A basic overview of the material derivative, conservative and advective forms of the Navier-Stokes equations.

Time stamps
0:00 Introduction
0:00 Introduction
0:57 Example Problem
7:56 Material Derivative
10:21 Navier-Stokes derivation
15:36 Surface and volume forces
19:36 Conservative and advective form
22:59 Derivation
27:39 Equivalence of forms
28:54 Other transport equations
31:40 Outro

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Disclaimer
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The methods, algorithms, equations, formulae, diagrams and explanations in this talk are for educational and demonstrative purposes only. They should never be used to analyse, design, accredit or validate real scientific / engineering / mathematical structures and flow systems. For such applications, appropriate trained, qualified and accredited (SQEP) engineers / scientists should be consulted along with the appropriate documentation, procedures and engineering standards. Furthermore, the information contained within this talk has not been verified, peer reviewed or checked in any way and is likely to contain several errors. It is therefore not appropriate to use this talk itself (or any of the algorithms, equations, formulae, diagrams and explanations contained within this talk) as an academic or technical reference. The reader should consult the original references and follow the verification and validation processes adopted by your company / institution when carrying out engineering calculations and analyses. Fluid Mechanics 101 and Dr. Aidan Wimshurst are not accountable or liable in any form for the use or misuse of the information contained in this talk beyond the specific educational and demonstrative purposes for which it was intended.