 Conservation of insoluble surfactant on a moving interface

ID: conservation-of-insoluble-surfactant-on-a-moving-interface

C

per unit surface area, conservation on a moving material interface gives

\frac{D C}{D t} = - C [\nabla_{s} \cdot u_{s} + u_{n} \nabla_{s} \cdot n] + D_{s} Δ_{s} C .

The material derivative follows the surface particles. The two dilution terms are tangential expansion and curvature-induced area change from normal velocity

u_{n}

; the last term is surface diffusion.

 New to topics? Read the docs here!