Abstract
We investigate the performance of the vertical-averaging approximation for solute concentration in an evaporating binary thin film under three common evaporation models: constant, one sided, and diffusion limited. While this approximation overperforms its formal assumptions, there are significant discrepancies in predicted film-height and solute-concentration profile outside of the region of validity. We elucidate the mechanisms giving rise to these discrepancies and derive scaling relations describing the region of validity of the approximation under each evaporation model.
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