📢Robin versus Dirichlet Boundary Flow Equilibrium

The Robin boundary condition is crucial for modelling convection-diffusion systems where the goal is to maintain zero net material transfer across a boundary. Mathematically, the condition that the total current ($\vec{\jmath}$) in the normal direction must be zero directly leads to the Robin boundary condition, specifically identifying the parameters as $\alpha=\vec{n} \cdot \vec{v}_0$, $\beta=-D$, and $k=0$. This boundary constraint fundamentally dictates the resulting flow state, achieving a dynamic equilibrium by forcing the concentration to self-adjust to a non-zero value, ensuring that the outward convective flow is precisely balanced by the inward diffusive flow.

Narrated video

Relevant file & Demo

Robin versus Dirichlet Boundary Flow Equilibrium | Audiosviadean on Notion