Fluid Mechanics: Linear Momentum Equation and Bernoulli Equation Examples (11 of 34)

0:00:10 - Conservation of linear momentum for a control volume
0:07:00 - Example: Conservation of linear momentum for a control volume
0:30:27 - Example: Bernoulli equation (continued at 53:15)
0:40:38 - Example: Bernoulli equation
0:53:15 - Example: Bernoulli equation (continued from earlier)
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)."

[@annikak8101]

I wonder why our professors spend 80 minutes on the derivation of an equation and only the remaining 10 minutes on its application. This video is exactly what students in engineering need!!! Thank you so much.

[@abhishek0o7]

Same situation in my country too!!

[@frenchimontana6490]

at least you get the ten minutes, in my situation I literally begged my lecturer to give us some homework problems since I lost hope in his boring lectures, guess what? I swear he give us one assignment worth 20% and it is a scientific manuscript. #USELESS

[@zaynzain6]

Not in my country 😂

[@peanuttttttttt843]

Fluid mech exam in 6 days. Dr. Biddle has been the best exam study resource.

[@s5960]

Literally haven't come across anyone who explains fluids any better on youtube or my own prof. Much appreciated from the UK.

[@CPPMechEngTutorials]

Thanks!

[@25parthy]

The best Fluid Prof, I came across.CPP & prof appreciated for their efforts. if similar videos on index notation, 3d stress, strain of solid mechanics it will be good.

[@diegoperez3526]

As a COVID Engineering student here in Texas, thank you very much! This was explained very well and made my night of studying much better. Our professors are finding it difficult over this Fall 2020 and the lectures have been lacking, but nice to know that I can rely on your videos to supplement my learning.

[@MrParth1000]

amen

[@santiagogomezpu]

This man is a saint! I'm understanding now almost everything that I didn't understand last semester in my Fluid Mechanics class. Keep up with the good work! Thank you, professor Biddle.

[@edutechguruengineeringlear4280]

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[@yeongsangjo8471]

Professor, I’m a gatech student and thanks so much for these videos. I’m not a native english speaker, but this video is phenomenal. Each video is so precious to me. I hope our professors can teach like this or if you could come to our school to teach the fluid. Much appreciated from student at gatech.

[@CPPMechEngTutorials]

Thanks for the nice message. :)

[@stephaniesolis6247]

gatech student here too taking fluids, I wish we had professors like you here.

[@CPPMechEngTutorials]

@@stephaniesolis6247 It's never too late to transfer here.

[@francesskulj6194]

Thanks to you Dr Biddle, my friends and I got almost perfect on our first assignment and midterm. You are legit a saviour thank you for your amazing teaching!

[@aaronmorgan2475]

good job bro! that's quite an achievement!

[@puppppppies]

My prof is both a horrendous teacher and a very harsh grader, and our textbook is awful too. She failed a good 40% of the students last semester. You're my only hope of passing at this point, so thank you for posting these.

[@j.f.4859]

Fantastic lecture style.

[@Eric-mn5ek]

Thanks for this , certainly helped with Fluids understanding.

[@CPPMechEngTutorials]

You're welcome.

[@user-dw8lv6sy2y]

유체역학에서 배우는 내용이 비단 유체역학이라는 과목에 국한되는 것이 아니라는 사실을 깨달을 수 있었습니다. 여기서 교수님이 가르치시는 내용들을 바탕으로 여러가지 다른 상황에 적용할 수 있는 힘을 기를 수 있는 것 같습니다.

[@nyjets2020]

incredible job

[@catherinesc88]

at 1:07:40 is P1 in the equation P1+Gamma*H equal to Patm?

[@RahulKumar-bx7my]

in the first examle you showed sir when you applied momenum eqn you haven't put the value of d/dt[(Rho) Vx . d(Vol)] ?

[@pojnichap8222]

Thank you, you’ve saved my life!

[@CPPMechEngTutorials]

Wow. Our intention was only to help educate students, but saving a life is even better.

[@nicolas12189]

Excellent Professor

[@CPPMechEngTutorials]

+nicolas12189 One of our best!

[@linaalaameri7668]

how can i find the rest of the videos

[@ngjie1130]

thank you for the series of videos!

[@CPPMechEngTutorials]

Our pleasure. There are more in the pipeline.

[@gemacabero6482]

At 44: 13, why is V1 = 0 ?? Thank you!

[@gamechatter1914]

can you explain why area is taken as negative?

[@user-ok9oz3wk5x]

Thank you very much, I'm from saudi arabia and because of your lessons I've got A+.

[@CPPMechEngTutorials]

I'm sure your efforts had something to do with the A+.

[@asdfasdf6587]

Excellent lecture and video quality.

[@CPPMechEngTutorials]

It was our first attempt at recording a lecture series. Fortunately we had a student assistant (listed in the credits) who was very good at videography and editing.

[@belisariogonzalez7793]

Dr. Biddle helping me review for the FE!

[@CPPMechEngTutorials]

+Belisario Gonzalez Good luck on the exam!

[@abdulkarimsaeed9882]

I salute prof......i enjoy your lectures from Ghana

[@CPPMechEngTutorials]

Thanks!

[@borae.3764]

Thank you it helped a lot. ''Helal olsun'' from Turkey

[@CPPMechEngTutorials]

"Howdy" from America

[@user-bu8nb1bf1j]

The answer to The question that student asked at the end is yes! If pt2 goes lower, the velocity gets higher, that’s because more z is transferred into v^2/2g(while the pressures stays at P atm)

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/q6Ozq3mAob5loaM

[@amirhotak49]

I am taking Fluid Mechanics in the summer and the professor is good but moves way too fast. However, with your videos I am able to understand everything that's going on in class now.Thank you!

[@CPPMechEngTutorials]

Great! We hope that these videos can be a resource for students everywhere.

[@brandonlawrence5851]

@@CPPMechEngTutorials They really are! These are absolutely saving my life in Fluids over quarantine, and helping me to really get an intuitive feel for the subject matter. Incredibly grateful that you've shared this resource, I know a lot of good will come of this over the years to come!

[@incadesentcat5852]

Dr. Biddle probably teaches more students through these videos than he does in the classroom! Much appreciated, these have been a tremendous help!

[@CPPMechEngTutorials]

The internet is a wonderful thing.

[@d7wess]

thank u dr Biddle

[@vinaydeshmukh8446]

I finally understand what I'm doing in class.

[@CPPMechEngTutorials]

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[@loayalahmad108]

THANK U SO MUCH

[@shadyelshater1165]

In the problem starting at 0:31:00 how can a liquid be pushed if the tube at the top is at a higher height with respect to the tank?

[@bhradramazani]

He did state it's a siphon problem.

[@weaselhatgaming1010]

At 13:30, we assume P2/y= 0. Is this because P2 @ nozzle exit is 0?

[@scott337]

Yes as it's atmospheric

[@ahmadabboud8796]

51:00 how is H= 3.19 ft? Can someone explain the calculation step by step?

[@Jono.]

I am 2 years late but maybe this will help those in the future. Using g = 32.2 ft/s^2 On the RHS of equation, (10ft/s)^2/(2(32.2ft/s^2)) + (5ft -4ft) = 2.5527ft If G = gamma we now have (G_oil/G_water)H = 2.5527ft -> H = (G_water/G_oil)(2.5527ft) -> G_water = 62.4 (front page of textbook) H = (62.4/50)(2.5527) = 3.19ft.

[@ddu_buck2869]

thank you professor! i'm korean student. inha univ.

[@CPPMechEngTutorials]

You're welcome!

[@nightquake2]

Is the pressure in Boutneulli equation gauge pressure ?

[@avhijitnair409]

Unless mentioned, we always consider gauge pressure.

[@rashidmemon2612]

any other courses thermo II is deadly needed plzz help me out

[@CPPMechEngTutorials]

Thermo II likely will be coming sometime next academic year... but probably toward the end of the academic year. Thermo I likely will be released in the near future.

[@husnainhyder6713]

the lecture is great but one question in problem 3.50 where is the Datum line is Situated Please help me on this Datum line helps alot in such problems.

[@CPPMechEngTutorials]

The datum is wherever you want it to be. It should have no impact on the final answer.

[@husnainhyder6713]

Thanks

[@estherchua5428]

Can somebody explain how steady flow results in the time rate of change of the B inside the control volume being zero? :(

[@CPPMechEngTutorials]

Please provide a time stamp when this is discussed.

[@estherchua5428]

10:06 Thank you!

[@CPPMechEngTutorials]

Steady flow conditions mean that the total amount of extensive property (in this case momentum) in the CV is not changing in time. The rate that momentum enters the CV is equal to the rate momentum leaves the CV, so there is no net accumulation of momentum in the control volume. More generally, if someone wants to examine steady flow or state state conditions, any term with a time derivative gets set to zero because the quantity is not changing in time.

[@benkadir179]

thank you dr.john biddle

[@CPPMechEngTutorials]

+BEN KADİR We were very happy that he allowed the department to record him. His ME 415 lectures also were recorded... those videos likely will be available by F2016.

[@josephwillowgarcia6341]

What textbook does this follow?

[@avhijitnair409]

Fundamentals of Fluid Mechanics by Munson

[@MisterBinx]

One thing I don't get is how we can say a certain surface isn't moving, v=0, yet at the end of the tube it is flowing with some velocity. Is this because we are analyzing an instantaneous moment?

[@weaselhatgaming1010]

Not sure I understand your question correctly, but if you're asking why the movement along a wall is technically 0, remember that all our streamline equations are along the streamline. I know the velocity of a wave is 0 at it's base, and believe that same principle may apply to water flowing through horizontal walls/bases

[@scott337]

When liquid drains from a large tank the surface is moving at such a low velocity it's considered negligible when compared to the velocity of the liquid draining. Think of filling a swimming pool with a hose, the velocity of water coming from the hose might be 20m/s but if you watch the surface level of the pool you almost can't see it moving because it'll be approx 0.01m/s so you just consider it 0 m/s

[@A.Hisham86]

Well, the equation at 45:00 is definitely wrong, no telling the result!

[@svsnmurthy6849]

love and salute from india.

[@CPPMechEngTutorials]

"Hi" from California.

[@erickeenan3013]

Dr. Biddle for president

[@kayyord]

Any explanation for why A1 has the negative sign and A2 is positive?

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/q6Ozq3mAob5loaM

[@avhijitnair409]

When considering A1, V1 and A1 are in opposite direction(V1 is going inside the control volume, and since Area always points out of the Control Volume, they happen to be in opposite direction), so V1.A1 = |V1| |A1| cos (180) degree = |V1| |A1| (-1) = -V1A1. Now for the A2 part, they're in same direction, so V2.A2 = |V2| |A2| cos (0) degree = |V2| |A2| (1) = +V2A2.

[@edutechguruengineeringlear4280]

@@avhijitnair409 kzbin.info/www/bejne/fYvQmpSDj9tknZo

[@jalalkhan4981]

35:50 Engineers love sketches! :p

[@edutechguruengineeringlear4280]

kzbin.info/www/bejne/q6Ozq3mAob5loaM . .

[@DagamerJc22]

bro -.5 points? my professor gives -15/35 tf