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In this video, we will derive the famous NavierStokes 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!

► Part 1 Derivation of the Mass Conservation Equation:    • Derivation of the Mass Continuity Equ...  
► Part 3 Derivation of the Energy Equation:    • Derivation of the Energy Equation  
► PDF of the presentation:   / derivationof34090956  

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#NavierStokes
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Time Stamps

0:00 1:38 : Intro to Classical Mechanics
1:39 3:13 : History of the NavierStokes 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 NavierStokes Equation (Newton's 2nd Law of Motion)
16:13 End : Outro