Dynamic simulation of liquid-liquid agitated dispersions—I. Derivation of a simplified model

Theoretical model for drop and bubble breakup in turbulent dispersions

“…The figure shows that the spread in predicted breakage rates is wide. This is similar to what was found by Laso et al (1987), and they attributed the inconsistencies to differences in the experimental conditions. This may be true, as all models are extensive in nature and thus tailored to the equipment used.…”

“…This model is geometry independent and predicts breakage rates in the middle of the other models. At droplet sizes above 0.2 mm the predicted rates are higher than those from the model of Laso et al (1987). For smaller droplet sizes the present predictions are lower than those of Laso et al (1987), but in this range higher than the model of Coulaloglou and Tavlarides (1977).…”

“…At droplet sizes above 0.2 mm the predicted rates are higher than those from the model of Laso et al (1987). For smaller droplet sizes the present predictions are lower than those of Laso et al (1987), but in this range higher than the model of Coulaloglou and Tavlarides (1977). It has not been possible to run a direct comparison with the models of Chatzi and Kiparissides (1992) because of lack of parameter values.…”

“…It has not been possible to run a direct comparison with the models of Chatzi and Kiparissides (1992) because of lack of parameter values. However, extrapolating semiquantitatively their own comparisons from the model of Laso et al (1987), their model seems to give values below that model above 0.2-mm drop size and fall off to low breakage rate values, very similar to the model presented in this work, at low droplet sizes.…”

Modeling interfacial area transport in multi-fluid systems

“…These methods are called population balance models. Curl (Curl, 1963), Hulbert and Katz (Hulbert, 1964), Eakman, Tsuchiya, and Fredickson (Eakman, 1965), Valentas and Amundson (Valentas, 1966a), Valentas, Bilous and Amundson (Valentas, 1966b), Bayens and Laurence (Bayens, 1969), Shah and Ramkrishna (Shah, 1973), Borwanker (Ramkrishna, 1973, 1974a), Park and Blair (Park, 1975), Coulaloglou and Tavlarides (Coulaloglou, 1977), Min and Ray (Min, 1978), Jeon and Lee (Jeon, 1986), Laso, Steiner, and Hartland (Laso, 1987), Guimares and Cruz-Pinto (Guimares, 1988), A1 Khani, Gourdon, and Casamatta (A1 Khani, 1989), Tsouris and Tavlarides (Tsouris, 1994), Jacob, (Jacob, I995), Ramkrishna, Sathyagal, and Narsimhan (Ramkrishna, 1995) and Lam, Sathyagal, Kumar, and Ramkrishna (Lam, 1996) have presented both theoretical approaches and experimental work validating various population balance models. Ramkrishna (Ramkrishna, 1974b) has examined the experimental work required to obtain information to apply a population balance model.…”