SURFACE HYDRODYNAMICS OF SURFACTANT SOLUTION

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A mathematical model which describes surface hydrodynamics of surfactant solution is presented. In this model, equation of adsorption kinetics and relationship between surface tension and surfactant concentration are taken into consideration, in addition to ordinary basic equations such as conservation of mass and momentum for bulk fluid. In our theoretical model, the surface tension gradient resulting from surface concentration gradient acts as a boundary condition of fluid motion.Using the boundary layr approximation and Langmuirtype adsorption equation, a simple and typical flow field was studied, that is the surface acceleration induced by out flow over a weir at the downstream in the open-channel.As examples of surfactants SDBS SDS and STDS were chosen. The effect of some factors such as surfactant concentration, flow rate of the surfactant solution and the value of the adsorption rate constant, were discussed, according to the numerical solution.The validity of the numerical model is checked by laboratory experiments.