📢From Extensive Properties to the Continuity Equation

The collective demonstrations present a unified visual framework for the fundamental conservation and continuity principles that underlie physics and engineering. From mechanics to thermodynamics, they reveal how physical laws emerge from balance relations: the conservation of momentum follows from Newton’s third law, ensuring total momentum remains constant in a closed system; the continuity of mass in fluid flow explains why a falling water stream narrows as velocity increases; and in transport phenomena, local concentration changes arise from the interplay between flux divergence and internal generation or loss. Electromagnetic behavior is clarified through visualizing how only the perpendicular component of current density contributes to flux and how charges in conductors rapidly move to the surface. Finally, thermodynamic visualizations distinguish intensive and extensive properties, showing their mathematical linkage through integration, culminating in the Continuity Equation—a universal expression of how any conserved quantity evolves through flow, accumulation, and transformation.

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From Extensive Properties to the Continuity Equation | Audiosviadean on Notion