Fluid Mechanics: Reynolds Transport Theorem, Conservation of Mass, Kinematics Examples (9 of 34)

0:00:10 - Reynolds transport theorem, control volume and system
0:32:32 - Example: Flow through control surface
0:45:27 - Conservation of mass for a control volume
Want to see more mechanical engineering instructional videos? Visit the Cal Poly Pomona Mechanical Engineering Department's video library, ME Online: www.cpp.edu/meonline
This lecture series was recorded live at Cal Poly Pomona during Fall 2014. The textbook is Munson et al., "Fundamentals of Fluid Mechanics (7th edition)."

[@misfit_lover]

These lectures are amazing. Shout out to anybody currently watching all 19 of these in preparation for their final exam.

[@NoelAWinslow]

19?? You mean 34??

[@misfit_lover]

@@NoelAWinslow 19 was all I needed for Fluids 1

[@andrewsenorans8077]

Send help

[@jamalcrawford7571]

I had no clue what my professor was doing in class and the book confused me. This was extremely helpful and I understood the topic.

[@CPPMechEngTutorials]

Great!

[@marypapapao]

I’m studying aerospace engineering in Portugal, and all of these videos have been my salvation for my Fluid Mechanics class! Thank you very much!

[@CPPMechEngTutorials]

Olá! We are glad they are helping.

[@japenunes]

hey!!! Mechanical engineering at IST too, same situation as you!! :p

[@GM-dl8fp]

Aparentemente eles meteram essa…

[@ahmaddoudin6811]

i just can't express how thankful i am for the effort that is put from the professor to explain such concepts easily, just a big fat thank you from my heart.

[@thesoupin8or673]

You are literally saving my life on this fluid mechanics midterm I have tomorrow, RTT finally makes sense to me! I should have watched this so long ago

[@craiggas]

Wow, an incredible teacher, why do most professors teach such an interesting subject in such a dry way generally?

[@GoutamDAS-ls1wb]

What an amazing resource for all of us who are trying to learn this by ourselves! I wish I had this Professor when I was in school.

[@justaman553]

Student from Georgia tech here and you are making my life much easier thanks

[@CPPMechEngTutorials]

Go Yellow Jackets!

[@Kanza535]

Sameeee

[@AS-zf6ky]

OMG SAME

[@rehabahmed7701]

i was searching for vedio discuss RTT then i found you. i'm lucky to find this vedio .you Ara fantastic professor

[@jimmysfox]

Very helpful , easy to understand explanations !

[@mehdi.sajadi]

you make complicated things simple man, thank you very much

[@asdfasdf6587]

I found this helpful and not as boring as it should be, thank you :)

[@CPPMechEngTutorials]

The Reynolds transport theorem (RTT) isn't the most exciting topic, but it is the foundation for the control volume approach to solving fluid dynamics problems -- conservation of mass, momentum, and energy come from RTT.

[@htwang4228]

Excellent explanation for Cv vs System! ! 27 min: one small “improvement “ for the presentation: ﹉ （B 3,“t + dt” - B 1,“t“) / dt = B 3,“t + dt” / dt - B 1,“t” /dt = . B out - .B in ﹉ :)

[@jefro2561]

Wow que facil se le entiende y que ordenado explica todo. Excelenteeeeeeeeeee

[@alexmok3010]

This prof is a legend

[@JesusMartinez-zu3xl]

I love how you use your notes to help obtain the equations while our professor doesn't allow us to use anything.

[@Yodavid1]

is it so difficult to add a link to the playlist?

[@zacharydavis4398]

Great content. Thanks

[@derrick8044]

13:43 uniform and non-uniform velocity 53:42 continuity eqn condition: flow must be steady state, uniform in velocity, & incompressible(Qin=Qout)

[@UwinIquit]

May I asked why you did not lecture about Material derivative?

[@ahmedqassim2215]

4 ch what the book that I can get this question from it>>>>>>please can u answer me

[@user-dw8lv6sy2y]

여러가지 입자들 하나하나를 일일히 계산하면서 전체의 흐름을 예측한다는 것은 거의 불가능에 가까울 것입니다. 하지만 영상에서 활용된 레이놀드의 이론을 사용한다면 이런류의 문제를 쉽게 해결할 수 있어 큰 도움을 받았습니다.

[@albertp.6257]

Wow this professor is amazing! Seriously thinking about going to grad school in Pomona now

[@CPPMechEngTutorials]

Great! But keep in mind that this is an undergrad course. Graduate level fluid mechanics involves a lot more math.

[@siddhartharaja9413]

6 dislikes by those who are studying one day before their exam

[@CPPMechEngTutorials]

Possibly. Or maybe they were looking for a video on Ryan Reynolds.

[@youtubesubtitles9741]

I started studying one day before the exam and ill give this a well deserved like

[@bowbs5409]

this is too true... gotta love fluid mechanics

[@azzamklc7664]

@@CPPMechEngTutorials best comment ever :D

[@muhammedeminural3333]

@@CPPMechEngTutorials I laughed so hard xDD

[@joaopedrorodolfo6583]

You're amazing! Thanks a lot

[@CPPMechEngTutorials]

Thanks!

[@loayalahmad108]

Better than my Prof.

[@CPPMechEngTutorials]

Dr. Biddle is one of our best instructors.

[@khamisi__6378]

thank goodness for youtube!!

[@CPPMechEngTutorials]

Yes, KZbin is amazing.

[@rtrt2889]

Biddle is the best!!

[@conhecimentonatural2225]

Nice class! The Professor thaught the Reynold Transport Theorem in an understandable way! I'm student of Automotive Engineering in Brazil, these classes have been very useful. Thanks! One doubt: what is the text book used by the Professor?

[@CPPMechEngTutorials]

Check out the show notes just below the video.

[@necatigoren9187]

At 26:17 i don't understand how it equals the times rate of change of extensive property of control volume because it is only the difference of B2 property for dt and not also B1 . Can you help me please?

[@dondomantay5932]

Dr. Biddle cleared that out in his next lecture. Before rearranging the terms, he forgot to add and subtract (0) the limit of B in region 1 at t + dt divided by dt as dt approaches 0.

[@tonyl.1426]

perfection...

[@jonganpark5689]

CV consists of region 1 and region 2, but the first term of the rearranged equation has only region 2. How it can be the rate of change of the extensive property in CV?

[@dondomantay5932]

Dr. Biddle cleared that out in his next lecture. Before rearranging the terms, he forgot to add and subtract (0) the limit of B in region 1 at t + dt divided by dt as dt approaches 0.

[@georgepopovic1322]

great

[@kuntarinirahsilawati920]

What is the title of his lecture in 10:14 which he erased? I am searching of it. If there is a video of the erased lecture, I would be really glad. What is the title of the video?

[@kuntarinirahsilawati920]

I founf it! It's at 36:45 kzbin.info/www/bejne/Y3K2anqphZZ0mZo

[@cihatkaradag6941]

Thank u so much sir Best Regards :)

[@CPPMechEngTutorials]

Our pleasure.

[@bickromsahamithu7193]

how A(theta) = |A|?

[@explode3504]

we are going to ignore the legend at 2:11 ??

[@Ringo.Cirta25]

استاذ لطيف

[@atillaus9168]

sorry I never heard area vector maybe you mean V. n A (n is unit vector perpendicular to the surface) instead of V.A. I mean an area is a scalar property

[@KakarotM99]

Nope area elements da are vectors qualities with directions poiting normal to the surface.

[@_Kipkorir]

2020 and I am here.

[@Alpha-gj1pz]

the fact that a great teacher also needs his notes to derive equation even after so many years of experience is shocking, when our teachers/professors ask us to memorize all the derivations of fluid mechanics for the final exam. its so messed up.

[@ProfessorDingus]

Yeah but a curve is common meaning 50% or maybe less gets you through. I don't to learn from a 50% paper.

[@jiajunlei7783]

Q=V*A=V*Aθ*cosθ=|V|*|A|*cosθ=vector(V)*vector(A), this derivation starts from numerical numbers ended up with vector form, anyone could explain step 2 to 3 in this derivation I showed at beginning? why V*Aθ*cosθ=|V|*|A|*cosθ?

[@bickromsahamithu7193]

even I've got similar problem here did you figured it out?

[@rebeccasmith815]

This is needed when the velocity is not normal to the CSA. The cos theta is used to account for the component of the vector that is normal to the CSA.

[@mrzombiesbo]

Crazy to think Ryan Reynolds contributed so much to fluid mechanics

[@CPPMechEngTutorials]

Reynolds looks pretty good for someone born in 1842.

[@Campnou80]

Neydi sebep sevgilim... Senden çektiğimmm...

[@jmannUSMC]

I should have picked CPP over CSULB :( I can actually understand this professor.

[@CPPMechEngTutorials]

It's never too late to transfer. :)

[@ericaguilar9382]

who was your professor? I'm taking fluids in CSULB right now

[@Henry-tong]

I can't understand since 9

[@nyazz22]

I have an exam in 5 days and I'm still having trouble understanding this concept. I am writing this before watching the lecture. Be back later to tell you if it cleared up anything for me. Toodaloo

[@CPPMechEngTutorials]

How did you do on the exam?

[@Oscar-jg9gg]

@~6:00 A should be Atheta.

[@tocalike9318]

What? Colors Du i Like

[@eritreanmus]

[@CPPMechEngTutorials]

:)

[@ozzyfromspace]

I'm studying Maxwell's Equations, where you can get far by thinking of the various tensor fields as fluids, hence my watching these videos. I'm a dropout...and clearly very bored lol

[@macquarrie3230]

I'm here because my professor at CP SLO is useless

[@ThaRealChuckD]

I appreciate his effort. Hmmm. I'd have done it different. Uh, well the 2 dimensional control volume. CVs are not 2 dimensional in reality. He's leaving stuff out. All I'm saying.

[@ozzyfromspace]

propagation of an electron wave function across a *2D* graphene film in a low frequency quantum field. Enjoy the example, and best wishes with your studies. I do amateur computational electromagnetics and a lot of my math ends up involving "2D volumes". Maybe not so useful for fluid mechanics, I understand :)