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Fluid Mechanics Lesson 13A: Introduction to Boundary Layers 

John Cimbala
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Fluid Mechanics Lesson Series - Lesson 13A: Introduction to Boundary Layers.
This video was recorded on Halloween; watch for a special guest appearance. In this 15.5-minute video, Professor Cimbala explains the concept of a boundary layer, and describes the boundary layer coordinate system used to analyze boundary layers. He then derives the boundary layer equations for steady, two-dimensional, incompressible flow and explains the significance of pressure remaining approximately constant through the boundary layer.
This video incorporates material from Section 10-6 of the Fluid Mechanics textbook by Cengel and Cimbala, Edition 4.
An Excel file listing of all the videos in this series, along with the annotated notes generated during filming of the videos, can be found at
www.me.psu.edu... .
If you liked this video, please subscribe to Dr. Cimbala's RU-vid channel at / @johncimbala to be informed when new videos are posted.
You can also watch all related short videos with one click by going to one of Dr. Cimbala's playlists:
Fluid Mechanics Lesson Series: • Fluid Mechanics Lesson...
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...
Short Marshmallow Peep Videos: • Short Marshmallow Peep...
Thirty-Second Engineering: • Thirty Second Engineering
Dr. John M. Cimbala 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 RU-vid channel is at / @johncimbala

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22 авг 2024

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Комментарии : 15   
@SHIELDSPACES
@SHIELDSPACES Год назад
Thank you for everything. Your lesson's are amazing.
@johncimbala
@johncimbala Год назад
Thank you for your kind comment. Please tell your friends and colleagues about my RU-vid channel where there are hundreds of free videos about fluid mechanics, science, math, statistics, the Bible, air pollution, and other topics. i would appreciate it.
@benjaminyellin5095
@benjaminyellin5095 Год назад
At around the 7:10 mark in the video, you say that U/L and v/δ must balance and then conclude that they must be of the same order of magnitude. Why? I understand that terms need to be dimensionally consistent, but U/L and v/δ can have the same dimensions without being the same order of magnitude, no? (like, as an analogy: you can't add meters and seconds, but adding millimeters to meters is certainly okay, no? )
@johncimbala
@johncimbala Год назад
Order of magnitude analysis is kind of fuzzy math. In this particular case, we are saying that U/L is some order of magnitude - let's call it 10. Since there is only one other term in the equation, that tern MUST have the same order of magnitude - i.e., around 10 in order to balance the equation. For example, 10 = 10, but 10 does not equal 1. In order of magnitude analysis, 9 ~ 7, but 9 is not ~ 0.7. By the way, you cannot add m and mm. You must first convert, but I understand what you mean.
@benjaminyellin5095
@benjaminyellin5095 Год назад
@@johncimbala just to clarify, when you say that the terms must have the same order of magnitude to balance the equation, you mean like if U/L~10 for example, then the equation becomes: 10 + something = 0, so we conclude that that something (v/δ in this case) must have a magnitude of 10 (-10 to be precise). Did I understand correctly?
@johncimbala
@johncimbala Год назад
@@benjaminyellin5095 Yes. Please tell your friends and colleagues about my RU-vid channel where there are hundreds of free videos about fluid mechanics, science, math, statistics, the Bible, air pollution, and other topics. i would appreciate it.
@benjaminyellin5095
@benjaminyellin5095 Год назад
@@johncimbala 👍will do
@norafatehi8900
@norafatehi8900 Год назад
Sir have you authored a book in Fluid Mechanics alongside yunus A Cengel ?
@norafatehi8900
@norafatehi8900 Год назад
Its a wonderful book with lucid explanations
@johncimbala
@johncimbala Год назад
Yes, that's me.
@norafatehi8900
@norafatehi8900 Год назад
@@johncimbala Wonderful book sir 👏 🙏 extensive coverage of theory along with numericals
@iyrw21
@iyrw21 5 месяцев назад
What happens if ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Ji7eNRo_u3g.html slip boundary condition is considered? Does it have same approach in boundary layer equation?
@johncimbala
@johncimbala 5 месяцев назад
The boundary layer equations do not depend on slip or no slip conditions. Even jets and wakes can qualify for boundary layer approximation, and they have no walls. The criterion for the boundary layer approximation is that changes in the flow direction are much slower than changes in the direction normal to the flow (usually x and y, respectively).
@johncimbala
@johncimbala 5 месяцев назад
Thank you for your comment. Please tell your friends and colleagues about my RU-vid 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.
@iyrw21
@iyrw21 5 месяцев назад
@@johncimbala thank you for the answer. This video enhances my understanding about boundary layer equation.
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