Graduate Fluids Lesson 06A: Derivation of the Vorticity Equation
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- เผยแพร่เมื่อ 6 ก.ย. 2024
- Graduate Fluid Mechanics Lesson Series - Lesson 06A: Derivation of the Vorticity Equation
In this 11-minute video, Professor John Cimbala takes the curl of the Navier-Stokes equation in order to derive the vorticity equation for incompressible, Newtonian flow with constant properties. He uses tensor notation throughout the derivation.
A complete list of the videos, the annotated notes for each video, and the Equation Sheet can be found in this Excel file:
www.me.psu.edu...
The TH-cam playlist containing all the lessons in this Graduate Fluid Mechanics Lesson Series is found here:
• Graduate Fluid Mechani...
These video lessons are intended for use by first-year graduate students taking their first graduate-level course in fluid mechanics. For example, at Penn State our first-semester course is called Foundations of Fluid Mechanics I (ME 521). A second course follows in sequence, typically in the second semester, called Foundations of Fluid Mechanics II. Both of these courses were created by Professor Cimbala. The video lessons and notes closely follow the notes that Professor Cimbala uses when he teaches the course. Except for a few potential notation issues, however, these video lessons may be useful as a free resource at other schools and for anyone wishing to learn about fluid mechanics.
If you liked this video, please subscribe to Dr. Cimbala's TH-cam channel at / @johncimbala
Professor Cimbala has also created hundreds of short videos on various topics. You can see videos of a particular category by going to one of Dr. Cimbala's playlists, listed here in alphabetical order:
Air Pollution Lesson Series • Air Pollution Lesson S...
Excel Tutorials • Excel Tutorials
Fluid Mechanics Lesson Series • Fluid Mechanics Lesson...
Graduate Fluid Mechanics Lesson Series • Graduate Fluid Mechani...
Indoor Air Quality Engr. Lesson Series • Indoor Air Quality Eng...
Miscellaneous Videos by John M. Cimbala • Miscellaneous Videos b...
Minute Bible Quiz • Minute Bible Quiz - Th...
Short Christmas Videos • Short Christmas Videos...
Short Marshmallow Peep Videos • Short Marshmallow Peep...
Thirty-Second Life Hacks (TH-cam Shorts) • Thirty-Second Life Hacks
Thirty-Second Engineering • Thirty Second Engineering
Two-Minute Bible Videos • Two-Minute Bible Video...
Two-Minute Excel Tutorials • Two-Minute Excel Tutor...
Two-Minute Fluid Mechanics • Two-Minute Fluid Mecha...
Two-Minute Math and Statistics Videos • Two-Minute Math and St...
Two-Minute Science Videos • Two-Minute Science Vid...
Dr. John M. Cimbala (bio site at bio.site/johnc...) is Professor of Mechanical Engineering at Penn State. He is an educator, textbook author, Christian author, husband, father, and grandfather. He also created and maintains a website for helping people grow in their faith called Christian Faith Grower at www.christianf... His TH-cam channel is at / @johncimbala
Brilliant derivation!
Thank you so much for sharing your invaluable knowledge.
Best,
Reza (from Iran)
Thank you for your comment. Please tell your friends and colleagues about my TH-cam channel where there are more than 450 free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
Hello Prof Cimbala can't wait for you to tackle multi phase flows😁. Thank you very much.
I do not plan to do that... It will take till I retire to finish the graduate lessons, then I hope to do compressible flow lessons. Too much work, not enough time...
Thank you for your comment. Please tell your friends and colleagues about my TH-cam channel where there are more than 400 free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
@@johncimbala Sure Prof Cimbala
Lecture is Good sir
Thank you for your comment. Please tell your friends and colleagues about my TH-cam channel where there are more than 400 free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.
Sir please discuss real time partical problems by fluid mechanics sir and I forward your TH-cam CHANNEL TO MY FRIENDS ALSO SIR
The video you commented on is a graduate level course lesson. You will find more practical applications (not as much math!) in my undergraduate fluid mechanics lesson series. The playlist is called Fluid Mechanics Lesson Series and is at th-cam.com/play/PLQR3QcO-W5he1X1GHd_IutnslXcr4mIh8.html