Droplet breakage in stirred dispersions. Breakage functions from experimental drop-size distributions

Coalescence during Emulsification

“…The main reasons for the negative value of k, we believe, are (1) the presence of other fluorescing species and (2) the fact that we are carrying out front face acquisition where the probed sample path length changes with probe concentration (Eqs. [5] and [6] have been developed for fixed path lengths). However, since the data are best fit with a negative k we feel that we are justified in using these values of K and k in the Monte Carlo simulation.…”

“…Coalescence is either ignored (1,2) or downplayed by doing the experiments at very low drop phase loadings (3)(4)(5)(6). Coalescence has also been accounted for by using population balance models, where kinetic rate constants are assigned to the rupture and coalescence steps and a final drop size distribution is arrived at.…”

Estimación y modelización de arrastres de orgánico en acuoso (O/A) en pruebas de laboratorio de planta de extracción por solventes (SX) de cobre

“…Se observa una tendencia a disminuir la tensión a medida que aumenta la concentración de extractante y la temperatura, a consecuencia de la disminución de las fuerzas inter-iónicas entre las gotas de ambas fases. Resultados similares se obtienen en trabajos de investigación de sistemas líquidos -líquidos [7][8][9] . Además, la tensión interfacial disminuye a medida que aumenta el pH y la concentración de extractante.…”

“…Respecto a la distribución de tamaño de las gotas, éstas tienden a ser más pequeñas al incrementar la temperatura. Resultados similares se han obtenido en trabajos de investigación en sistemas líquido -líquido [3,[7][8][9] .…”

Mathematical framework for higher order breakage scenarios

“…Binary breakage has been widely studied by several authors (Valentas et al, 1966;Coulaloglou and Tavlarides, 1977;Hsia and Tavlarides, 1983;Lee et al, 1987;Konno et al, 1983;Hesketh et al, 1991;Luo and Svendsen, 1996;Sathyagal et al, 1996), since it is believed to be the most common breakage event in dilute systems; this being the most common situation in many industries. Several binary breakage rate kernels have been developed as well as several size redistribution functions, as summarized by Marchetti and Svendsen (under review) and Lasheras et al (2002).…”