Dynamic Surface Tension of Aqueous Surfactant Solutions

Dynamic Surface Tension Measurement with a Dynamic Wilhelmy Plate Technique

“…Equation [16] gives the concentration gradient inside the water layer. The negative sign can be taken away if considering the concentration gradient by the other direction, i.e., from surface to bulk.…”

Curvature Effects in the Analysis of Pendant Bubble Data: Comparison of Numerical Solutions, Asymptotic Arguments, and Data

“…In the diffusion-controlled limit, Eq. [6] and the adsorption isotherm relating (C s ) allow the evolution of the surface concentration to be obtained for a given surfactant solution. For the surfactants discussed in this paper, the Frumkin model is adopted (9).…”

On the Theory of Dynamic Surface Tension of Ionic Surfactant Solutions, I

“…In particular, for the rectangular adsorption isodescribe the diffusion-controlled adsorption in the double therms from Eqs. [8] (49,50), it is reasonable to From Eqs. [27] and [31c] for arbitrary adsorption isotherms describe the dynamic surface tension over a wide range of (Eqs.…”

“…E and the consistent time scale approach (49,50). The surface concentration, c 1 (0, t), and adsorption, G 1 (t), for…”

“…However, this analysis cannot be applied to trolled and diffusion-convective-controlled adsorption takionic surfactants as it ignores the effects that electrostatic ing into account the nonequilibrium process in the double interactions have on both the equilibrium state between the layer. In a previous papers (49,50) we considered the dybulk and interface and the rate of transport to the interface. namic surface tension for nonionic surfactant solutions.…”