Conservation and constitutive equations for adsorbed species undergoing surface diffusion and convection at a fluid-fluid interface
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2019, Journal of Colloid and Interface ScienceCitation Excerpt :Particles straddling a fluid or a soft interface are encountered in many research fields ranging from Pickering emulsions, self-assembly, flotation, encapsulation, drug delivery, microrheology and microfluidics [3–8]. Translational and rotational motions of particles partially immersed at a fluid interface differ strongly from the motions in the bulk [9,10]. The fluid interface indeed interacts with the particle motion via hydrodynamic and capillary interactions.
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2001, Studies in Interface ScienceCitation Excerpt :It should be noted that with the exception of an unknown (instrumental) additive constant in the experimental data for H, the theoretical curves in Fig. 8.19 are drawn without using any other adjustable parameter [18]. The hydrodynamic theory by Brenner and Leal [20,21], and Danov et al. [22], predicts that the drag coefficient fd of a particle attached to a planar fluid interface is a function only of the of the viscosities of the two fluids and of the three-phase contact angle, α2. The experiments in Ref. [19] with particles on air–water interface give fd varying between 0.68 and 0.54 for particle contact angle α2 varying from 49° to 82° (the less the depth of particle immersion, the less the drag coefficient fd); these experimentally obtained data for fd are in a very good quantitative agreement with the hydrodynamic theory of the drag coefficient [22].
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2000, Advances in Colloid and Interface ScienceCitation Excerpt :One sees in Fig. 10 that the agreement between theory and experiment is very good. According to the hydrodynamic theory by Brenner and Leal [69,70], and Danov et al. [71], the drag coefficient fd of a particle attached to a planar fluid interface is a function only of the viscosities of the two fluids and of the three-phase contact angle, α2. The experiment by Petkov et al. [68] gives fd varying between 0.68 and 0.54 for particle contact angle varying from 49° to 82° (the less the depth of particle immersion, the less the drag coefficient, as could be expected); the data are in a very good quantitative agreement with the hydrodynamic theory of the drag coefficient [69–71].
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