visualize the inverse relationship between fluid speed and pressure along a streamline-Bernoulli's principle

The interactive visualization powerfully demonstrates Bernoulli's Principle, proving that the total energy per unit mass along a steady streamline remains constant: $\frac{P}{\rho}+\frac{1}{2} v^2+g h=$ Constant. The animation, through synchronized movement and real-time numerical labels, shows the compulsory energy trade-offs: as the fluid parcel moves into a narrowing section, its velocity increases due to mass conservation, forcing a corresponding conversion of Pressure Energy ( $\frac{P}{\rho}$ ) into Kinetic Energy ( $\frac{1}{2} v^2$ ). Conversely, as the parcel moves to a higher elevation, its Gravitational Potential Energy ( $g h$ ) increases, immediately requiring a drop in both Kinetic and Pressure Energy to ensure that the total height of the stacked energy bar never fluctuates. This constant sum confirms the principle as a fundamental statement of energy conservation for ideal fluids.

🎬Narrated Video

https://youtu.be/9tR8NYFSVi4

🏗️Structural clarification of Condensed Notes

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🗒️Downloadable Files - Recursive updates

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Copyright Notice

All content and images on this page are the property of Sayako Dean, unless otherwise stated. They are protected by United States and international copyright laws. Any unauthorized use, reproduction, or distribution is strictly prohibited. For permission requests, please contact [email protected]

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