Phenomenon of foam and emulsion jamming at low shear rates is explained by considering the dynamics of thinning of the transient films, formed between neighboring bubbles and drops. After gradually thinning down to a critical thickness, these films undergo instability transition and thin stepwise, forming the so-called "black films", which are only several nanometers thick and, thereby, lead to strong adhesion between the dispersed particles. Theoretical analysis shows that such film thickness instability occurs only if the contact time between the bubbles/drops in sheared foam/emulsion is sufficiently long, which corresponds to sufficiently low (critical) rate of shear. Explicit expression for this critical rate is proposed and compared to experimental data. 83.80.Iz, 83.60.Wc, 47.57.Bc, 82.70.Rr, 82.70.Kj.
PACS:Non-homogeneous flow, often discussed in terms of "shear banding" or "jammingunjamming transitions", attracted researchers' attention in several areas, because it appears as a generic phenomenon in various systems, such as glassy and granular materials, concentrated suspensions, foams, emulsions, and micellar solutions [1][2][3][4][5][6][7][8][9][10]. This phenomenon is still poorly understood and appropriate theoretical modeling, beyond the phenomenological description, is missing. Foams and emulsions seem particularly suitable for studying and modeling such nonhomogenous flow and related phenomena, because the behavior of these systems is governed by a relatively well understood interplay of capillary effects and viscous friction in the films, formed between neighboring bubbles and drops [11][12][13][14][15]. This understanding provides the unique possibility for detailed theoretical modeling and experimental studies of these systems at the microstructural level (viz. at the level of single drops, bubbles, and films), which is impossible for the other systems of interest.Recently, several systematic studies were performed [1-10] to clarify the main factors controlling jamming/unjamming transitions in foams and emulsions. Some of the conclusions, relevant to the current study are: (i) Jamming is observed at a certain "critical" shear rate. When this critical rate is reached from above, the bubbles/drops in the dispersion "stick" to each other, thus creating jammed zones. (ii) Critical shear rate depends on several factors, such as the drop and bubble size, volume fraction, and most importantly, on the interaction between dispersed particles. The effect of interparticle forces was convincingly demonstrated with moderately concentrated emulsions (drop volume fraction Φ = 0.73), for which jamming transition was observed in the systems with attractive interdroplet forces only [10]. Until now these observations lack clear explanations and quantitative description.The main purpose of the current letter is to demonstrate that jamming transitions in flowing foams and emulsions could be explained by considering the dynamics of thinning of the films formed 1