Derivation of the Mass Continuity Equation

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In this video, we will derive the mass continuity equation by having a look at a simple Control Volume (CV). This derivation will then be used for a subsequent video to derive the Navier-Stokes Equations. Animations from Grant Sanderson (aka. 3Blue1Brown) are included.

► Part 2 - Derivation of the Navier-Stokes Equations:    • Derivation of the Navier-Stokes Equat...  
► Part 3 - Derivation of the Energy Equation:    • Derivation of the Energy Equation  
► PDF of the presentation:   / derivation-of-33991149  
► Grant's Channel:    / @3blue1brown  

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#NavierStokes
#MassConservation
#Mathematics

Time Stamps
----------------------
0:00 - 1:11 : Intro
1:12 - 3:32 : Reynold's Transport Theorem
3:33 - 4:25 : Differential Form
4:26 - 4:55 : Fundamental Equations of Fluid Mechanics
4:56 - 5:19 : Conservation of Mass
5:20 - 6:00 : Momentum Equation
6:01 - 6:08 : Recap Terminology
6:09 - 6:20 : Control Volume (CV)
6:21 - 6:33 : Conservation of Mass (in words)
6:34 - 10:55 : Derivation of the Mass Continuity Equation
10:56 - 14:58 : Explanation of the Divergence
14:59 - End : Outro