you should have a better and harder example to prove your point.

[@LearnChemE]

We can add some more examples to this. Thanks for the suggestion.

[@atb0007]

whats the significance of "n" exactly? what is it?

[@MrAmgadHasan]

Udai Shankar It's a unit vector normal to the area pointing out of the system. You can replace the term V . n with Vn, which is the the component of the velocity normal to the area.

[@feyzarafiq6082]

sign

[@KD35USA]

That was really helpful. subscribed

[@viggomoe3496]

After 7min 10sek in the video, it is said that V3 is flow in, so V3 is positive. Is that correct? is'nt V3 negativ?

[@LearnChemE]

For the purpose of control volumes and using the Reynolds transport theorem, the dot product of the velocity with the normal for flow into the control volume will be a negative value. So V3 dot n is negative. V3 itself is in the positive direction, but we dont use the vector in the setup. For momentum balances you would.

[@sixpooltube]

Remeber that V dot n is (magnitude V)(magnitude n)(cosx). Magnitudes are always positive. The cosx term tells you to use -1 or 1.

[@basedonprinciple]

nv3 (180 degrees apart)

[@Heddyna]

Perfect explanation!

[@DanielStLouis-zx7pj]

Why do we know that little b is equal to 1?

[@LearnChemE]

Good question. The intensive property is the extensive property divided by the mass. In this case, B is the mass, so little b is B/mass or mass/mass or just 1.

[@pabloalbarran7572]

Thx for the video, I got a questionn; can you further explain of why b=1?

[@julysburballs]

cos' b = B / m... and in this case the "B" is also the mass...so: mass / mass = 1

[@nurnovilina]

@@julysburballs so, if the B is not mass then b not 1? coz I wonder about that too

[@jimmyalmacddissi9426]

great explanation! thank you so much!!

[@diyaazaghloul756]

Amazing video thank you

[@amandadube156]

You are my hero!

[@tolgat.9352]

Thank you so much teacher

[@hamzamustafa8214]

Thank you so much. God bless :)

[@shefow]

really good!

[@uchejombo555]

thank you soooo much

[@pythonanimalia]

awesome

[@10choochoo]

Hope she knows shes color blind....the System is deff brown not red

[@andrewchoi2780]

Best fucking video. Bless you.

[@1234SLUR]

4:32 shout out lil b

[@blahbleh5671]

SHUT up

[@NoseBleedrummer]

CU BOULDER OH HELL YES.

[@atb0007]

i would be very grateful if anybody from the pool of 15k viewers would care to reply..? :p my exams coming up real soon

[@McBobtheruggaman]

Ryan Reynolds

[@rickysmith1313]

bless up, super helpful fam

[@yunusemreuysal7504]

Teyzem benim be

[@afrinkhatoon4105]

Achha tha

[@taylorbateman8339]

It's SPECIFIC property, not intensive property. But good video!

[@Babunea]

nope

[@niteshkatwal5428]

what is the point of using RTT if we could have used the continuity equation easily.8:23 mins of worthless talk

[@LearnChemE]

RTT is the base theorem that we have used to derive the continuity equation in integral form (using mass and b=1) and derives the conservation of linear momentum (using b= velocity). Its the integral method compared to differential methods like the Euler equations.

[@niteshkatwal5428]

i still didn't get ur point.anyways u must be right cause i am still studying my bachelors. could u be more specific?

[@pythonanimalia]

continuity is proved by using this theorem...u must have studied various approaches to study fluid mechanics...

[@andreafani7496]

The continuity equations is obtained by using the RTT like they showed. In particular, you apply the localization lemma on the integral form of N-S equations.