Derivation of the Navier-Stokes Equations
In this video we will derive the famous Navier-Stokes Equations by having a look at a simple Control Volume (CV). A small introduction to classical mechanics at given in the beginning. Comment, Like & Subscribe!
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As a member of SimScale, some pictures in this video have been used from the SimScale platform. SimScale is the world’s first production-ready SaaS application for engineering simulation, completely cloud-based and easily accessible through a web-browser. Try CFD and FEA now by creating a free Community account in minutes: https://bit.ly/316Aqgt
Contact:
If you need help or have any questions or want to collaborate feel free to reach out to me via email: engineeringmkl@gmail.com
#NavierStokes
#Physics
#Engineering
Time Stamps
----------------------
0:00 - 1:38 : Intro to Classical Mechanics
1:39 - 3:13 : History of the Navier-Stokes Equations
3:14 - 4:24 : Recap - Fundamental Equations
4:25 - 6:26 : Fundamental Equations of Fluid Mechanics
6:27 - 7:10 : What is Missing? - Normal & Shear Stresses
7:11 - 7:30 : Body Forces
7:31 - 8:04 : Normal & Shear Stresses - Visualization
8:05 - 8:45 : Assembling of the Equations
8:46 - 8:58 : Simplify the Equations
8:59 - 9:27 : Questions that need to be answered
9:28 - 10:46 : The Stress Tensor
10:47 - 11:07 : Pressure
11:08 - 11:34 : Separate Stress Tensor
11:35 - 11:40: Preliminary Equations
11:41 - 12:10: Stokes Hypothesis
12:11 - 12:49 : Product Rule for RHS
12:50 - 14:20: Final Form of the NSE
14:21 - 15:12 : Substantial Derivative
15:13 - 15:49 : Lagrangian vs. Eulerian Frame of Reference
15:50 - 16:12 : The Navier-Stokes Equation (Newton's 2nd Law of Motion)
16:13 - End : Outro
Видео Derivation of the Navier-Stokes Equations канала Jousef Murad
🧠 Subscribe for more free videos: https://bit.ly/2RLmMxq
► Part 1 - Derivation of the Mass Conservation Equation: https://www.youtube.com/watch?v=v9Y_O74_fV0
► Part 3 - Derivation of the Energy Equation: https://www.youtube.com/watch?v=in68iBENe14
► PDF of the presentation: https://www.patreon.com/posts/derivation-of-34090956
► Become my Patreon: https://www.patreon.com/theengiineer
► The best books on Artificial Intelligence, Data Science & Programming: https://bit.ly/2QczCmI - use "podengineered20" to get 40% discount!
► 2-month free Skillshare trial: https://skillshare.eqcm.net/nZPaA
► One-time contribution: https://bit.ly/2PgsIvM
Follow me here:
-------------------------
🌍My website - https://www.engineered-mind.com
🎙️ Podcast (Audio only): https://anchor.fm/jousef-murad
📝Discord: https://discord.gg/pU2btcN
📸Instagram: https://www.instagram.com/jousefmrd/
📕Facebook: https://www.facebook.com/TheEngiineer
💻Github: https://github.com/jousefm/
🐤Twitter: https://twitter.com/Jousefm2
🎥 My Gear - https://kit.co/jousefm
🎵 Joachim Heinrich - Words
As a member of SimScale, some pictures in this video have been used from the SimScale platform. SimScale is the world’s first production-ready SaaS application for engineering simulation, completely cloud-based and easily accessible through a web-browser. Try CFD and FEA now by creating a free Community account in minutes: https://bit.ly/316Aqgt
Contact:
If you need help or have any questions or want to collaborate feel free to reach out to me via email: engineeringmkl@gmail.com
#NavierStokes
#Physics
#Engineering
Time Stamps
----------------------
0:00 - 1:38 : Intro to Classical Mechanics
1:39 - 3:13 : History of the Navier-Stokes Equations
3:14 - 4:24 : Recap - Fundamental Equations
4:25 - 6:26 : Fundamental Equations of Fluid Mechanics
6:27 - 7:10 : What is Missing? - Normal & Shear Stresses
7:11 - 7:30 : Body Forces
7:31 - 8:04 : Normal & Shear Stresses - Visualization
8:05 - 8:45 : Assembling of the Equations
8:46 - 8:58 : Simplify the Equations
8:59 - 9:27 : Questions that need to be answered
9:28 - 10:46 : The Stress Tensor
10:47 - 11:07 : Pressure
11:08 - 11:34 : Separate Stress Tensor
11:35 - 11:40: Preliminary Equations
11:41 - 12:10: Stokes Hypothesis
12:11 - 12:49 : Product Rule for RHS
12:50 - 14:20: Final Form of the NSE
14:21 - 15:12 : Substantial Derivative
15:13 - 15:49 : Lagrangian vs. Eulerian Frame of Reference
15:50 - 16:12 : The Navier-Stokes Equation (Newton's 2nd Law of Motion)
16:13 - End : Outro
Видео Derivation of the Navier-Stokes Equations канала Jousef Murad
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