Diffusion-controlled adsorption kinetics at the air/solution interface

Understanding Enhanced Boiling With Triton X Surfactants

“…By taking into account adsorption and calculating the change in contact angle and nucleation using (11), (12), (13), and (9), we plotted the Mikic-Rohsenow model (8) and compared them to the boiling data. Obtaining the contact angle of the pure surfactant phase, θ s , experimentally would be difficult as it requires measurement of the contact angle at the instantaneous moment of bubble nucleation.…”

“…The validity of the t 1/2 dependence of dynamic surface tension has been demonstrated with a variety of surfactants, including Triton X-100 [11] for timescales less than 50 ms. Using data from Liu et al [11], we calculated that a value of 8 × 10 −10 m 2 s −1 is appropriate for the diffusion coefficient, D 1 .…”

“…Using data from Liu et al [11], we calculated that a value of 8 × 10 −10 m 2 s −1 is appropriate for the diffusion coefficient, D 1 . Data from Fainerman et al shows that the diffusion coefficient should be similar for Triton X-100 and Triton X-114 [12]; therefore, the same value for the diffusion coefficient is used in this study.…”

Short-time behavior of mixed diffusion-barrier controlled adsorption

“…(30)), short-time experimental DST data for these surfactant systems have been interpreted in the context of Eq. (29) [32,33,35,51,[56][57][58][59][60]. Indeed, it is typical to plot the short-time experimental DST as a function of √ t , and to extract D values from the resulting slope using Eq.…”

“…Interestingly, the experimental DST behavior of many nonionic surfactant systems appears to contradict the theoretical predictions summarized above: the experimental DST behavior of these nonionic surfactant systems exhibits a √ t variation at short times, and this behavior is considered as a fingerprint for the existence of diffusion-controlled adsorption at short times based on the short-time asymptotic prediction of the diffusioncontrolled model [32,33,35,51,[56][57][58][59][60]. Furthermore, based on this interpretation of the experimental observations, it has been proposed that the fundamental physical basis underlying the existence of the energy barrier is associated with high surfactant surface concentrations [32,35,45,57].…”