These 11 sources offer an overview of fundamental concepts in physics and engineering, primarily focusing on fluid dynamics, momentum transport, and the solution of differential equations. Several texts explain fluid behavior, such as how the Cauchy Momentum Equation introduces pressure to model interacting particles, how hydrostatic equilibrium balances gravitational and pressure forces, and how Bernoulli's principle demonstrates the conservation of energy through the inverse relationship between speed and pressure. Specific fluid flow phenomena are also covered, including the Poiseuille flow parabolic profile and the significant impact of pipe radius on flow rate, alongside the role of stagnation pressure loss as a metric for inefficiency in propulsion systems. Additionally, the texts address the mathematical tools used to model these physical systems, particularly the superposition principle for linear differential equations, which is applied to both wave mechanics and the decomposition of complex inhomogeneous boundary problems into simpler, solvable components.

🍁Voice-over for a collection of 11 demos

A derivative illustration based on our specific text and creative direction

A derivative illustration based on our specific text and creative direction

🫧Cue Column

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1. the convective transport of momentum through a surface element by a fluid moving with velocity and 5 examples
2. From Dust to D-Force-Visualizing the Cauchy Momentum Equation
3. Visualize hydrostatic equilibrium is best done by focusing on the balance of forces acting on an infinitesimal volume of fluid and the resulting pressure distribution
4. visualize the inverse relationship between fluid speed and pressure along a streamline-Bernoulli's principle
5. how pressure and temperature and density and velocity change as a gas flows isentropically through a convergent-divergent nozzle
6. Hagen-Poiseuille flow-or called Poiseuille flow through a circular pipe
7. the relationship between numerical modeling and analytical solutions-Poiseuille's Law in fluid mechanics
8. superposition principle in both electrostatics and wave propagation
9. how the three components—the quasi-static response and the transient response and the steady-state forced response combine to form the total solution
10. Heat Conduction with Inhomogeneous Condition and Homogeneous Condition
11. Momentum Transport is the Dynamic Coupling of Mass and Motion </aside>

🏗️Structural clarification of Condensed Notes

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🗒️Downloadable Files - Recursive updates

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