Taylor dispersion in thin liquid films of volatile mixtures: A quantitative model for Marangoni contraction

Marangoni contraction describes the apparent dewetting behavior of certain volatile mixtures from high-energy surfaces due to Marangoni flows. These flows also lead to strong mixing in the droplets. Here we demonstrate that this process is fully captured in the lubrication approximation if one accounts for Taylor dispersion. We derive the dimensionally reduced form of the advection-diffusion problem of bulk mixtures in thin films, showing that Taylor dispersion is required to establish consistent orders in the long-wave expansion.