Chanel: Science of Fluids,    / scienceoffluids  
Playlist: Fluids made easy: 06 Fundamentals of potential flow theory
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This talk provides an easy and more understandable way to derive the Bernoulli's equation, based on the simple streamline equations and the Euler equations. As such, the derivation of the Bernoulli's equation (the most used dynamic equation in fluids)would not be involved in the complicated mathematical formulas (such as the calculus identity) as well as the complicated physical understanding (the curl of the velocity vector...), while in this talk, only the simple calculus would be employed, which would be a significant advantage in deriving the Bernoulli's equation.
In this talk, following contents are included:
An explanation why in some practical applications, fluids can be assumed as inviscid.
A historical introduction of Bernoulli’s principle and equation
Assumptions for Bernoulli’s equation
Streamline equations and Euler equation
Derivation of the conventional Bernoulli’s equation: stepbystep derivation
2 simple examples in applying Bernoulli’s equation