Graduate Fluids Lesson 02A: Fun With Tensor Notation!
Graduate Fluid Mechanics Lesson Series - Lesson 02A: Fun With Tensor Notation!
Are you ready for some intense tensor notation fun? In this 10-minute video, Professor John Cimbala shows some practical examples of how to translate vector notation into tensor notation and how to prove a vector identity in tensor notation. Finally, he shows how the Gauss theorem, when written in tensor notation, becomes the general Gauss theorem that applies to a tensor of any rank.
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A complete list of the videos, the annotated notes for each video, and the Equation Sheet can be found in this Excel file:
https://www.me.psu.edu/cimbala/Cengel...
The YouTube playlist containing all the lessons in this Graduate Fluid Mechanics Lesson Series is found here:
• Graduate Fluid Mechanics Lesson Serie...
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.
Professor Cimbala has created similar video series for other courses, including (Undergraduate) Fluid Mechanics and Air Pollution. All of his videos are available freely on YouTube. You can see videos of a particular category by going to one of Dr. Cimbala's playlists, listed here in alphabetical order:
Fluid Mechanics Lesson Series: • Fluid Mechanics Lesson Series - Video...
Graduate Fluid Mechanics Lesson Series • Graduate Fluid Mechanics Lesson Serie...
Two-Minute Bible Videos: • Two-Minute Bible Videos - Helping you...
Two-Minute Excel Tutorials: • Two-Minute Excel Tutorials - Helping ...
Two-Minute Fluid Mechanics: • Two-Minute Fluid Mechanics - Helping ...
Two-Minute Math and Statistics Videos: • Two-Minute Math and Statistics Videos...
Two-Minute Science Videos: • Two-Minute Science Videos - Helping y...
Thirty-Second Life Hacks (YouTube Shorts): • Thirty-Second Life Hacks
Short Christmas Videos: • Short Christmas Videos by John Cimbala
Short Marshmallow Peep Videos: • Short Marshmallow Peep Videos
Thirty-Second Engineering: • Thirty Second Engineering
Dr. John M. Cimbala (bio site at https://bio.site/johncimbala) 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 https://www.christianfaithgrower.com/ His YouTube channel is at / @johncimbala
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