Wetting of a vertical plate by a liquid flowing through a vertical nozzle

A model has been developed describing the wetting of a vertical plate by a liquid, starting from the exact hydrodynamic equations. By incorporating an approximately chosen wetting force term into the Navier-Stokes equations and using laminar boundary layer theory, the velocity field, the width and the actual contact angle characterizing the flow of the liquid were determined.The results predicted by the model were compared with those experimentally obtained for two limiting cases, and good agreement was demonstrated using the aqueous glycerol mixtures. The model was unsatisfactory for the water film since the boundary layer rapidly became turbulent and it was also observed that poor agreement was obtained with the mineral oil.