Von Karman approximation

In the experiment one often deals with large initial deviations from equilibrium for example, such is the case when a new oil-water interface is formed by the breaking of larger emulsion drops during emulsification. In the case of large perturbation there is no general analytical expression for the dynamic surface tension a(t) since the adsorption isotherms (except that of Henry, see Table 1) are nonlinear. In this case one can use eiflier a computer solution (44, 45) or apply the von Karman approximate approach (46,47). Analytical asymptotic expressions for the long time (t tj) relaxation of surface tension of a nonionic surfactant solution was obtained by Hansen (48) ... 

---