🎬the difference between concentration change due to external flow and concentration change due to int

the difference between concentration change due to external flow and concentration change due to internal processes

The animated demo for the Continuity Equation with a Sink Term effectively demonstrates the conservation law's dependence on two distinct effects: convective transport and internal generation/destruction. The simulation shows the concentration ( $n$ ) of particles decreasing much faster than in a flow-only scenario because the positive divergence ( $\nabla \cdot J$, the spreading due to outward flow) works in tandem with the uniform, internal sink term ( $-R$, or evaporation). This principle highlights that when modeling real-world transport phenomena, any change in local concentration must be mathematically accounted for by balancing the movement of the material across boundaries ( $\nabla \cdot J$ ) with the rate at which the material is created or destroyed inside the volume ( $S$ ).

Narrated Video

Condensed Notes

the difference between concentration change due to external flow and concentration change due to internal processes | Animated Resultsviadean on Notion