II. Measurement of dynamic surface tensions of aqueous solutions by the falling meniscus method

Adsorption Kinetics of Short-Chain Alcohols at the Water/Air Interface: Diffusion-Controlled Adsorption under the Conditions of a Nonequilibrium Surface Layer

“…Finally, we can write Eq. [12] in the form The system of equations [7] to [10] cannot be solved analytically. Ward and Tordai (24) …”

“…There is the possibility of direct numeric solution of the initial and boundary value problem [7] - [10], which yields the functions c(x, t) and G(t) (37-41).…”

Bubble Motion in Aqueous Surfactant Solutions

“…The ADI equations may be expressed, following Ryskin and Leal (6), in the form In Eqs. [23] and [24], t a denotes an artificial time step that is chosen to optimize the convergence of the ADI iteration, and the superscript n denotes the ADI iteration index and should not be confused with the time step index in Table 4. Equation [14] is different from the other equations in that it is one dimensional.…”

Measurement of Dynamic Interfacial Tension and Dilatational Elasticity

“…Thus, measurements have sometimes been performed without the benefit of a complete theoretical understanding of the dynamic interfacial phenomena under consideration, resulting in the partial accounting of the influence of bulk-phase viscous stresses at fluid interfaces (Langmuir 1936, Harkins & Meyers 1937, Davies 1957, confusion between the effects of interfacial-tension gradient and interfacial viscous phenomena (Derjaguin & Titievskaya 1957, Lucassen & van den Tempel 1972, Clint et al 1981, as well as ambiguities between the interpretation of: (a) dynamic interfacial tension a and (b) thermodynamic interfacial tension <r measured at a nonequilibrium surfactant adsorption (Clint et al 1981, Defay & Hommelen 1959. Throughout the perusal of these four chapters (6-9) it should be borne in mind that precise experimental values appear less commonly in the literature for interfacial rheological properties than for their bulk-phase counterparts.…”

“…Data taken fromDefay & Hommelen (1959). Surface tension vs surface age for 0.012g/l aqueous solution of normal dodecyl alcohol, by the falling meniscus method.…”