Fluid Mechanics: Dimensional Analysis (23 of 34)

0:00:15 - Purpose of dimensional analysis
0:13:33 - Buckingham Pi Theorem
0:21:38 - Example: Finding pi terms using Buckingham Pi Theorem
0:47:26 - Example: Finding pi terms by observation
0:54:05 - Example: Finding important non-dimensional parameters in a governing equation
Want to see more mechanical engineering instructional videos? Visit the Cal Poly Pomona Mechanical Engineering Department's video library, ME Online: www.cpp.edu/meo...
This lecture series was recorded live at Cal Poly Pomona during Spring 2018. The textbook is White "Fluid Mechanics (8th edition)."

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I did!

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The prof is an absolute god-sent. My prof just rushed through the process and what to do, without once going into "why" we even do this. Props from Germany

[@leminhduy8368]

I was in a chemical engineering school 5 years ago and trust me, this introduction of dimensional analysic is a masterpiece. Thanks so much for this lecture!

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He sure loves his dimensional analysis.

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Respect to such professors,who goes into the reasoning of everything which they teaches instead of solving numericals with clumsy equations.!love from india sir!!

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Thanks!

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I agree. Thanks Professor Biddle, I watched your lectures to get through my fluids course.

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That's why we recorded him. :)

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Glad the student asked the question about why he didn't choose FD or u as repeating variables. Kudos to you!

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Hope you enjoy the rest of the channel!

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Brilliant lecturer! Really helped me understand the importance of dimensional analysis as well as a method for solving

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this guy is fricking awesome, helped me master pi theorem

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[@asdfghjklmayraa]

my question is, why did we use the radius as a variable instead of the length of the cylinder? could we have used either?

[@arseniikvachan1309]

Yes, you can. It is dimensional analysis. It is an approximation on the output, given a relative input. This is not nuclear physics or something. But the best option will be probably to use the volume.

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[@MATHSdotPHYSICS]

Great lecture. Respect 👏

[@nurmuhammadsumon2729]

Why length of the cylinder is not considered as a variable? or why drag force is not a function of length of cylinder?

[@7617mike]

Thank you Dr. John Biddle

[@CPPMechEngTutorials]

He says, "You're welcome"

[@awoldn]

Given the roughness, is it possible to solve the problem using only 2 pi? The roughness would be a repeating variable.

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Oh boy this was fun...dimensional analysis is cool man😆

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John Biddle where have you been all my life? 🤔 I have watched countless engineering related videos and just happened to stumble into this one. 🥳 Thank you very much and is there a text book? PS our engineers pick up the phone and talk to sales people. Sometimes it even works. 🤣

[@CPPMechEngTutorials]

He's been right here... on KZbin. If you like this lecture series, check out www.cpp.edu/meonline. The textbook is listed in the show notes.

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@@CPPMechEngTutorials Thank you.

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Great great great great great great great great great Thank you Dr so much

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There can be only one Dr. Biddle.

[@adilsondarwin]

Thank you so much, Sir!!

[@MisterBinx]

My only question is why did you select 3 dimensionless parameters instead of 4. I know you have two pi terms and add on the remaining parameters but there is no mention of how many you should select. Just that they need to have m,L, and t.

[@Mullligan]

The number of repeating variables you use is also m, which is the number of primary dimensions (M, L, T) present. The number of repeating variables you choose can also be less than m if m amount is not possible, eg if some of the variables are dimensionless.

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let apologize on behalf of those 4 people who dislike this video ..they have an hearing problem

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[@YerraGowri-wh7hn]

WHY DID SIR, CHOSE ONLY THREE REAPEATING VARIABLES ?

[@vishnureddy1884]

interesting video very good work

[@CPPMechEngTutorials]

Thanks.

[@bijoydeori4469]

useful for gate??

[@aisaqib4889]

tywin lannister teaching fluid mechanics.

[@evazhang3232]

Thank you for the lecture! I am wondering how to determine the very first step. how to determine FD is a function of D V rho and miu. if we are in the process of research, we don't know what really matters to this force. maybe we can list few, but i am not sure if we can list all. Does this method works if I miss one of the parameter, for example, I didn't recognize miu. so FD is just a function of DV rho. or someone also mention T, if T is part of the FD function, what then? does this method work in an uncertain condition? or maybe the graph we plot at the end will tell if we found all and reasonable correct parameter? Thank you!

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Good professors such as John Biddle make you feel like they are talking to you; bad professors make you feel like they are talking to themselves.

[@osmankack9554]

Is that U* called U+? Afaik U* is friction velocity and it isn't dimensionless. I'm slightly confused or maybe he's just using a different notation.

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How to calculate the yield theoretically?

[@banukamalshan8162]

sir repeating variable how can be identified

[@muhammadafifhidayat2566]

is it mean that we have to have minimal 2 pi formula ?

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N-M.

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Professor, you sounded breathless in this lecture. With all due respect, have you gotten a physical recently?

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Dr. Biddle is doing just fine. The microphone pics up a lot of sounds!

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We are a bit southwest of death valley.

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why are we learning this in fluid 1 -_-

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These courses were recorded in the quarter system.

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Those 15 minutes in the beginning of the lecture worths millions of dollars. Thanks professor. It would be helpful if those notes are available online

[@yoloboie9479]

This was very helpful. Thank you! Prof is great!

[@CPPMechEngTutorials]

Thanks!

[@kiddjmadd]

Hands down the best explanation of the Pi theorem I've seen (though granted, I may have skipped that class or not realized the importance / paid attention back in college). Apparently, nature doesn't care about our arbitrary, man-made units. Thanks so much Professor!

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[@CPPMechEngTutorials]

We're pretty sure nature cares about slugs, bushels, and acres.

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DOCTOR BIDDLE

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You're the best Dr Biddle!

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what a great lecture. Thank you for showing all the cases as well. nicely done as always professor Biddle

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Could anyone walk me through how to do this for Mach number in a turbo machine? I am so lost in my thermo class trying to use this method.

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Thanks a lot sir for such beautiful explanation

[@p0liQol1]

What book are they using?

[@roshanrai7010]

pi should be dimensionless but in the last example the pi the you find is v/hu which is not dimensionless.

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We are focusing on our high demand courses first, but eventually we would like to have videos for all our courses.

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Great.