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In addition to a high coarsening rate, foams at low pressures may show special properties. These include a bulk modulus going to zero, a Poisson''s ratio approaching zero, and a zero binding energy, implying foam separation into individual bubbles at a critical pressure. We provide examples of calculations made for particular two-dimensional clusters with an ideal gas, which illustrate these features. We also discuss the difficulties in performing experiments at the low pressures at which the unusual properties show up. [Copyright &y& Elsevier]

The purposes of this study are to determine Ostwald ripening rates in water-in-oil (W/O) emulsions and evaluate the potential application of the LSW theory to W/O emulsions. Water-in-oil emulsions were prepared by mixing water and hydrocarbon phases containing Span 83 and homogenizing. n-Heptane, n-decane, n-dodecane, and n-tetradecane were used to obtain a range of solubilities. A linear increase in the cube of the droplet size with time was observed (within the initial period of 1–2 h after emulsion preparation), supporting the LSW theory. Based on this linear relationship, Ostwald ripening rates were determined to be 3.0×10−24, 2.3×10−24, 1.8×10−24, and 5.8×10−25 m3 s−1 for water-in-heptane, water-in-decane, water-in-dodecane, and water-in-tetradecane emulsions, respectively. These values are in agreement with theoretical predictions calculated using the LSW equation. It was observed that the ripening process gradually slowed, resulting in deviations from the LSW theory. This was attributed to the effect of the interfacial surfactant film through which the dispersed material has to diffuse during Ostwald ripening. This effect is not taken into consideration by the LSW theory. The results showed that Ostwald ripening of W/O emulsions was less sensitive to the nature of oil used and slower compared to O/W emulsions consisting of the same hydrocarbons. [Copyright &y& Elsevier]

We have synthesized ZnO nanoparticles by precipitation from zinc acetate in a series of n-alkanols from ethanol to 1-hexanol as a function of temperature. In this system, nucleation and growth are relatively fast and, at longer times, the average particle size continues to increase due to diffusion-limited coarsening. During coarsening, the particle volume increases linearly with time, in agreement with the Lifshitz–Slyozov–Wagner (LSW) model. The coarsening rate increases with increasing temperature for all solvents and increases with alkanol chain length. We show that the rate constant for coarsening is determined by the solvent viscosity, surface energy, and the bulk solubility of ZnO in the solvent. [Copyright &y& Elsevier]

Condensation phase transitions from metastable fluids occur by nucleation with accompanying particle growth and eventual Ostwald ripening. During ripening the subcritical particles dissolve spontaneously while larger particles grow and possibly coalesce if their volume fraction is large enough. The classical diffusion-influenced rates are also affected by large particle concentrations and are here described by mass-dependent rates. We represent the kinetics of ripening through growth, dissolution, and biparticle coalescence by a new population dynamics equation for the particle size distribution (PSD). Numerical solutions of the scaled governing equations show that coalescence plays a major role in influencing the PSD when the scaled mass concentration (volume fraction) or number concentration is relatively large. The solution describes the time range from initial conditions to the final narrowing of polydispersity. We show that the time dependence of the average particle mass in the asymptotic period of ripening has a power-law increase dependent on rate expressions for particle growth and coalescence at large values of volume fraction. [Copyright &y& Elsevier]

The stability of oil-in-water emulsions prepared using dextran, a natural polysaccharide, hydrophobically substituted with phenoxy groups, was studied. The evolution of the emulsion droplet size was investigated as a function of polymer concentration (Cp=0.2 to 1% w/w in a water phase) and the degree of phenoxy substitution (τ=4.2 to 15.7%). For the highest τ values, emulsions, which presented submicrometer droplets, were stable over more than 4 months at room temperature. The most substituted polymers clearly showed a better efficiency to lower the surface tension at the oil/water interface. DexP did not induce real viscosification of the continuous phase. The linearity of the particle volume variation with time, and the invariability of the volume distribution function, proved that Ostwald ripening was the main destabilization mechanism of the phenoxy dextran emulsions. The nature of the oil dispersed phase drastically affected the behavior of emulsions. While the emulsions prepared with n-dodecane presented a particle growth with time, only few size variations occurred when n-hexadecane was used. Furthermore, small ratios of n-hexadecane in n-dodecane phase reduced the particle growth due to the lower solubility and lower diffusion coefficient in water of n-hexadecane, which acted as a ripening inhibitor. [Copyright &y& Elsevier]